{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:5AYN6NKCG6BPYBWAEATICKJYTD","short_pith_number":"pith:5AYN6NKC","canonical_record":{"source":{"id":"1606.00558","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-06-02T06:53:45Z","cross_cats_sorted":[],"title_canon_sha256":"6882389b1a831efef28c3e823fb4c3a3a50781c60fe5120ad312216254c13180","abstract_canon_sha256":"282b671296d55a190a2e2de5f6f30c049ba1245068daacd82504de26047d2b58"},"schema_version":"1.0"},"canonical_sha256":"e830df35423782fc06c0202681293898cd2453b7ef524cdba322ab880ede42a9","source":{"kind":"arxiv","id":"1606.00558","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.00558","created_at":"2026-05-18T00:52:02Z"},{"alias_kind":"arxiv_version","alias_value":"1606.00558v2","created_at":"2026-05-18T00:52:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.00558","created_at":"2026-05-18T00:52:02Z"},{"alias_kind":"pith_short_12","alias_value":"5AYN6NKCG6BP","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"5AYN6NKCG6BPYBWA","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"5AYN6NKC","created_at":"2026-05-18T12:29:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:5AYN6NKCG6BPYBWAEATICKJYTD","target":"record","payload":{"canonical_record":{"source":{"id":"1606.00558","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-06-02T06:53:45Z","cross_cats_sorted":[],"title_canon_sha256":"6882389b1a831efef28c3e823fb4c3a3a50781c60fe5120ad312216254c13180","abstract_canon_sha256":"282b671296d55a190a2e2de5f6f30c049ba1245068daacd82504de26047d2b58"},"schema_version":"1.0"},"canonical_sha256":"e830df35423782fc06c0202681293898cd2453b7ef524cdba322ab880ede42a9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:02.051576Z","signature_b64":"O9j1Bh/09ABqPZ/5BhZCmlqp0HlVNG2MnG3R1344srfAcElzQxs2JRjvQJosC3OUWk70lk1cZQKdle9KGQVDCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e830df35423782fc06c0202681293898cd2453b7ef524cdba322ab880ede42a9","last_reissued_at":"2026-05-18T00:52:02.050899Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:02.050899Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1606.00558","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":"2026-05-18T00:52:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KYYEpIsCOTVyc9flx/Uj0s3EMMaDLRB2w29OJo980M5+8LjFRPizvYnmD3qPnQO5OCwzWeh+3Ig04mNT0CfYBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T23:24:27.389819Z"},"content_sha256":"1161c008a8f0b213625461424057eba74a7a14d53f68db814f463435cf4a06f8","schema_version":"1.0","event_id":"sha256:1161c008a8f0b213625461424057eba74a7a14d53f68db814f463435cf4a06f8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:5AYN6NKCG6BPYBWAEATICKJYTD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A characterization of almost alternating knot","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.GT","authors_text":"Tetsuya Ito","submitted_at":"2016-06-02T06:53:45Z","abstract_excerpt":"Generalizing Howie and Greene's characterization of alternating knots, we give a topological characterization of almost alternating knots."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.00558","kind":"arxiv","version":2},"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":"2026-05-18T00:52:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/hUmv9XBRwtuC/4Osq2nLnMdJ8aTHFHS3oqZd+0AIlcQvKzQa+Fa3MLnsUGcoonhw1/bVx5yUlAWHV8EqWX8Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T23:24:27.390155Z"},"content_sha256":"7fc068e9051392c32ead8c40be5d3f9cfbc89f64cf303a0443851db7ac819f3a","schema_version":"1.0","event_id":"sha256:7fc068e9051392c32ead8c40be5d3f9cfbc89f64cf303a0443851db7ac819f3a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5AYN6NKCG6BPYBWAEATICKJYTD/bundle.json","state_url":"https://pith.science/pith/5AYN6NKCG6BPYBWAEATICKJYTD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5AYN6NKCG6BPYBWAEATICKJYTD/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":"2026-06-22T23:24:27Z","links":{"resolver":"https://pith.science/pith/5AYN6NKCG6BPYBWAEATICKJYTD","bundle":"https://pith.science/pith/5AYN6NKCG6BPYBWAEATICKJYTD/bundle.json","state":"https://pith.science/pith/5AYN6NKCG6BPYBWAEATICKJYTD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5AYN6NKCG6BPYBWAEATICKJYTD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:5AYN6NKCG6BPYBWAEATICKJYTD","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":"282b671296d55a190a2e2de5f6f30c049ba1245068daacd82504de26047d2b58","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-06-02T06:53:45Z","title_canon_sha256":"6882389b1a831efef28c3e823fb4c3a3a50781c60fe5120ad312216254c13180"},"schema_version":"1.0","source":{"id":"1606.00558","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1606.00558","created_at":"2026-05-18T00:52:02Z"},{"alias_kind":"arxiv_version","alias_value":"1606.00558v2","created_at":"2026-05-18T00:52:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1606.00558","created_at":"2026-05-18T00:52:02Z"},{"alias_kind":"pith_short_12","alias_value":"5AYN6NKCG6BP","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"5AYN6NKCG6BPYBWA","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"5AYN6NKC","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:7fc068e9051392c32ead8c40be5d3f9cfbc89f64cf303a0443851db7ac819f3a","target":"graph","created_at":"2026-05-18T00:52:02Z","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":"Generalizing Howie and Greene's characterization of alternating knots, we give a topological characterization of almost alternating knots.","authors_text":"Tetsuya Ito","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-06-02T06:53:45Z","title":"A characterization of almost alternating knot"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1606.00558","kind":"arxiv","version":2},"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":"sha256:1161c008a8f0b213625461424057eba74a7a14d53f68db814f463435cf4a06f8","target":"record","created_at":"2026-05-18T00:52:02Z","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":"282b671296d55a190a2e2de5f6f30c049ba1245068daacd82504de26047d2b58","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2016-06-02T06:53:45Z","title_canon_sha256":"6882389b1a831efef28c3e823fb4c3a3a50781c60fe5120ad312216254c13180"},"schema_version":"1.0","source":{"id":"1606.00558","kind":"arxiv","version":2}},"canonical_sha256":"e830df35423782fc06c0202681293898cd2453b7ef524cdba322ab880ede42a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e830df35423782fc06c0202681293898cd2453b7ef524cdba322ab880ede42a9","first_computed_at":"2026-05-18T00:52:02.050899Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:02.050899Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"O9j1Bh/09ABqPZ/5BhZCmlqp0HlVNG2MnG3R1344srfAcElzQxs2JRjvQJosC3OUWk70lk1cZQKdle9KGQVDCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:02.051576Z","signed_message":"canonical_sha256_bytes"},"source_id":"1606.00558","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1161c008a8f0b213625461424057eba74a7a14d53f68db814f463435cf4a06f8","sha256:7fc068e9051392c32ead8c40be5d3f9cfbc89f64cf303a0443851db7ac819f3a"],"state_sha256":"cafadbf8b6fb9083740dda7d25875a4048d12b77d03eadcf3634f0e8612562df"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yGHlFKvQCmn22IImnBUsHvqFT16TSr9aL6C3w/+piVWUrGLd/MXmhlENb3m7awzKqbbmyHa+ihBhha7MylANDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T23:24:27.392074Z","bundle_sha256":"689ae2023634db92a0def798fd4f8b78157802cf99db13bc560a4cf03001504b"}}