{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:VASC5TRIUFAML4YLTVRJOYTZWL","short_pith_number":"pith:VASC5TRI","canonical_record":{"source":{"id":"2605.17501","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2026-05-17T15:22:15Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"28ec32a24b47e1accb5f6240bb6b6e008a1e708be31b61e2376f43778d1285e9","abstract_canon_sha256":"40d82b5368e9e9d319e5220e4ff85e57df1823532c3e396d1a9cd11a52a63581"},"schema_version":"1.0"},"canonical_sha256":"a8242ece28a140c5f30b9d62976279b2fc294d532d92b108d9a042be57b99fc6","source":{"kind":"arxiv","id":"2605.17501","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.17501","created_at":"2026-05-20T00:04:42Z"},{"alias_kind":"arxiv_version","alias_value":"2605.17501v1","created_at":"2026-05-20T00:04:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.17501","created_at":"2026-05-20T00:04:42Z"},{"alias_kind":"pith_short_12","alias_value":"VASC5TRIUFAM","created_at":"2026-05-20T00:04:42Z"},{"alias_kind":"pith_short_16","alias_value":"VASC5TRIUFAML4YL","created_at":"2026-05-20T00:04:42Z"},{"alias_kind":"pith_short_8","alias_value":"VASC5TRI","created_at":"2026-05-20T00:04:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:VASC5TRIUFAML4YLTVRJOYTZWL","target":"record","payload":{"canonical_record":{"source":{"id":"2605.17501","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2026-05-17T15:22:15Z","cross_cats_sorted":["math.GR"],"title_canon_sha256":"28ec32a24b47e1accb5f6240bb6b6e008a1e708be31b61e2376f43778d1285e9","abstract_canon_sha256":"40d82b5368e9e9d319e5220e4ff85e57df1823532c3e396d1a9cd11a52a63581"},"schema_version":"1.0"},"canonical_sha256":"a8242ece28a140c5f30b9d62976279b2fc294d532d92b108d9a042be57b99fc6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:04:42.471475Z","signature_b64":"YX8XC2a1u7edtNWTDZ2n7QJxXlNVeF4RTn5FtVGwCovAbikkHyLT1hjGaP80yyGstXJAVt1KQnYm8+vNhqTBCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a8242ece28a140c5f30b9d62976279b2fc294d532d92b108d9a042be57b99fc6","last_reissued_at":"2026-05-20T00:04:42.470854Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:04:42.470854Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.17501","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-20T00:04:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kDXJToBvaCRV41ryi0zri1n6XTmG/e5VuALkPI0nFSej3b3P91x1gdNwKARli872Q3JbKd7yBHhYoz+q4L9EAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T02:19:18.878080Z"},"content_sha256":"6559bc6c17b98fafc35067dc2a8e157573590533bb0c4d449a9c88a51783cb4e","schema_version":"1.0","event_id":"sha256:6559bc6c17b98fafc35067dc2a8e157573590533bb0c4d449a9c88a51783cb4e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:VASC5TRIUFAML4YLTVRJOYTZWL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The (n-2,2)-Spectrum of a Graph","license":"http://creativecommons.org/licenses/by/4.0/","headline":"A weighted trace polynomial from the (n-2,2) representation reconstructs every tree from its second moment except for one exceptional n.","cross_cats":["math.GR"],"primary_cat":"math.CO","authors_text":"Boris Shapiro","submitted_at":"2026-05-17T15:22:15Z","abstract_excerpt":"We study a representation-theoretic refinement of the ordinary Laplacian spectrum of a graph. Given a graph $G$ on $n$ vertices, one may associate to it the element \\[ X_G=\\sum_{ij\\in E(G)} (ij)\\in \\C[S_n]. \\] The action of $X_G$ in irreducible representations of $S_n$ produces spectral invariants of graphs. The standard representation $(n-1,1)$ recovers the ordinary graph Laplacian spectrum, up to the elementary affine change $X_G=mI-L_G$, where $m=|E(G)|$. The next component, $(n-2,2)$, gives the first representation-theoretic correction. We give an explicit edge-space model for this compone"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"The weighted trace polynomial already reconstructs every tree from the second moment, except for a single exceptional value of n where the fourth moment suffices.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The explicit edge-space model for the (n-2,2) component induces an operator whose trace moments are exactly the stated linear combinations of support-forest counts, with no hidden dependencies on the choice of basis or on graph-specific normalizations.","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Defines the (n-2,2) component of the S_n-representation of the graph element X_G, derives its edge-space model and trace moments in terms of support-forest counts, and proves that a weighted trace polynomial reconstructs all trees from the second moment except for one exceptional n.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"A weighted trace polynomial from the (n-2,2) representation reconstructs every tree from its second moment except for one exceptional n.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"18058f77a062ba4f9ed70f2452ee97beddc7239608408af2faf704702f8d24e2"},"source":{"id":"2605.17501","kind":"arxiv","version":1},"verdict":{"id":"6c6b1e13-69c6-4e6d-b13d-c1ee00799300","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-19T22:36:23.171624Z","strongest_claim":"The weighted trace polynomial already reconstructs every tree from the second moment, except for a single exceptional value of n where the fourth moment suffices.","one_line_summary":"Defines the (n-2,2) component of the S_n-representation of the graph element X_G, derives its edge-space model and trace moments in terms of support-forest counts, and proves that a weighted trace polynomial reconstructs all trees from the second moment except for one exceptional n.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The explicit edge-space model for the (n-2,2) component induces an operator whose trace moments are exactly the stated linear combinations of support-forest counts, with no hidden dependencies on the choice of basis or on graph-specific normalizations.","pith_extraction_headline":"A weighted trace polynomial from the (n-2,2) representation reconstructs every tree from its second moment except for one exceptional n."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2605.17501/integrity.json","findings":[],"available":true,"detectors_run":[{"name":"doi_title_agreement","ran_at":"2026-05-19T23:01:19.522299Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"doi_compliance","ran_at":"2026-05-19T22:41:16.933953Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"claim_evidence","ran_at":"2026-05-19T21:41:57.666693Z","status":"completed","version":"1.0.0","findings_count":0},{"name":"ai_meta_artifact","ran_at":"2026-05-19T21:33:23.636517Z","status":"skipped","version":"1.0.0","findings_count":0}],"snapshot_sha256":"1a2c0c5e20b1959fedfb4a5e4a852ac950aab1515345761367d648745d8f8e9b"},"references":{"count":10,"sample":[{"doi":"","year":1988,"title":"Diaconis,Group Representations in Probability and Statistics, Institute of Mathematical Statistics Lecture Notes– Monograph Series, vol","work_id":"0a906be5-84f0-46aa-b259-95cb85992c67","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2001,"title":"C. Godsil and G. Royle,Algebraic Graph Theory, Graduate Texts in Mathematics, vol. 207, Springer, New York, 2001","work_id":"fb86b010-e6c5-47ff-ad19-a99725e9f20c","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1982,"title":"C. D. Godsil and B. D. McKay,Constructing cospectral graphs, Aequationes Math.25(1982), 257–268","work_id":"74ef949a-06a8-4634-9df5-b9da1f004acd","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2004,"title":"W. H. Haemers and E. Spence,Enumeration of cospectral graphs, European J. Combin.25(2004), no. 2, 199–211","work_id":"a96a22aa-8699-4afa-bae4-b1301f538f0c","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2014,"title":"B. D. McKay and A. Piperno,Practical graph isomorphism, II, J. Symbolic Comput.60(2014), 94–112","work_id":"f0a14ba3-1f5c-420a-9e8b-435bd07aa780","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":10,"snapshot_sha256":"d6f9fdc1597137288b5781a2868e9c07bf42880373d5a4953a861ea4d616ac8c","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"f96740ccdc5eadcaff08364ea7747fd4359bb236e4cb43a75fa530b95bddd6f1"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":"6c6b1e13-69c6-4e6d-b13d-c1ee00799300"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-20T00:04:42Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t9uY5104rV9b2ALF1PIMVjmUoVt9EsnWEmJ/8h7PvT8W6v+Bu2sLH0ukYeDzFAxHDz+wBdRSrrcU1W2Z05SBDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T02:19:18.879025Z"},"content_sha256":"ae7bf019671b342e3b39df619da160ed3537b7b8b6d2b13c283d4b6dc4f81c21","schema_version":"1.0","event_id":"sha256:ae7bf019671b342e3b39df619da160ed3537b7b8b6d2b13c283d4b6dc4f81c21"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VASC5TRIUFAML4YLTVRJOYTZWL/bundle.json","state_url":"https://pith.science/pith/VASC5TRIUFAML4YLTVRJOYTZWL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VASC5TRIUFAML4YLTVRJOYTZWL/bundle.json","status":"primary"}],"public_keys":[{"key_id":"pith-v1-2026-05","algorithm":"ed25519","format":"raw","public_key_b64":"stVStoiQhXFxp4s2pdzPNoqVNBMojDU/fJ2db5S3CbM=","public_key_hex":"b2d552b68890857171a78b36a5dccf368a953413288c353f7c9d9d6f94b709b3","fingerprint_sha256_b32_first128bits":"RVFV5Z2OI2J3ZUO7ERDEBCYNKS","fingerprint_sha256_hex":"8d4b5ee74e4693bcd1df2446408b0d54","rotates_at":null,"url":"https://pith.science/pith-signing-key.json","notes":"Pith uses this Ed25519 key to sign canonical record SHA-256 digests. Verify with: ed25519_verify(public_key, message=canonical_sha256_bytes, signature=base64decode(signature_b64))."}],"merge_version":"pith-open-graph-merge-v1","built_at":"2026-05-27T02:19:18Z","links":{"resolver":"https://pith.science/pith/VASC5TRIUFAML4YLTVRJOYTZWL","bundle":"https://pith.science/pith/VASC5TRIUFAML4YLTVRJOYTZWL/bundle.json","state":"https://pith.science/pith/VASC5TRIUFAML4YLTVRJOYTZWL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VASC5TRIUFAML4YLTVRJOYTZWL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:VASC5TRIUFAML4YLTVRJOYTZWL","merge_version":"pith-open-graph-merge-v1","event_count":2,"valid_event_count":2,"invalid_event_count":0,"equivocation_count":0,"current":{"canonical_record":{"metadata":{"abstract_canon_sha256":"40d82b5368e9e9d319e5220e4ff85e57df1823532c3e396d1a9cd11a52a63581","cross_cats_sorted":["math.GR"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2026-05-17T15:22:15Z","title_canon_sha256":"28ec32a24b47e1accb5f6240bb6b6e008a1e708be31b61e2376f43778d1285e9"},"schema_version":"1.0","source":{"id":"2605.17501","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.17501","created_at":"2026-05-20T00:04:42Z"},{"alias_kind":"arxiv_version","alias_value":"2605.17501v1","created_at":"2026-05-20T00:04:42Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.17501","created_at":"2026-05-20T00:04:42Z"},{"alias_kind":"pith_short_12","alias_value":"VASC5TRIUFAM","created_at":"2026-05-20T00:04:42Z"},{"alias_kind":"pith_short_16","alias_value":"VASC5TRIUFAML4YL","created_at":"2026-05-20T00:04:42Z"},{"alias_kind":"pith_short_8","alias_value":"VASC5TRI","created_at":"2026-05-20T00:04:42Z"}],"graph_snapshots":[{"event_id":"sha256:ae7bf019671b342e3b39df619da160ed3537b7b8b6d2b13c283d4b6dc4f81c21","target":"graph","created_at":"2026-05-20T00:04:42Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"graph_snapshot":{"author_claims":{"count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","strong_count":0},"builder_version":"pith-number-builder-2026-05-17-v1","claims":{"count":4,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"The weighted trace polynomial already reconstructs every tree from the second moment, except for a single exceptional value of n where the fourth moment suffices."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"The explicit edge-space model for the (n-2,2) component induces an operator whose trace moments are exactly the stated linear combinations of support-forest counts, with no hidden dependencies on the choice of basis or on graph-specific normalizations."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"Defines the (n-2,2) component of the S_n-representation of the graph element X_G, derives its edge-space model and trace moments in terms of support-forest counts, and proves that a weighted trace polynomial reconstructs all trees from the second moment except for one exceptional n."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"A weighted trace polynomial from the (n-2,2) representation reconstructs every tree from its second moment except for one exceptional n."}],"snapshot_sha256":"18058f77a062ba4f9ed70f2452ee97beddc7239608408af2faf704702f8d24e2"},"formal_canon":{"evidence_count":2,"snapshot_sha256":"f96740ccdc5eadcaff08364ea7747fd4359bb236e4cb43a75fa530b95bddd6f1"},"integrity":{"available":true,"clean":true,"detectors_run":[{"findings_count":0,"name":"doi_title_agreement","ran_at":"2026-05-19T23:01:19.522299Z","status":"completed","version":"1.0.0"},{"findings_count":0,"name":"doi_compliance","ran_at":"2026-05-19T22:41:16.933953Z","status":"completed","version":"1.0.0"},{"findings_count":0,"name":"claim_evidence","ran_at":"2026-05-19T21:41:57.666693Z","status":"completed","version":"1.0.0"},{"findings_count":0,"name":"ai_meta_artifact","ran_at":"2026-05-19T21:33:23.636517Z","status":"skipped","version":"1.0.0"}],"endpoint":"/pith/2605.17501/integrity.json","findings":[],"snapshot_sha256":"1a2c0c5e20b1959fedfb4a5e4a852ac950aab1515345761367d648745d8f8e9b","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study a representation-theoretic refinement of the ordinary Laplacian spectrum of a graph. Given a graph $G$ on $n$ vertices, one may associate to it the element \\[ X_G=\\sum_{ij\\in E(G)} (ij)\\in \\C[S_n]. \\] The action of $X_G$ in irreducible representations of $S_n$ produces spectral invariants of graphs. The standard representation $(n-1,1)$ recovers the ordinary graph Laplacian spectrum, up to the elementary affine change $X_G=mI-L_G$, where $m=|E(G)|$. The next component, $(n-2,2)$, gives the first representation-theoretic correction. We give an explicit edge-space model for this compone","authors_text":"Boris Shapiro","cross_cats":["math.GR"],"headline":"A weighted trace polynomial from the (n-2,2) representation reconstructs every tree from its second moment except for one exceptional n.","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2026-05-17T15:22:15Z","title":"The (n-2,2)-Spectrum of a Graph"},"references":{"count":10,"internal_anchors":0,"resolved_work":10,"sample":[{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":1,"title":"Diaconis,Group Representations in Probability and Statistics, Institute of Mathematical Statistics Lecture Notes– Monograph Series, vol","work_id":"0a906be5-84f0-46aa-b259-95cb85992c67","year":1988},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":2,"title":"C. Godsil and G. Royle,Algebraic Graph Theory, Graduate Texts in Mathematics, vol. 207, Springer, New York, 2001","work_id":"fb86b010-e6c5-47ff-ad19-a99725e9f20c","year":2001},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":3,"title":"C. D. Godsil and B. D. McKay,Constructing cospectral graphs, Aequationes Math.25(1982), 257–268","work_id":"74ef949a-06a8-4634-9df5-b9da1f004acd","year":1982},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":4,"title":"W. H. Haemers and E. Spence,Enumeration of cospectral graphs, European J. Combin.25(2004), no. 2, 199–211","work_id":"a96a22aa-8699-4afa-bae4-b1301f538f0c","year":2004},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":5,"title":"B. D. McKay and A. Piperno,Practical graph isomorphism, II, J. Symbolic Comput.60(2014), 94–112","work_id":"f0a14ba3-1f5c-420a-9e8b-435bd07aa780","year":2014}],"snapshot_sha256":"d6f9fdc1597137288b5781a2868e9c07bf42880373d5a4953a861ea4d616ac8c"},"source":{"id":"2605.17501","kind":"arxiv","version":1},"verdict":{"created_at":"2026-05-19T22:36:23.171624Z","id":"6c6b1e13-69c6-4e6d-b13d-c1ee00799300","model_set":{"reader":"grok-4.3"},"one_line_summary":"Defines the (n-2,2) component of the S_n-representation of the graph element X_G, derives its edge-space model and trace moments in terms of support-forest counts, and proves that a weighted trace polynomial reconstructs all trees from the second moment except for one exceptional n.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"A weighted trace polynomial from the (n-2,2) representation reconstructs every tree from its second moment except for one exceptional n.","strongest_claim":"The weighted trace polynomial already reconstructs every tree from the second moment, except for a single exceptional value of n where the fourth moment suffices.","weakest_assumption":"The explicit edge-space model for the (n-2,2) component induces an operator whose trace moments are exactly the stated linear combinations of support-forest counts, with no hidden dependencies on the choice of basis or on graph-specific normalizations."}},"verdict_id":"6c6b1e13-69c6-4e6d-b13d-c1ee00799300"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:6559bc6c17b98fafc35067dc2a8e157573590533bb0c4d449a9c88a51783cb4e","target":"record","created_at":"2026-05-20T00:04:42Z","signer":{"key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signer_id":"pith.science","signer_type":"pith_registry"},"payload":{"attestation_state":"computed","canonical_record":{"metadata":{"abstract_canon_sha256":"40d82b5368e9e9d319e5220e4ff85e57df1823532c3e396d1a9cd11a52a63581","cross_cats_sorted":["math.GR"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.CO","submitted_at":"2026-05-17T15:22:15Z","title_canon_sha256":"28ec32a24b47e1accb5f6240bb6b6e008a1e708be31b61e2376f43778d1285e9"},"schema_version":"1.0","source":{"id":"2605.17501","kind":"arxiv","version":1}},"canonical_sha256":"a8242ece28a140c5f30b9d62976279b2fc294d532d92b108d9a042be57b99fc6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a8242ece28a140c5f30b9d62976279b2fc294d532d92b108d9a042be57b99fc6","first_computed_at":"2026-05-20T00:04:42.470854Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:04:42.470854Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YX8XC2a1u7edtNWTDZ2n7QJxXlNVeF4RTn5FtVGwCovAbikkHyLT1hjGaP80yyGstXJAVt1KQnYm8+vNhqTBCw==","signature_status":"signed_v1","signed_at":"2026-05-20T00:04:42.471475Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.17501","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6559bc6c17b98fafc35067dc2a8e157573590533bb0c4d449a9c88a51783cb4e","sha256:ae7bf019671b342e3b39df619da160ed3537b7b8b6d2b13c283d4b6dc4f81c21"],"state_sha256":"30f0d04f7770811d9b3f333af4a1e9915ec319a50ba81947157efcdb11541c49"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gFNNVnw/O77e8i+HOBVN7TWjcVo6jOydanP6OD/MnRJIzxGkAARLjLQfdpLXxW2d1vI30TUzIDgF3SUveYfmAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T02:19:18.883451Z","bundle_sha256":"c389f7f6b7ec49cb9a2efbfc81a33ef70e8dee1b015519eaaa32f7bd711333e5"}}