{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:4KGY77CCQD43GZTE7RURYR747W","short_pith_number":"pith:4KGY77CC","canonical_record":{"source":{"id":"2208.13258","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2022-08-28T17:48:47Z","cross_cats_sorted":[],"title_canon_sha256":"26138ed3dbf905f7c3c254578790ebaba3ab002909673e58ac2fd89b92cd7fda","abstract_canon_sha256":"15b6cd6967e3ab0b418959dac4f7a293bd527a7ba25f399c03d332a336230376"},"schema_version":"1.0"},"canonical_sha256":"e28d8ffc4280f9b36664fc691c47fcfd97352b394718e803fd4345be7ee52101","source":{"kind":"arxiv","id":"2208.13258","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2208.13258","created_at":"2026-07-05T08:02:41Z"},{"alias_kind":"arxiv_version","alias_value":"2208.13258v3","created_at":"2026-07-05T08:02:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.13258","created_at":"2026-07-05T08:02:41Z"},{"alias_kind":"pith_short_12","alias_value":"4KGY77CCQD43","created_at":"2026-07-05T08:02:41Z"},{"alias_kind":"pith_short_16","alias_value":"4KGY77CCQD43GZTE","created_at":"2026-07-05T08:02:41Z"},{"alias_kind":"pith_short_8","alias_value":"4KGY77CC","created_at":"2026-07-05T08:02:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:4KGY77CCQD43GZTE7RURYR747W","target":"record","payload":{"canonical_record":{"source":{"id":"2208.13258","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2022-08-28T17:48:47Z","cross_cats_sorted":[],"title_canon_sha256":"26138ed3dbf905f7c3c254578790ebaba3ab002909673e58ac2fd89b92cd7fda","abstract_canon_sha256":"15b6cd6967e3ab0b418959dac4f7a293bd527a7ba25f399c03d332a336230376"},"schema_version":"1.0"},"canonical_sha256":"e28d8ffc4280f9b36664fc691c47fcfd97352b394718e803fd4345be7ee52101","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:02:41.412274Z","signature_b64":"+rvlZHEIG7Hax/o00Lr59GjDEIDmXIXb+nx2ve9CrjpviN9cv95Gmw0HcY5IRn8DaMKbe4RCB/gzC6Hj0Zm3DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e28d8ffc4280f9b36664fc691c47fcfd97352b394718e803fd4345be7ee52101","last_reissued_at":"2026-07-05T08:02:41.411789Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:02:41.411789Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2208.13258","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T08:02:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fJxkSO/A8pFXqv5O/2tGz52tx3/LQeI4upC0rFJ12uPhIvIEjP796mm5o6/aWugajEWWY0RMSsYtaajGXqMiAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T05:09:29.245373Z"},"content_sha256":"e0a23703a7925e3ddbab2e6f89b00c5a302e2ea1231f27a5dbb0783016b16217","schema_version":"1.0","event_id":"sha256:e0a23703a7925e3ddbab2e6f89b00c5a302e2ea1231f27a5dbb0783016b16217"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:4KGY77CCQD43GZTE7RURYR747W","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Delta-matroids whose twist polynomials are monomials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.CO","authors_text":"Daniel Yuschak","submitted_at":"2022-08-28T17:48:47Z","abstract_excerpt":"The twist polynomial of a delta-matroid was recently introduced by Yan and Jin, who proved a characterization of binary delta-matroids with twist monomials. In this paper, we extend this result to all delta-matroids by proving that any delta-matroid with a twist monomial must be binary."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.13258","kind":"arxiv","version":3},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2208.13258/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T08:02:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gjqpMCW2oCL5+6guPLcqLIOsLgGPzuOYKjjSgZG69SBuai3XxmBBu6YRwYXVNo+t1QekQzU+Jnq3NAccbSxECw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T05:09:29.245867Z"},"content_sha256":"9223824702bb9079c7c55c58b45f9419017f44069bcf63f3fbb08c698a441c32","schema_version":"1.0","event_id":"sha256:9223824702bb9079c7c55c58b45f9419017f44069bcf63f3fbb08c698a441c32"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4KGY77CCQD43GZTE7RURYR747W/bundle.json","state_url":"https://pith.science/pith/4KGY77CCQD43GZTE7RURYR747W/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4KGY77CCQD43GZTE7RURYR747W/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":"2026-08-04T05:09:29Z","links":{"resolver":"https://pith.science/pith/4KGY77CCQD43GZTE7RURYR747W","bundle":"https://pith.science/pith/4KGY77CCQD43GZTE7RURYR747W/bundle.json","state":"https://pith.science/pith/4KGY77CCQD43GZTE7RURYR747W/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4KGY77CCQD43GZTE7RURYR747W/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:4KGY77CCQD43GZTE7RURYR747W","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":"15b6cd6967e3ab0b418959dac4f7a293bd527a7ba25f399c03d332a336230376","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2022-08-28T17:48:47Z","title_canon_sha256":"26138ed3dbf905f7c3c254578790ebaba3ab002909673e58ac2fd89b92cd7fda"},"schema_version":"1.0","source":{"id":"2208.13258","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2208.13258","created_at":"2026-07-05T08:02:41Z"},{"alias_kind":"arxiv_version","alias_value":"2208.13258v3","created_at":"2026-07-05T08:02:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.13258","created_at":"2026-07-05T08:02:41Z"},{"alias_kind":"pith_short_12","alias_value":"4KGY77CCQD43","created_at":"2026-07-05T08:02:41Z"},{"alias_kind":"pith_short_16","alias_value":"4KGY77CCQD43GZTE","created_at":"2026-07-05T08:02:41Z"},{"alias_kind":"pith_short_8","alias_value":"4KGY77CC","created_at":"2026-07-05T08:02:41Z"}],"graph_snapshots":[{"event_id":"sha256:9223824702bb9079c7c55c58b45f9419017f44069bcf63f3fbb08c698a441c32","target":"graph","created_at":"2026-07-05T08:02:41Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2208.13258/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The twist polynomial of a delta-matroid was recently introduced by Yan and Jin, who proved a characterization of binary delta-matroids with twist monomials. In this paper, we extend this result to all delta-matroids by proving that any delta-matroid with a twist monomial must be binary.","authors_text":"Daniel Yuschak","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2022-08-28T17:48:47Z","title":"Delta-matroids whose twist polynomials are monomials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.13258","kind":"arxiv","version":3},"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:e0a23703a7925e3ddbab2e6f89b00c5a302e2ea1231f27a5dbb0783016b16217","target":"record","created_at":"2026-07-05T08:02:41Z","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":"15b6cd6967e3ab0b418959dac4f7a293bd527a7ba25f399c03d332a336230376","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.CO","submitted_at":"2022-08-28T17:48:47Z","title_canon_sha256":"26138ed3dbf905f7c3c254578790ebaba3ab002909673e58ac2fd89b92cd7fda"},"schema_version":"1.0","source":{"id":"2208.13258","kind":"arxiv","version":3}},"canonical_sha256":"e28d8ffc4280f9b36664fc691c47fcfd97352b394718e803fd4345be7ee52101","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e28d8ffc4280f9b36664fc691c47fcfd97352b394718e803fd4345be7ee52101","first_computed_at":"2026-07-05T08:02:41.411789Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:02:41.411789Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"+rvlZHEIG7Hax/o00Lr59GjDEIDmXIXb+nx2ve9CrjpviN9cv95Gmw0HcY5IRn8DaMKbe4RCB/gzC6Hj0Zm3DQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:02:41.412274Z","signed_message":"canonical_sha256_bytes"},"source_id":"2208.13258","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e0a23703a7925e3ddbab2e6f89b00c5a302e2ea1231f27a5dbb0783016b16217","sha256:9223824702bb9079c7c55c58b45f9419017f44069bcf63f3fbb08c698a441c32"],"state_sha256":"3d1c656319b3cfeaf34318b69093a80c862de439865f38af3680947924a49cf5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HrzCYHyyqh8MWJDjKmp0brWhAFiFIjXTVcYLlU9AT71GWlNTXk9qCf5kBs6/3oCfzN+U3bu7zM9xS+jfSF8sBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T05:09:29.249359Z","bundle_sha256":"a6d1e6e5b595317a63c2eee98dc2bb186e7d841abc92b34283a148d67897a0cc"}}