{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:LK7RA6O3ENATBZXQVHZCKHXALS","short_pith_number":"pith:LK7RA6O3","canonical_record":{"source":{"id":"2605.13410","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2026-05-13T12:05:38Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"0635a6fead9326aa63378a198c37843be4fbe549f122c477ce506ab03ec36770","abstract_canon_sha256":"8de9022ad4a7a3b6e2543d68cb1aa3f0c965c63578da324664acd3bcfc6308f1"},"schema_version":"1.0"},"canonical_sha256":"5abf1079db234130e6f0a9f2251ee05ca192455436c088c7c3e63a5a74af2d32","source":{"kind":"arxiv","id":"2605.13410","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.13410","created_at":"2026-05-18T02:44:47Z"},{"alias_kind":"arxiv_version","alias_value":"2605.13410v1","created_at":"2026-05-18T02:44:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.13410","created_at":"2026-05-18T02:44:47Z"},{"alias_kind":"pith_short_12","alias_value":"LK7RA6O3ENAT","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"LK7RA6O3ENATBZXQ","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"LK7RA6O3","created_at":"2026-05-18T12:33:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:LK7RA6O3ENATBZXQVHZCKHXALS","target":"record","payload":{"canonical_record":{"source":{"id":"2605.13410","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2026-05-13T12:05:38Z","cross_cats_sorted":["math.AG"],"title_canon_sha256":"0635a6fead9326aa63378a198c37843be4fbe549f122c477ce506ab03ec36770","abstract_canon_sha256":"8de9022ad4a7a3b6e2543d68cb1aa3f0c965c63578da324664acd3bcfc6308f1"},"schema_version":"1.0"},"canonical_sha256":"5abf1079db234130e6f0a9f2251ee05ca192455436c088c7c3e63a5a74af2d32","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:44:47.459180Z","signature_b64":"2F/8mN0YhzSbfo1DfSoK5rDpFPL1gADD3PfNYr6sPaXnQL7L2qRPrqMfb+1abJlEGvKcOzW1kqwxzhohRYMBBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5abf1079db234130e6f0a9f2251ee05ca192455436c088c7c3e63a5a74af2d32","last_reissued_at":"2026-05-18T02:44:47.458626Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:44:47.458626Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2605.13410","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":"2026-05-18T02:44:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QY7tuPEh4HrEhRGpRntEZ4zmgNMeHIFZBAuXLpbrAkW5xUf3bP1OkeTfG1A38j/i86Y6O9Q+oxsn4FJY91J3BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:06:19.397510Z"},"content_sha256":"daddc919e2144a511fcead1be27664e1f963d016874ce173a5c7d813a64d259c","schema_version":"1.0","event_id":"sha256:daddc919e2144a511fcead1be27664e1f963d016874ce173a5c7d813a64d259c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:LK7RA6O3ENATBZXQVHZCKHXALS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Semi-interlaced polytopes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"A combinatorial formula is proven for the mixed volume of semi-interlaced polytopes, including those arising in algebraic degree computations via Kouchnirenko-Bernshtein theory.","cross_cats":["math.AG"],"primary_cat":"math.CO","authors_text":"Fedor Selyanin","submitted_at":"2026-05-13T12:05:38Z","abstract_excerpt":"The Minkowski mixed volume of $n$ subpolytopes $D_1, \\dots, D_n$ of a polytope $P \\subset {\\mathbb R}^n$ clearly does not exceed the normalized volume $n! \\text{Vol}(P)$. Equality holds if and only if the subpolytopes are interlaced, i.e., each proper face $F \\subsetneq P$ intersects at least $\\dim(F) + 1$ of the polytopes $D_i$. Efficiently computing mixed volumes for more general collections of subpolytopes is crucial for estimating the complexity of numerically solving polynomial systems.\n  Motivated by relaxing the bound $\\dim(F) + 1$ to $\\dim(F)$, we prove a combinatorial formula for the "},"claims":{"count":3,"items":[{"kind":"strongest_claim","text":"We prove a combinatorial formula for the mixed volume of a broad class of semi-interlaced polytopes. This class includes, in particular, the off-coordinate polytopes used in computing algebraic degrees -- such as Maximum Likelihood, Euclidean Distance, and Polar degrees -- via the Kouchnirenko--Bernshtein theory.","source":"verdict.strongest_claim","status":"machine_extracted","claim_id":"C1","attestation":"unclaimed"},{"kind":"weakest_assumption","text":"The subpolytopes satisfy the semi-interlaced intersection condition that each proper face F intersects at least dim(F) of the polytopes D_i (rather than the stricter dim(F)+1 required for full interlacing).","source":"verdict.weakest_assumption","status":"machine_extracted","claim_id":"C2","attestation":"unclaimed"},{"kind":"one_line_summary","text":"A combinatorial formula is proven for the mixed volume of semi-interlaced polytopes, including those arising in algebraic degree computations via Kouchnirenko-Bernshtein theory.","source":"verdict.one_line_summary","status":"machine_extracted","claim_id":"C3","attestation":"unclaimed"}],"snapshot_sha256":"bc0724c3ec9fd77970dc89cdc4c7b1c42058a20f6b54141bbed7f19c617fd1f2"},"source":{"id":"2605.13410","kind":"arxiv","version":1},"verdict":{"id":"b8364e31-ba15-4b4e-b478-a0e8929ae9cf","model_set":{"reader":"grok-4.3"},"created_at":"2026-05-14T18:13:29.770104Z","strongest_claim":"We prove a combinatorial formula for the mixed volume of a broad class of semi-interlaced polytopes. This class includes, in particular, the off-coordinate polytopes used in computing algebraic degrees -- such as Maximum Likelihood, Euclidean Distance, and Polar degrees -- via the Kouchnirenko--Bernshtein theory.","one_line_summary":"A combinatorial formula is proven for the mixed volume of semi-interlaced polytopes, including those arising in algebraic degree computations via Kouchnirenko-Bernshtein theory.","pipeline_version":"pith-pipeline@v0.9.0","weakest_assumption":"The subpolytopes satisfy the semi-interlaced intersection condition that each proper face F intersects at least dim(F) of the polytopes D_i (rather than the stricter dim(F)+1 required for full interlacing).","pith_extraction_headline":""},"references":{"count":47,"sample":[{"doi":"","year":2000,"title":"B. Beler, A. Enge, K. Fukuda, Exact Volume Computation for Polytopes: A Practical Study. In: G. Kalai, G.M. Ziegler (eds.) Polytopes Combinatorics and Computation, no. 29 in DMV Seminar, pp. 131–154. ","work_id":"5853d1bf-abcc-4ebd-82fd-798ac251e50a","ref_index":1,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2004,"title":"Arnold, Arnold’s problems, Springer-Verlag, Berlin; PHASIS, Moscow (2004)","work_id":"d0c8a148-fe02-4457-ab6f-2cd01b0d9608","ref_index":2,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":1975,"title":"Bernshtein, The number of roots of a system of equations, Functional Analysis and Its Applications, 9:3 (1975), 183–185","work_id":"04056d0f-ff33-4393-a493-00f9bc42f288","ref_index":3,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"10.1007/978-3-031-51462-3","year":2024,"title":"P. Breiding, K. Kohn, B. Sturmfels, Metric Algebraic Geometry, Oberwolfach Seminars (OWS, volume 53), 2024, link.springer.com/book/10.1007/978-3-031-51462-3 https://link.springer.com/book/10.1007/978-","work_id":"fdee40f0-3517-4497-b043-0d905598e4e5","ref_index":4,"cited_arxiv_id":"","is_internal_anchor":false},{"doi":"","year":2023,"title":"C. Borger, A. Kretschmer, B. Nill, Thin polytopes: Lattice polytopes with vanishing local h^* -polynomial, Int. Math. Res. Not. IMRN (2023). arXiv:2207.09323 https://arxiv.org/abs/2207.09323","work_id":"160ae66f-0af5-465f-b50f-d0fd14288514","ref_index":5,"cited_arxiv_id":"","is_internal_anchor":false}],"resolved_work":47,"snapshot_sha256":"27d99f6feba8b443ca949130e79ed0732ea28dc0f6bce436a97d30600153aef5","internal_anchors":9},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"verdict_id":"b8364e31-ba15-4b4e-b478-a0e8929ae9cf"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:44:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1V8mDNxff4VY+RL+j8ont+MuTLDyMLKVchUNFZtNknQdAoTTAVGT63HWxtrQP6+cKE/aPeoPkwUiZMLig0kpCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T22:06:19.398734Z"},"content_sha256":"d425136eb26d42e253e9d231681e577075790ce29ace63a341806d804b7b56da","schema_version":"1.0","event_id":"sha256:d425136eb26d42e253e9d231681e577075790ce29ace63a341806d804b7b56da"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LK7RA6O3ENATBZXQVHZCKHXALS/bundle.json","state_url":"https://pith.science/pith/LK7RA6O3ENATBZXQVHZCKHXALS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LK7RA6O3ENATBZXQVHZCKHXALS/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":"2026-05-25T22:06:19Z","links":{"resolver":"https://pith.science/pith/LK7RA6O3ENATBZXQVHZCKHXALS","bundle":"https://pith.science/pith/LK7RA6O3ENATBZXQVHZCKHXALS/bundle.json","state":"https://pith.science/pith/LK7RA6O3ENATBZXQVHZCKHXALS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LK7RA6O3ENATBZXQVHZCKHXALS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:LK7RA6O3ENATBZXQVHZCKHXALS","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":"8de9022ad4a7a3b6e2543d68cb1aa3f0c965c63578da324664acd3bcfc6308f1","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2026-05-13T12:05:38Z","title_canon_sha256":"0635a6fead9326aa63378a198c37843be4fbe549f122c477ce506ab03ec36770"},"schema_version":"1.0","source":{"id":"2605.13410","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2605.13410","created_at":"2026-05-18T02:44:47Z"},{"alias_kind":"arxiv_version","alias_value":"2605.13410v1","created_at":"2026-05-18T02:44:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2605.13410","created_at":"2026-05-18T02:44:47Z"},{"alias_kind":"pith_short_12","alias_value":"LK7RA6O3ENAT","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_16","alias_value":"LK7RA6O3ENATBZXQ","created_at":"2026-05-18T12:33:37Z"},{"alias_kind":"pith_short_8","alias_value":"LK7RA6O3","created_at":"2026-05-18T12:33:37Z"}],"graph_snapshots":[{"event_id":"sha256:d425136eb26d42e253e9d231681e577075790ce29ace63a341806d804b7b56da","target":"graph","created_at":"2026-05-18T02:44:47Z","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":3,"items":[{"attestation":"unclaimed","claim_id":"C1","kind":"strongest_claim","source":"verdict.strongest_claim","status":"machine_extracted","text":"We prove a combinatorial formula for the mixed volume of a broad class of semi-interlaced polytopes. This class includes, in particular, the off-coordinate polytopes used in computing algebraic degrees -- such as Maximum Likelihood, Euclidean Distance, and Polar degrees -- via the Kouchnirenko--Bernshtein theory."},{"attestation":"unclaimed","claim_id":"C2","kind":"weakest_assumption","source":"verdict.weakest_assumption","status":"machine_extracted","text":"The subpolytopes satisfy the semi-interlaced intersection condition that each proper face F intersects at least dim(F) of the polytopes D_i (rather than the stricter dim(F)+1 required for full interlacing)."},{"attestation":"unclaimed","claim_id":"C3","kind":"one_line_summary","source":"verdict.one_line_summary","status":"machine_extracted","text":"A combinatorial formula is proven for the mixed volume of semi-interlaced polytopes, including those arising in algebraic degree computations via Kouchnirenko-Bernshtein theory."}],"snapshot_sha256":"bc0724c3ec9fd77970dc89cdc4c7b1c42058a20f6b54141bbed7f19c617fd1f2"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The Minkowski mixed volume of $n$ subpolytopes $D_1, \\dots, D_n$ of a polytope $P \\subset {\\mathbb R}^n$ clearly does not exceed the normalized volume $n! \\text{Vol}(P)$. Equality holds if and only if the subpolytopes are interlaced, i.e., each proper face $F \\subsetneq P$ intersects at least $\\dim(F) + 1$ of the polytopes $D_i$. Efficiently computing mixed volumes for more general collections of subpolytopes is crucial for estimating the complexity of numerically solving polynomial systems.\n  Motivated by relaxing the bound $\\dim(F) + 1$ to $\\dim(F)$, we prove a combinatorial formula for the ","authors_text":"Fedor Selyanin","cross_cats":["math.AG"],"headline":"A combinatorial formula is proven for the mixed volume of semi-interlaced polytopes, including those arising in algebraic degree computations via Kouchnirenko-Bernshtein theory.","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2026-05-13T12:05:38Z","title":"Semi-interlaced polytopes"},"references":{"count":47,"internal_anchors":9,"resolved_work":47,"sample":[{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":1,"title":"B. Beler, A. Enge, K. Fukuda, Exact Volume Computation for Polytopes: A Practical Study. In: G. Kalai, G.M. Ziegler (eds.) Polytopes Combinatorics and Computation, no. 29 in DMV Seminar, pp. 131–154. ","work_id":"5853d1bf-abcc-4ebd-82fd-798ac251e50a","year":2000},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":2,"title":"Arnold, Arnold’s problems, Springer-Verlag, Berlin; PHASIS, Moscow (2004)","work_id":"d0c8a148-fe02-4457-ab6f-2cd01b0d9608","year":2004},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":3,"title":"Bernshtein, The number of roots of a system of equations, Functional Analysis and Its Applications, 9:3 (1975), 183–185","work_id":"04056d0f-ff33-4393-a493-00f9bc42f288","year":1975},{"cited_arxiv_id":"","doi":"10.1007/978-3-031-51462-3","is_internal_anchor":false,"ref_index":4,"title":"P. Breiding, K. Kohn, B. Sturmfels, Metric Algebraic Geometry, Oberwolfach Seminars (OWS, volume 53), 2024, link.springer.com/book/10.1007/978-3-031-51462-3 https://link.springer.com/book/10.1007/978-","work_id":"fdee40f0-3517-4497-b043-0d905598e4e5","year":2024},{"cited_arxiv_id":"","doi":"","is_internal_anchor":false,"ref_index":5,"title":"C. Borger, A. Kretschmer, B. Nill, Thin polytopes: Lattice polytopes with vanishing local h^* -polynomial, Int. Math. Res. Not. IMRN (2023). arXiv:2207.09323 https://arxiv.org/abs/2207.09323","work_id":"160ae66f-0af5-465f-b50f-d0fd14288514","year":2023}],"snapshot_sha256":"27d99f6feba8b443ca949130e79ed0732ea28dc0f6bce436a97d30600153aef5"},"source":{"id":"2605.13410","kind":"arxiv","version":1},"verdict":{"created_at":"2026-05-14T18:13:29.770104Z","id":"b8364e31-ba15-4b4e-b478-a0e8929ae9cf","model_set":{"reader":"grok-4.3"},"one_line_summary":"A combinatorial formula is proven for the mixed volume of semi-interlaced polytopes, including those arising in algebraic degree computations via Kouchnirenko-Bernshtein theory.","pipeline_version":"pith-pipeline@v0.9.0","pith_extraction_headline":"","strongest_claim":"We prove a combinatorial formula for the mixed volume of a broad class of semi-interlaced polytopes. This class includes, in particular, the off-coordinate polytopes used in computing algebraic degrees -- such as Maximum Likelihood, Euclidean Distance, and Polar degrees -- via the Kouchnirenko--Bernshtein theory.","weakest_assumption":"The subpolytopes satisfy the semi-interlaced intersection condition that each proper face F intersects at least dim(F) of the polytopes D_i (rather than the stricter dim(F)+1 required for full interlacing)."}},"verdict_id":"b8364e31-ba15-4b4e-b478-a0e8929ae9cf"}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:daddc919e2144a511fcead1be27664e1f963d016874ce173a5c7d813a64d259c","target":"record","created_at":"2026-05-18T02:44:47Z","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":"8de9022ad4a7a3b6e2543d68cb1aa3f0c965c63578da324664acd3bcfc6308f1","cross_cats_sorted":["math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2026-05-13T12:05:38Z","title_canon_sha256":"0635a6fead9326aa63378a198c37843be4fbe549f122c477ce506ab03ec36770"},"schema_version":"1.0","source":{"id":"2605.13410","kind":"arxiv","version":1}},"canonical_sha256":"5abf1079db234130e6f0a9f2251ee05ca192455436c088c7c3e63a5a74af2d32","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5abf1079db234130e6f0a9f2251ee05ca192455436c088c7c3e63a5a74af2d32","first_computed_at":"2026-05-18T02:44:47.458626Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:44:47.458626Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2F/8mN0YhzSbfo1DfSoK5rDpFPL1gADD3PfNYr6sPaXnQL7L2qRPrqMfb+1abJlEGvKcOzW1kqwxzhohRYMBBA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:44:47.459180Z","signed_message":"canonical_sha256_bytes"},"source_id":"2605.13410","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:daddc919e2144a511fcead1be27664e1f963d016874ce173a5c7d813a64d259c","sha256:d425136eb26d42e253e9d231681e577075790ce29ace63a341806d804b7b56da"],"state_sha256":"cd53be470b53ee6df94c3cc965d1accb28690b2cc829765e3a20074b944aab6e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d7Utnqh8f1VvF470lr7QDZHWV5L8cOqLHIESrycxmzTarPpQZaZgUrRedAx89KiLXKmujskLzTC592PFhfxvAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T22:06:19.403840Z","bundle_sha256":"1872aae5538c45811cb5c72f7b4d40fe587f4c1db68bb28f55a534fc45daaa71"}}