{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:K26UVGD6JAE7Y3A5AZSHQH6TBD","short_pith_number":"pith:K26UVGD6","canonical_record":{"source":{"id":"1206.2226","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-06-11T14:35:18Z","cross_cats_sorted":["math.AC","math.AG"],"title_canon_sha256":"659382ad96540c0f3a2fd685f05a136ed9c2a18b0942afbb9bdc7ef2503cc605","abstract_canon_sha256":"ee370cd65c7a5fc6bc0ffa4b6384a1fc89c14a3d0887b82d90875a9783ba7e9e"},"schema_version":"1.0"},"canonical_sha256":"56bd4a987e4809fc6c1d0664781fd308e9ece154e4d54c1906aef9a52734581e","source":{"kind":"arxiv","id":"1206.2226","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.2226","created_at":"2026-05-18T03:12:48Z"},{"alias_kind":"arxiv_version","alias_value":"1206.2226v2","created_at":"2026-05-18T03:12:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.2226","created_at":"2026-05-18T03:12:48Z"},{"alias_kind":"pith_short_12","alias_value":"K26UVGD6JAE7","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"K26UVGD6JAE7Y3A5","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"K26UVGD6","created_at":"2026-05-18T12:27:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:K26UVGD6JAE7Y3A5AZSHQH6TBD","target":"record","payload":{"canonical_record":{"source":{"id":"1206.2226","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-06-11T14:35:18Z","cross_cats_sorted":["math.AC","math.AG"],"title_canon_sha256":"659382ad96540c0f3a2fd685f05a136ed9c2a18b0942afbb9bdc7ef2503cc605","abstract_canon_sha256":"ee370cd65c7a5fc6bc0ffa4b6384a1fc89c14a3d0887b82d90875a9783ba7e9e"},"schema_version":"1.0"},"canonical_sha256":"56bd4a987e4809fc6c1d0664781fd308e9ece154e4d54c1906aef9a52734581e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:12:48.563301Z","signature_b64":"WT8lRIcfH3JDhakifd7IGa2jVYJlkR3RevMud1Ym75xZqlUEQJI6obP44kaNk0ZxXNys+xFFIYNa5/sevTdxAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"56bd4a987e4809fc6c1d0664781fd308e9ece154e4d54c1906aef9a52734581e","last_reissued_at":"2026-05-18T03:12:48.562815Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:12:48.562815Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1206.2226","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":"2026-05-18T03:12:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vfL83tf+DOwau3TF3bgrqMkfvZhfbMY6aWY/yUbTNmPzhulZ9IqOFvc7YxbcZ66D5ynon+tyhI4t2l3JfFcFAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T15:07:59.129175Z"},"content_sha256":"05874a9e9eb01bbb97c61962722e342f4491900d2ae2bfdfb5ac39781b9f23e1","schema_version":"1.0","event_id":"sha256:05874a9e9eb01bbb97c61962722e342f4491900d2ae2bfdfb5ac39781b9f23e1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:K26UVGD6JAE7Y3A5AZSHQH6TBD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On stable Khovanov homology of torus knots","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.AC","math.AG"],"primary_cat":"math.GT","authors_text":"Alexei Oblomkov, Eugene Gorsky, Jacob Rasmussen","submitted_at":"2012-06-11T14:35:18Z","abstract_excerpt":"We conjecture that the stable Khovanov homology of torus knots can be described as the Koszul homology of an explicit non-regular sequence of quadratic polynomials. The corresponding Poincare series turns out to be related to the Rogers-Ramanujan identity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.2226","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":"2026-05-18T03:12:48Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0HMOZXvQjRwSmS54p6bG/JXmbSXLg9ZTkQyst2h4L12CNIjD+ggIntY/0/zrIPS23VvVrhG3W6Lhq/SUVfaYAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T15:07:59.129813Z"},"content_sha256":"adf1bef82d0a1dee44aaf3d271228c56006aa2642f1ce4f10b35b88cec286449","schema_version":"1.0","event_id":"sha256:adf1bef82d0a1dee44aaf3d271228c56006aa2642f1ce4f10b35b88cec286449"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K26UVGD6JAE7Y3A5AZSHQH6TBD/bundle.json","state_url":"https://pith.science/pith/K26UVGD6JAE7Y3A5AZSHQH6TBD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K26UVGD6JAE7Y3A5AZSHQH6TBD/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":"2026-05-26T15:07:59Z","links":{"resolver":"https://pith.science/pith/K26UVGD6JAE7Y3A5AZSHQH6TBD","bundle":"https://pith.science/pith/K26UVGD6JAE7Y3A5AZSHQH6TBD/bundle.json","state":"https://pith.science/pith/K26UVGD6JAE7Y3A5AZSHQH6TBD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K26UVGD6JAE7Y3A5AZSHQH6TBD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:K26UVGD6JAE7Y3A5AZSHQH6TBD","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":"ee370cd65c7a5fc6bc0ffa4b6384a1fc89c14a3d0887b82d90875a9783ba7e9e","cross_cats_sorted":["math.AC","math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-06-11T14:35:18Z","title_canon_sha256":"659382ad96540c0f3a2fd685f05a136ed9c2a18b0942afbb9bdc7ef2503cc605"},"schema_version":"1.0","source":{"id":"1206.2226","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1206.2226","created_at":"2026-05-18T03:12:48Z"},{"alias_kind":"arxiv_version","alias_value":"1206.2226v2","created_at":"2026-05-18T03:12:48Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1206.2226","created_at":"2026-05-18T03:12:48Z"},{"alias_kind":"pith_short_12","alias_value":"K26UVGD6JAE7","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_16","alias_value":"K26UVGD6JAE7Y3A5","created_at":"2026-05-18T12:27:11Z"},{"alias_kind":"pith_short_8","alias_value":"K26UVGD6","created_at":"2026-05-18T12:27:11Z"}],"graph_snapshots":[{"event_id":"sha256:adf1bef82d0a1dee44aaf3d271228c56006aa2642f1ce4f10b35b88cec286449","target":"graph","created_at":"2026-05-18T03:12:48Z","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":"We conjecture that the stable Khovanov homology of torus knots can be described as the Koszul homology of an explicit non-regular sequence of quadratic polynomials. The corresponding Poincare series turns out to be related to the Rogers-Ramanujan identity.","authors_text":"Alexei Oblomkov, Eugene Gorsky, Jacob Rasmussen","cross_cats":["math.AC","math.AG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-06-11T14:35:18Z","title":"On stable Khovanov homology of torus knots"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1206.2226","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":"sha256:05874a9e9eb01bbb97c61962722e342f4491900d2ae2bfdfb5ac39781b9f23e1","target":"record","created_at":"2026-05-18T03:12:48Z","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":"ee370cd65c7a5fc6bc0ffa4b6384a1fc89c14a3d0887b82d90875a9783ba7e9e","cross_cats_sorted":["math.AC","math.AG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.GT","submitted_at":"2012-06-11T14:35:18Z","title_canon_sha256":"659382ad96540c0f3a2fd685f05a136ed9c2a18b0942afbb9bdc7ef2503cc605"},"schema_version":"1.0","source":{"id":"1206.2226","kind":"arxiv","version":2}},"canonical_sha256":"56bd4a987e4809fc6c1d0664781fd308e9ece154e4d54c1906aef9a52734581e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"56bd4a987e4809fc6c1d0664781fd308e9ece154e4d54c1906aef9a52734581e","first_computed_at":"2026-05-18T03:12:48.562815Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:12:48.562815Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"WT8lRIcfH3JDhakifd7IGa2jVYJlkR3RevMud1Ym75xZqlUEQJI6obP44kaNk0ZxXNys+xFFIYNa5/sevTdxAA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:12:48.563301Z","signed_message":"canonical_sha256_bytes"},"source_id":"1206.2226","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:05874a9e9eb01bbb97c61962722e342f4491900d2ae2bfdfb5ac39781b9f23e1","sha256:adf1bef82d0a1dee44aaf3d271228c56006aa2642f1ce4f10b35b88cec286449"],"state_sha256":"5d98a102b959ff53e401e0850fb8c26c05b272945737acd3b15b180c5b886095"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bKp29KVK3O70k5R2CPPsVSAJm7V/1MSb4Hk2oJbRJOyCNKaefSc7EsS40rSVZldDdkYbWBdM6gS5DYoBa6HEBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T15:07:59.133042Z","bundle_sha256":"9f927c1b99f5677558e46c6628fb32d201009dbcea88189203a60adddc962cd0"}}