{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:WHGUBREODXLU5BOUGEMTKKKAUF","short_pith_number":"pith:WHGUBREO","canonical_record":{"source":{"id":"2507.17503","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.LO","submitted_at":"2025-07-23T13:38:59Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"d48cc478b5e3b0d90ac8cb4354b2292e7a0f727de39864c3e3880881db50c0cc","abstract_canon_sha256":"8595cd505f199e789e7051ed1d8c174fff4750113cff06624194b9abbd4a5779"},"schema_version":"1.0"},"canonical_sha256":"b1cd40c48e1dd74e85d43119352940a141015375902f1273bce03396b9ef8b9e","source":{"kind":"arxiv","id":"2507.17503","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.17503","created_at":"2026-06-24T14:15:51Z"},{"alias_kind":"arxiv_version","alias_value":"2507.17503v2","created_at":"2026-06-24T14:15:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.17503","created_at":"2026-06-24T14:15:51Z"},{"alias_kind":"pith_short_12","alias_value":"WHGUBREODXLU","created_at":"2026-06-24T14:15:51Z"},{"alias_kind":"pith_short_16","alias_value":"WHGUBREODXLU5BOU","created_at":"2026-06-24T14:15:51Z"},{"alias_kind":"pith_short_8","alias_value":"WHGUBREO","created_at":"2026-06-24T14:15:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:WHGUBREODXLU5BOUGEMTKKKAUF","target":"record","payload":{"canonical_record":{"source":{"id":"2507.17503","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.LO","submitted_at":"2025-07-23T13:38:59Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"d48cc478b5e3b0d90ac8cb4354b2292e7a0f727de39864c3e3880881db50c0cc","abstract_canon_sha256":"8595cd505f199e789e7051ed1d8c174fff4750113cff06624194b9abbd4a5779"},"schema_version":"1.0"},"canonical_sha256":"b1cd40c48e1dd74e85d43119352940a141015375902f1273bce03396b9ef8b9e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-24T14:15:51.848078Z","signature_b64":"G9qE+LrW5YUhdy2HAIM3XljqOzkZM5l/6igwRtBoVaJHO51kkLHnWmqcqRmRGVDclAR3LcX9mc6PFwhNCJpCAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b1cd40c48e1dd74e85d43119352940a141015375902f1273bce03396b9ef8b9e","last_reissued_at":"2026-06-24T14:15:51.847609Z","signature_status":"signed_v1","first_computed_at":"2026-06-24T14:15:51.847609Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.17503","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-24T14:15:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dGXNqILi11S3EPkJWBdr3y1wZ+icRt/gqL9emFpRRLc9Dfei/QPshv52P9yojs2wsi61apUVKqtXhpfvG8DCBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T09:14:40.496206Z"},"content_sha256":"7b759d78c3ad2b83d85ad0186acbedcbe539ebdd5db77be3a891385201c6a57c","schema_version":"1.0","event_id":"sha256:7b759d78c3ad2b83d85ad0186acbedcbe539ebdd5db77be3a891385201c6a57c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:WHGUBREODXLU5BOUGEMTKKKAUF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Some questions on entangled linear orders","license":"http://creativecommons.org/licenses/by/4.0/","headline":"Under the continuum hypothesis there exist n-entangled linear orders that are not n+1-entangled for every n.","cross_cats":["math.CO"],"primary_cat":"math.LO","authors_text":"Lorenzo Notaro, Maxwell Levine, Rapha\\\"el Carroy","submitted_at":"2025-07-23T13:38:59Z","abstract_excerpt":"Entangled linear orders were first introduced by Abraham and Shelah. Todor\\v{c}evi\\'c showed that these linear orders exist under $\\mathsf{CH}$. We prove the following results: (1) If $\\mathsf{CH}$ holds, then, for every $n > 0$, there is an $n$-entangled linear order which is not $(n+1)$-entangled. (2) If $\\mathsf{CH}$ holds, then there are two homeomorphic sets of reals $A, B \\subseteq \\mathbb{R}$ such that $A$ is entangled but $B$ is not $2$-entangled. (3) If $\\mathbb{R}\\subseteq \\mathrm{L}$, then there is an entangled $\\Pi_1^1$ set of reals. (4) If $\\diamondsuit$ holds, then there is a $2$"},"claims":{"count":4,"items":[{"kind":"strongest_claim","text":"If CH holds, then for every n > 0 there is an n-entangled linear order which is not (n+1)-entangled; similar conditional existence statements hold for homeomorphic reals with differing entanglement, an entangled Pi1^1 set under V=L, and a 2-entangled non-separable order under diamond.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The background definitions of n-entangled linear order and of the relevant descriptive-set-theoretic complexity classes (Pi1^1) as introduced by Abraham-Shelah and used in the constructions, together with the assumption that the ambient universe satisfies the stated extra axioms (CH, V=L, diamond).","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"Under CH the authors construct n-entangled linear orders that fail to be (n+1)-entangled, plus homeomorphic reals with differing entanglement, an entangled Pi1^1 set under V=L, and a 2-entangled non-separable order under diamond.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"},{"kind":"headline","text":"Under the continuum hypothesis there exist n-entangled linear orders that are not n+1-entangled for every n.","source":"verdict.pith_extraction.headline","status":"machine_extracted","claim_id":"C4","attestation":"unclaimed"}],"snapshot_sha256":"633f66cbb192716428c045997f2b3c6e7f3f171e44c365f50f268c23b5c66c40"},"source":{"id":"2507.17503","kind":"arxiv","version":2},"verdict":{"id":"35d5d630-64a7-44c7-9a8f-d8f439b65b09","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-19T03:37:14.892048Z","strongest_claim":"If CH holds, then for every n > 0 there is an n-entangled linear order which is not (n+1)-entangled; similar conditional existence statements hold for homeomorphic reals with differing entanglement, an entangled Pi1^1 set under V=L, and a 2-entangled non-separable order under diamond.","one_line_summary":"Under CH the authors construct n-entangled linear orders that fail to be (n+1)-entangled, plus homeomorphic reals with differing entanglement, an entangled Pi1^1 set under V=L, and a 2-entangled non-separable order under diamond.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The background definitions of n-entangled linear order and of the relevant descriptive-set-theoretic complexity classes (Pi1^1) as introduced by Abraham-Shelah and used in the constructions, together with the assumption that the ambient universe satisfies the stated extra axioms (CH, V=L, diamond).","pith_extraction_headline":"Under the continuum hypothesis there exist n-entangled linear orders that are not n+1-entangled for every n."},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2507.17503/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":9,"sample":[{"doi":"","year":1985,"title":"On the consistency of some partition theorems for continuous colorings, and the structure of ℵ1-dense real order types","work_id":"ea34974d-f0c3-44e0-b8e7-3ce62b6f75be","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1973,"title":"All ℵ1-dense sets of reals can be isomorphic","work_id":"00ccda73-f333-4bea-adea-9604989c9769","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1940,"title":"Concerning similarity transformations of linearly ordered sets","work_id":"8584a407-ec4b-45b4-a931-fce69c475fc6","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1955,"title":"Order types and similarity transforma- tions","work_id":"d526ce59-3277-4f15-b8ac-b19952d47aa4","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2020,"title":"Entangledness in Suslin lines and trees","work_id":"04be892b-ffd8-4c73-9e81-8a0398363167","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":9,"snapshot_sha256":"9c41a28054d3f53ec7c414a019a7c578aead42ebe3e4ddfeb1acb5e09c9448cf","internal_anchors":0},"formal_canon":{"evidence_count":2,"snapshot_sha256":"ed4dd47a54823fdf28d4cbb4ca014ca430a059ccfcd6320c053f21fc2d947a02"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":"35d5d630-64a7-44c7-9a8f-d8f439b65b09"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-06-24T14:15:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0JqyjbtskABalSYGJ3zg6MdDKmeFmRIHDC/kpw1TiSYj18sFFyXiJmkC5oIi3cOGLDSkuP9DFJ1ghGdIHChDDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T09:14:40.497519Z"},"content_sha256":"bc577a59275df7aa25a2c948636c8fc0c2a1a597b6abd4e5b561e8ad425a1889","schema_version":"1.0","event_id":"sha256:bc577a59275df7aa25a2c948636c8fc0c2a1a597b6abd4e5b561e8ad425a1889"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WHGUBREODXLU5BOUGEMTKKKAUF/bundle.json","state_url":"https://pith.science/pith/WHGUBREODXLU5BOUGEMTKKKAUF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WHGUBREODXLU5BOUGEMTKKKAUF/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":"2026-08-04T09:14:40Z","links":{"resolver":"https://pith.science/pith/WHGUBREODXLU5BOUGEMTKKKAUF","bundle":"https://pith.science/pith/WHGUBREODXLU5BOUGEMTKKKAUF/bundle.json","state":"https://pith.science/pith/WHGUBREODXLU5BOUGEMTKKKAUF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WHGUBREODXLU5BOUGEMTKKKAUF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:WHGUBREODXLU5BOUGEMTKKKAUF","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":"8595cd505f199e789e7051ed1d8c174fff4750113cff06624194b9abbd4a5779","cross_cats_sorted":["math.CO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.LO","submitted_at":"2025-07-23T13:38:59Z","title_canon_sha256":"d48cc478b5e3b0d90ac8cb4354b2292e7a0f727de39864c3e3880881db50c0cc"},"schema_version":"1.0","source":{"id":"2507.17503","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.17503","created_at":"2026-06-24T14:15:51Z"},{"alias_kind":"arxiv_version","alias_value":"2507.17503v2","created_at":"2026-06-24T14:15:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.17503","created_at":"2026-06-24T14:15:51Z"},{"alias_kind":"pith_short_12","alias_value":"WHGUBREODXLU","created_at":"2026-06-24T14:15:51Z"},{"alias_kind":"pith_short_16","alias_value":"WHGUBREODXLU5BOU","created_at":"2026-06-24T14:15:51Z"},{"alias_kind":"pith_short_8","alias_value":"WHGUBREO","created_at":"2026-06-24T14:15:51Z"}],"graph_snapshots":[{"event_id":"sha256:bc577a59275df7aa25a2c948636c8fc0c2a1a597b6abd4e5b561e8ad425a1889","target":"graph","created_at":"2026-06-24T14:15:51Z","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":"If CH holds, then for every n > 0 there is an n-entangled linear order which is not (n+1)-entangled; similar conditional existence statements hold for homeomorphic reals with differing entanglement, an entangled Pi1^1 set under V=L, and a 2-entangled non-separable order under diamond."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"The background definitions of n-entangled linear order and of the relevant descriptive-set-theoretic complexity classes (Pi1^1) as introduced by Abraham-Shelah and used in the constructions, together with the assumption that the ambient universe satisfies the stated extra axioms (CH, V=L, diamond)."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"Under CH the authors construct n-entangled linear orders that fail to be (n+1)-entangled, plus homeomorphic reals with differing entanglement, an entangled Pi1^1 set under V=L, and a 2-entangled non-separable order under diamond."},{"attestation":"unclaimed","claim_id":"C4","kind":"headline","source":"verdict.pith_extraction.headline","status":"machine_extracted","text":"Under the continuum hypothesis there exist n-entangled linear orders that are not n+1-entangled for every n."}],"snapshot_sha256":"633f66cbb192716428c045997f2b3c6e7f3f171e44c365f50f268c23b5c66c40"},"formal_canon":{"evidence_count":2,"snapshot_sha256":"ed4dd47a54823fdf28d4cbb4ca014ca430a059ccfcd6320c053f21fc2d947a02"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2507.17503/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Entangled linear orders were first introduced by Abraham and Shelah. Todor\\v{c}evi\\'c showed that these linear orders exist under $\\mathsf{CH}$. We prove the following results: (1) If $\\mathsf{CH}$ holds, then, for every $n > 0$, there is an $n$-entangled linear order which is not $(n+1)$-entangled. (2) If $\\mathsf{CH}$ holds, then there are two homeomorphic sets of reals $A, B \\subseteq \\mathbb{R}$ such that $A$ is entangled but $B$ is not $2$-entangled. (3) If $\\mathbb{R}\\subseteq \\mathrm{L}$, then there is an entangled $\\Pi_1^1$ set of reals. (4) If $\\diamondsuit$ holds, then there is a $2$","authors_text":"Lorenzo Notaro, Maxwell Levine, Rapha\\\"el Carroy","cross_cats":["math.CO"],"headline":"Under the continuum hypothesis there exist n-entangled linear orders that are not n+1-entangled for every n.","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.LO","submitted_at":"2025-07-23T13:38:59Z","title":"Some questions on entangled linear orders"},"references":{"count":9,"internal_anchors":0,"resolved_work":9,"sample":[{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":1,"title":"On the consistency of some partition theorems for continuous colorings, and the structure of ℵ1-dense real order types","work_id":"ea34974d-f0c3-44e0-b8e7-3ce62b6f75be","year":1985},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":2,"title":"All ℵ1-dense sets of reals can be isomorphic","work_id":"00ccda73-f333-4bea-adea-9604989c9769","year":1973},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":3,"title":"Concerning similarity transformations of linearly ordered sets","work_id":"8584a407-ec4b-45b4-a931-fce69c475fc6","year":1940},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":4,"title":"Order types and similarity transforma- tions","work_id":"d526ce59-3277-4f15-b8ac-b19952d47aa4","year":1955},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":5,"title":"Entangledness in Suslin lines and trees","work_id":"04be892b-ffd8-4c73-9e81-8a0398363167","year":2020}],"snapshot_sha256":"9c41a28054d3f53ec7c414a019a7c578aead42ebe3e4ddfeb1acb5e09c9448cf"},"source":{"id":"2507.17503","kind":"arxiv","version":2},"verdict":{"created_at":"2026-05-19T03:37:14.892048Z","id":"35d5d630-64a7-44c7-9a8f-d8f439b65b09","model_set":{"reader":"grok-4.3"},"one_line_summary":"Under CH the authors construct n-entangled linear orders that fail to be (n+1)-entangled, plus homeomorphic reals with differing entanglement, an entangled Pi1^1 set under V=L, and a 2-entangled non-separable order under diamond.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"Under the continuum hypothesis there exist n-entangled linear orders that are not n+1-entangled for every n.","strongest_claim":"If CH holds, then for every n > 0 there is an n-entangled linear order which is not (n+1)-entangled; similar conditional existence statements hold for homeomorphic reals with differing entanglement, an entangled Pi1^1 set under V=L, and a 2-entangled non-separable order under diamond.","weakest_assumption":"The background definitions of n-entangled linear order and of the relevant descriptive-set-theoretic complexity classes (Pi1^1) as introduced by Abraham-Shelah and used in the constructions, together with the assumption that the ambient universe satisfies the stated extra axioms (CH, V=L, diamond)."}},"verdict_id":"35d5d630-64a7-44c7-9a8f-d8f439b65b09"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:7b759d78c3ad2b83d85ad0186acbedcbe539ebdd5db77be3a891385201c6a57c","target":"record","created_at":"2026-06-24T14:15:51Z","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":"8595cd505f199e789e7051ed1d8c174fff4750113cff06624194b9abbd4a5779","cross_cats_sorted":["math.CO"],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"math.LO","submitted_at":"2025-07-23T13:38:59Z","title_canon_sha256":"d48cc478b5e3b0d90ac8cb4354b2292e7a0f727de39864c3e3880881db50c0cc"},"schema_version":"1.0","source":{"id":"2507.17503","kind":"arxiv","version":2}},"canonical_sha256":"b1cd40c48e1dd74e85d43119352940a141015375902f1273bce03396b9ef8b9e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b1cd40c48e1dd74e85d43119352940a141015375902f1273bce03396b9ef8b9e","first_computed_at":"2026-06-24T14:15:51.847609Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-24T14:15:51.847609Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"G9qE+LrW5YUhdy2HAIM3XljqOzkZM5l/6igwRtBoVaJHO51kkLHnWmqcqRmRGVDclAR3LcX9mc6PFwhNCJpCAQ==","signature_status":"signed_v1","signed_at":"2026-06-24T14:15:51.848078Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.17503","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7b759d78c3ad2b83d85ad0186acbedcbe539ebdd5db77be3a891385201c6a57c","sha256:bc577a59275df7aa25a2c948636c8fc0c2a1a597b6abd4e5b561e8ad425a1889"],"state_sha256":"d5a36c58d7b33186381c955be1715c6e16c0d8fc7a4e4c7bc43c952bb8ff8530"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xPC+I8dvBB/AP4fBBAEcHKcSfkPZwM5FjwKVeZvB2Jdg38rwbrmcNqK6aiVuJdC2Dmeq1zmjyjkQAgC4W0thBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T09:14:40.502845Z","bundle_sha256":"3384be1a4e708f995adb9538f707ffcbe5f5e3edb25f6d3e939261a335c979eb"}}