{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:W5IRCR4IHL4YDX7CB4WZ4KPSSM","short_pith_number":"pith:W5IRCR4I","canonical_record":{"source":{"id":"1411.1647","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-11-06T16:05:07Z","cross_cats_sorted":[],"title_canon_sha256":"19e0a5939e3dc9f330c464ab60a9ade75e0dec2621b146f99e5d5757d8206467","abstract_canon_sha256":"35df0783ddeab83eb4c794b2dbec44cd7cf555a1a6ebcdcc5ea43d55927127ed"},"schema_version":"1.0"},"canonical_sha256":"b7511147883af981dfe20f2d9e29f293244b18969f62b821ee701088a90223c1","source":{"kind":"arxiv","id":"1411.1647","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.1647","created_at":"2026-05-18T00:27:22Z"},{"alias_kind":"arxiv_version","alias_value":"1411.1647v4","created_at":"2026-05-18T00:27:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.1647","created_at":"2026-05-18T00:27:22Z"},{"alias_kind":"pith_short_12","alias_value":"W5IRCR4IHL4Y","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"W5IRCR4IHL4YDX7C","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"W5IRCR4I","created_at":"2026-05-18T12:28:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:W5IRCR4IHL4YDX7CB4WZ4KPSSM","target":"record","payload":{"canonical_record":{"source":{"id":"1411.1647","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-11-06T16:05:07Z","cross_cats_sorted":[],"title_canon_sha256":"19e0a5939e3dc9f330c464ab60a9ade75e0dec2621b146f99e5d5757d8206467","abstract_canon_sha256":"35df0783ddeab83eb4c794b2dbec44cd7cf555a1a6ebcdcc5ea43d55927127ed"},"schema_version":"1.0"},"canonical_sha256":"b7511147883af981dfe20f2d9e29f293244b18969f62b821ee701088a90223c1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:27:22.702523Z","signature_b64":"+8BGtsgOy7e6UuYZAaDQZM+TWupNguIuVQjUKJjEch+b5sOe80qXk5aBry/4yeLePuRvJRUKhs+cbaQkRA39Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b7511147883af981dfe20f2d9e29f293244b18969f62b821ee701088a90223c1","last_reissued_at":"2026-05-18T00:27:22.701834Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:27:22.701834Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1411.1647","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:27:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rK7qBqBBBPNKLd7MypAi500YXZoNGS5SpowXzjVba8f1ws3O+KvswejJlVxfLfqO2OBoZ3MyKM1juf8qMza+Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T19:30:05.570265Z"},"content_sha256":"7ce7063745cd9c0780379fa30346cdb92408c64ddc24c09a7ef5b69c9185acab","schema_version":"1.0","event_id":"sha256:7ce7063745cd9c0780379fa30346cdb92408c64ddc24c09a7ef5b69c9185acab"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:W5IRCR4IHL4YDX7CB4WZ4KPSSM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Computing the Varchenko Determinant of a Bilinear Form","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Hery Randriamaro","submitted_at":"2014-11-06T16:05:07Z","abstract_excerpt":"The Varchenko determinant is the determinant of the bilinear form associated to a real hyperplane arrangement. We show that we can obtain the exact value of this determinant for certain hyperplane arrangements if we know the edges which are relevant."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.1647","kind":"arxiv","version":4},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"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":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:27:22Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gRFXK7DZ2hGbjzr+yJMbPjyfxaLsPFHoNxU/CSccrCRLg27ggOdB9FrR9XfjOtlmqD2vYBX5BdM42ElhbylHAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T19:30:05.571021Z"},"content_sha256":"d3976eae762949ffe007b07d48195162b4f0ed6a4cc88152497b7d75f89fe024","schema_version":"1.0","event_id":"sha256:d3976eae762949ffe007b07d48195162b4f0ed6a4cc88152497b7d75f89fe024"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/W5IRCR4IHL4YDX7CB4WZ4KPSSM/bundle.json","state_url":"https://pith.science/pith/W5IRCR4IHL4YDX7CB4WZ4KPSSM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/W5IRCR4IHL4YDX7CB4WZ4KPSSM/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":"2026-06-05T19:30:05Z","links":{"resolver":"https://pith.science/pith/W5IRCR4IHL4YDX7CB4WZ4KPSSM","bundle":"https://pith.science/pith/W5IRCR4IHL4YDX7CB4WZ4KPSSM/bundle.json","state":"https://pith.science/pith/W5IRCR4IHL4YDX7CB4WZ4KPSSM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/W5IRCR4IHL4YDX7CB4WZ4KPSSM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:W5IRCR4IHL4YDX7CB4WZ4KPSSM","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":"35df0783ddeab83eb4c794b2dbec44cd7cf555a1a6ebcdcc5ea43d55927127ed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-11-06T16:05:07Z","title_canon_sha256":"19e0a5939e3dc9f330c464ab60a9ade75e0dec2621b146f99e5d5757d8206467"},"schema_version":"1.0","source":{"id":"1411.1647","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1411.1647","created_at":"2026-05-18T00:27:22Z"},{"alias_kind":"arxiv_version","alias_value":"1411.1647v4","created_at":"2026-05-18T00:27:22Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1411.1647","created_at":"2026-05-18T00:27:22Z"},{"alias_kind":"pith_short_12","alias_value":"W5IRCR4IHL4Y","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"W5IRCR4IHL4YDX7C","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"W5IRCR4I","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:d3976eae762949ffe007b07d48195162b4f0ed6a4cc88152497b7d75f89fe024","target":"graph","created_at":"2026-05-18T00:27:22Z","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":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"paper":{"abstract_excerpt":"The Varchenko determinant is the determinant of the bilinear form associated to a real hyperplane arrangement. We show that we can obtain the exact value of this determinant for certain hyperplane arrangements if we know the edges which are relevant.","authors_text":"Hery Randriamaro","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-11-06T16:05:07Z","title":"Computing the Varchenko Determinant of a Bilinear Form"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1411.1647","kind":"arxiv","version":4},"verdict":{"created_at":null,"id":null,"model_set":{},"one_line_summary":"","pipeline_version":null,"pith_extraction_headline":"","strongest_claim":"","weakest_assumption":""}},"verdict_id":null}}],"author_attestations":[],"timestamp_anchors":[],"storage_attestations":[],"citation_signatures":[],"replication_records":[],"corrections":[],"mirror_hints":[],"record_created":{"event_id":"sha256:7ce7063745cd9c0780379fa30346cdb92408c64ddc24c09a7ef5b69c9185acab","target":"record","created_at":"2026-05-18T00:27:22Z","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":"35df0783ddeab83eb4c794b2dbec44cd7cf555a1a6ebcdcc5ea43d55927127ed","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2014-11-06T16:05:07Z","title_canon_sha256":"19e0a5939e3dc9f330c464ab60a9ade75e0dec2621b146f99e5d5757d8206467"},"schema_version":"1.0","source":{"id":"1411.1647","kind":"arxiv","version":4}},"canonical_sha256":"b7511147883af981dfe20f2d9e29f293244b18969f62b821ee701088a90223c1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b7511147883af981dfe20f2d9e29f293244b18969f62b821ee701088a90223c1","first_computed_at":"2026-05-18T00:27:22.701834Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:27:22.701834Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+8BGtsgOy7e6UuYZAaDQZM+TWupNguIuVQjUKJjEch+b5sOe80qXk5aBry/4yeLePuRvJRUKhs+cbaQkRA39Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:27:22.702523Z","signed_message":"canonical_sha256_bytes"},"source_id":"1411.1647","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7ce7063745cd9c0780379fa30346cdb92408c64ddc24c09a7ef5b69c9185acab","sha256:d3976eae762949ffe007b07d48195162b4f0ed6a4cc88152497b7d75f89fe024"],"state_sha256":"f2a6676d32812b3977be6726ff75a8b97ab4b051d8ed7e8ca2062c2ca64dad4e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XIo28ZfkIxe0PDy99+jQkECIIn6VUvdMZfWgiD5dOTehz2dzh2BwwRfTK0McY8XnPtK22d6/QZBXaUiMT1S1CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T19:30:05.575752Z","bundle_sha256":"99108f8cea379e19fc5cbee5eee1a8a0b1d9e08bed82cbbe527607977790b88b"}}