{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:4XDCKIBS7JMEHZIVL4U6JAHK25","short_pith_number":"pith:4XDCKIBS","canonical_record":{"source":{"id":"1309.7984","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-09-30T19:46:17Z","cross_cats_sorted":["math.GT","math.QA"],"title_canon_sha256":"1118d9b1dfab14c600f93444919c5a10f23fe51652c587e8b43a417e1a61e93a","abstract_canon_sha256":"5fb10983ae5a0e7a4f31c8b37694a546d4325a0698c74839ac9aac2f85ca8546"},"schema_version":"1.0"},"canonical_sha256":"e5c6252032fa5843e5155f29e480ead760a0293201eebd32e142924576f87dd0","source":{"kind":"arxiv","id":"1309.7984","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.7984","created_at":"2026-05-18T02:52:34Z"},{"alias_kind":"arxiv_version","alias_value":"1309.7984v3","created_at":"2026-05-18T02:52:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.7984","created_at":"2026-05-18T02:52:34Z"},{"alias_kind":"pith_short_12","alias_value":"4XDCKIBS7JME","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"4XDCKIBS7JMEHZIV","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"4XDCKIBS","created_at":"2026-05-18T12:27:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:4XDCKIBS7JMEHZIVL4U6JAHK25","target":"record","payload":{"canonical_record":{"source":{"id":"1309.7984","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-09-30T19:46:17Z","cross_cats_sorted":["math.GT","math.QA"],"title_canon_sha256":"1118d9b1dfab14c600f93444919c5a10f23fe51652c587e8b43a417e1a61e93a","abstract_canon_sha256":"5fb10983ae5a0e7a4f31c8b37694a546d4325a0698c74839ac9aac2f85ca8546"},"schema_version":"1.0"},"canonical_sha256":"e5c6252032fa5843e5155f29e480ead760a0293201eebd32e142924576f87dd0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:52:34.416407Z","signature_b64":"fSj1pWrIJybrRVWPkNdb9xh5kJH31nq/ZDtIYaVEfw/Q11nS0Nn+CDUJBU+US3pQfq0/GUjB7qdw/RSWRI5lAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e5c6252032fa5843e5155f29e480ead760a0293201eebd32e142924576f87dd0","last_reissued_at":"2026-05-18T02:52:34.415934Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:52:34.415934Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1309.7984","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":"2026-05-18T02:52:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7UMfZkTESKLYchkxOT6vPkxU345AJHJJlQ3QafVwL4kcFVObKg3TsmtSdeFcQuvTUtfYlMAOMpj0XbFhdQEGBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T13:48:34.213004Z"},"content_sha256":"0cc2db178e4a3c2675b44a7ef4fbeb350d746c4f19b7fb4b306355cdc62194f7","schema_version":"1.0","event_id":"sha256:0cc2db178e4a3c2675b44a7ef4fbeb350d746c4f19b7fb4b306355cdc62194f7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:4XDCKIBS7JMEHZIVL4U6JAHK25","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Link polynomial calculus and the AENV conjecture","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.GT","math.QA"],"primary_cat":"hep-th","authors_text":"A.Mironov, A.Morozov, An.Morozov, S.Arthamonov","submitted_at":"2013-09-30T19:46:17Z","abstract_excerpt":"Using the recently proposed differential hierarchy (Z-expansion) technique, we obtain a general expression for the HOMFLY polynomials in two arbitrary symmetric representations of link families, including Whitehead and Borromean links. Among other things, this allows us to check and confirm the recent conjecture of arXiv:1304.5778 that the large representation limit (the same as considered in the knot volume conjecture) of this quantity matches the prediction from mirror symmetry consideration. We also provide, using the evolution method, the HOMFLY polynomial in two arbitrary symmetric repres"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.7984","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":""},"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":"2026-05-18T02:52:34Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+HtVhlW03ir5CbjocYEdtT7DeR/Y0rTHG1w8vSUdLb2OPhgyr7Lb6cYRuxiCPbIwBeig+HX8ONzBUnWJydejAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T13:48:34.213353Z"},"content_sha256":"824773e870ec8320880dd90f6afa6eec1e55e393e143c34e11db04a359908855","schema_version":"1.0","event_id":"sha256:824773e870ec8320880dd90f6afa6eec1e55e393e143c34e11db04a359908855"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4XDCKIBS7JMEHZIVL4U6JAHK25/bundle.json","state_url":"https://pith.science/pith/4XDCKIBS7JMEHZIVL4U6JAHK25/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4XDCKIBS7JMEHZIVL4U6JAHK25/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":"2026-06-01T13:48:34Z","links":{"resolver":"https://pith.science/pith/4XDCKIBS7JMEHZIVL4U6JAHK25","bundle":"https://pith.science/pith/4XDCKIBS7JMEHZIVL4U6JAHK25/bundle.json","state":"https://pith.science/pith/4XDCKIBS7JMEHZIVL4U6JAHK25/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4XDCKIBS7JMEHZIVL4U6JAHK25/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:4XDCKIBS7JMEHZIVL4U6JAHK25","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":"5fb10983ae5a0e7a4f31c8b37694a546d4325a0698c74839ac9aac2f85ca8546","cross_cats_sorted":["math.GT","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-09-30T19:46:17Z","title_canon_sha256":"1118d9b1dfab14c600f93444919c5a10f23fe51652c587e8b43a417e1a61e93a"},"schema_version":"1.0","source":{"id":"1309.7984","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1309.7984","created_at":"2026-05-18T02:52:34Z"},{"alias_kind":"arxiv_version","alias_value":"1309.7984v3","created_at":"2026-05-18T02:52:34Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1309.7984","created_at":"2026-05-18T02:52:34Z"},{"alias_kind":"pith_short_12","alias_value":"4XDCKIBS7JME","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_16","alias_value":"4XDCKIBS7JMEHZIV","created_at":"2026-05-18T12:27:34Z"},{"alias_kind":"pith_short_8","alias_value":"4XDCKIBS","created_at":"2026-05-18T12:27:34Z"}],"graph_snapshots":[{"event_id":"sha256:824773e870ec8320880dd90f6afa6eec1e55e393e143c34e11db04a359908855","target":"graph","created_at":"2026-05-18T02:52:34Z","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":"Using the recently proposed differential hierarchy (Z-expansion) technique, we obtain a general expression for the HOMFLY polynomials in two arbitrary symmetric representations of link families, including Whitehead and Borromean links. Among other things, this allows us to check and confirm the recent conjecture of arXiv:1304.5778 that the large representation limit (the same as considered in the knot volume conjecture) of this quantity matches the prediction from mirror symmetry consideration. We also provide, using the evolution method, the HOMFLY polynomial in two arbitrary symmetric repres","authors_text":"A.Mironov, A.Morozov, An.Morozov, S.Arthamonov","cross_cats":["math.GT","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-09-30T19:46:17Z","title":"Link polynomial calculus and the AENV conjecture"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1309.7984","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":"sha256:0cc2db178e4a3c2675b44a7ef4fbeb350d746c4f19b7fb4b306355cdc62194f7","target":"record","created_at":"2026-05-18T02:52:34Z","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":"5fb10983ae5a0e7a4f31c8b37694a546d4325a0698c74839ac9aac2f85ca8546","cross_cats_sorted":["math.GT","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-09-30T19:46:17Z","title_canon_sha256":"1118d9b1dfab14c600f93444919c5a10f23fe51652c587e8b43a417e1a61e93a"},"schema_version":"1.0","source":{"id":"1309.7984","kind":"arxiv","version":3}},"canonical_sha256":"e5c6252032fa5843e5155f29e480ead760a0293201eebd32e142924576f87dd0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e5c6252032fa5843e5155f29e480ead760a0293201eebd32e142924576f87dd0","first_computed_at":"2026-05-18T02:52:34.415934Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:52:34.415934Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fSj1pWrIJybrRVWPkNdb9xh5kJH31nq/ZDtIYaVEfw/Q11nS0Nn+CDUJBU+US3pQfq0/GUjB7qdw/RSWRI5lAg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:52:34.416407Z","signed_message":"canonical_sha256_bytes"},"source_id":"1309.7984","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0cc2db178e4a3c2675b44a7ef4fbeb350d746c4f19b7fb4b306355cdc62194f7","sha256:824773e870ec8320880dd90f6afa6eec1e55e393e143c34e11db04a359908855"],"state_sha256":"cedbc878c79be208ac366e24ab5ae980815d00d88832af9950b87a3027b772ed"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JiRrW4lwfRPUP9pzPDHdA+/6nFY4GPf8h9j9LtCiGF3E62ckO5NZ4vEKUkGzK7JiQq5jzzFK8rUZjZVHLiVACQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T13:48:34.215233Z","bundle_sha256":"535f1048996b48a2f51986a001ca8ae881fc9cd9bc3e544fc8d9921c879b790e"}}