{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:QK6JUH2KKLDGANEO23JDBLUWVO","short_pith_number":"pith:QK6JUH2K","canonical_record":{"source":{"id":"1210.8301","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-10-31T11:30:13Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP"],"title_canon_sha256":"d3feecc1cc5b4de6b1566708b98253a64adb11e8bb7bab2f734a9e5c4e76a80c","abstract_canon_sha256":"1ea12c06fdc8364985ff848bd472f1bdc51bf3c7b2a4a8b198ea7e6b0d63e59a"},"schema_version":"1.0"},"canonical_sha256":"82bc9a1f4a52c660348ed6d230ae96ab8dccb8440640531566060ba24b81b57e","source":{"kind":"arxiv","id":"1210.8301","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.8301","created_at":"2026-05-18T01:53:35Z"},{"alias_kind":"arxiv_version","alias_value":"1210.8301v2","created_at":"2026-05-18T01:53:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.8301","created_at":"2026-05-18T01:53:35Z"},{"alias_kind":"pith_short_12","alias_value":"QK6JUH2KKLDG","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"QK6JUH2KKLDGANEO","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"QK6JUH2K","created_at":"2026-05-18T12:27:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:QK6JUH2KKLDGANEO23JDBLUWVO","target":"record","payload":{"canonical_record":{"source":{"id":"1210.8301","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-10-31T11:30:13Z","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP"],"title_canon_sha256":"d3feecc1cc5b4de6b1566708b98253a64adb11e8bb7bab2f734a9e5c4e76a80c","abstract_canon_sha256":"1ea12c06fdc8364985ff848bd472f1bdc51bf3c7b2a4a8b198ea7e6b0d63e59a"},"schema_version":"1.0"},"canonical_sha256":"82bc9a1f4a52c660348ed6d230ae96ab8dccb8440640531566060ba24b81b57e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:53:35.075851Z","signature_b64":"ZHQXeug8Wmcb0W0hy06m3komDOJogNNc9tyxJf5t2Xiu2NRPdlRvr0LfmvcTZwlsmAp+Jrl1z3J6K5BcFNbYDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"82bc9a1f4a52c660348ed6d230ae96ab8dccb8440640531566060ba24b81b57e","last_reissued_at":"2026-05-18T01:53:35.075204Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:53:35.075204Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1210.8301","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":"2026-05-18T01:53:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vdZgznulBZ/IkDQWcKDYVBy8Fk4Euos1qm/PQ8x/TMJwmq0x5dpPSYxjzP2+l4E7c+qlBNMS1b0TsJxTSpjFBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T23:46:05.532539Z"},"content_sha256":"7d46546b016c638779956a6f326872e0686278b7ab86baab9486ce60de8ab6f8","schema_version":"1.0","event_id":"sha256:7d46546b016c638779956a6f326872e0686278b7ab86baab9486ce60de8ab6f8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:QK6JUH2KKLDGANEO23JDBLUWVO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Infinitely extended Kac table of solvable critical dense polymers","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","hep-th","math.MP"],"primary_cat":"math-ph","authors_text":"Jorgen Rasmussen, Paul A. Pearce, Simon P. Villani","submitted_at":"2012-10-31T11:30:13Z","abstract_excerpt":"Solvable critical dense polymers is a Yang-Baxter integrable model of polymers on the square lattice. It is the first member LM(1,2) of the family of logarithmic minimal models LM(p,p'). The associated logarithmic conformal field theory admits an infinite family of Kac representations labelled by the Kac labels r,s=1,2,.... In this paper, we explicitly construct the conjugate boundary conditions on the strip. The boundary operators are labelled by the Kac fusion labels (r,s)=(r,1) x (1,s) and involve a boundary field xi. Tuning the field xi appropriately, we solve exactly for the transfer matr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.8301","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":"2026-05-18T01:53:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DBWqwJ9md+h4A9njIPwbBTMC7c8eydka1scBUoCN0gNCH3ii4rJKHN3WJ7GjWM6WAApxLv7GekLqjyHIH7SOBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-29T23:46:05.532926Z"},"content_sha256":"ee4b08bbfd33b983e4140a1c4b7538de0c05e124c2c3bfd131300adfa3c7a89c","schema_version":"1.0","event_id":"sha256:ee4b08bbfd33b983e4140a1c4b7538de0c05e124c2c3bfd131300adfa3c7a89c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QK6JUH2KKLDGANEO23JDBLUWVO/bundle.json","state_url":"https://pith.science/pith/QK6JUH2KKLDGANEO23JDBLUWVO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QK6JUH2KKLDGANEO23JDBLUWVO/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":"2026-05-29T23:46:05Z","links":{"resolver":"https://pith.science/pith/QK6JUH2KKLDGANEO23JDBLUWVO","bundle":"https://pith.science/pith/QK6JUH2KKLDGANEO23JDBLUWVO/bundle.json","state":"https://pith.science/pith/QK6JUH2KKLDGANEO23JDBLUWVO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QK6JUH2KKLDGANEO23JDBLUWVO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:QK6JUH2KKLDGANEO23JDBLUWVO","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":"1ea12c06fdc8364985ff848bd472f1bdc51bf3c7b2a4a8b198ea7e6b0d63e59a","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-10-31T11:30:13Z","title_canon_sha256":"d3feecc1cc5b4de6b1566708b98253a64adb11e8bb7bab2f734a9e5c4e76a80c"},"schema_version":"1.0","source":{"id":"1210.8301","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1210.8301","created_at":"2026-05-18T01:53:35Z"},{"alias_kind":"arxiv_version","alias_value":"1210.8301v2","created_at":"2026-05-18T01:53:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1210.8301","created_at":"2026-05-18T01:53:35Z"},{"alias_kind":"pith_short_12","alias_value":"QK6JUH2KKLDG","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_16","alias_value":"QK6JUH2KKLDGANEO","created_at":"2026-05-18T12:27:18Z"},{"alias_kind":"pith_short_8","alias_value":"QK6JUH2K","created_at":"2026-05-18T12:27:18Z"}],"graph_snapshots":[{"event_id":"sha256:ee4b08bbfd33b983e4140a1c4b7538de0c05e124c2c3bfd131300adfa3c7a89c","target":"graph","created_at":"2026-05-18T01:53:35Z","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":"Solvable critical dense polymers is a Yang-Baxter integrable model of polymers on the square lattice. It is the first member LM(1,2) of the family of logarithmic minimal models LM(p,p'). The associated logarithmic conformal field theory admits an infinite family of Kac representations labelled by the Kac labels r,s=1,2,.... In this paper, we explicitly construct the conjugate boundary conditions on the strip. The boundary operators are labelled by the Kac fusion labels (r,s)=(r,1) x (1,s) and involve a boundary field xi. Tuning the field xi appropriately, we solve exactly for the transfer matr","authors_text":"Jorgen Rasmussen, Paul A. Pearce, Simon P. Villani","cross_cats":["cond-mat.stat-mech","hep-th","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-10-31T11:30:13Z","title":"Infinitely extended Kac table of solvable critical dense polymers"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1210.8301","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":"sha256:7d46546b016c638779956a6f326872e0686278b7ab86baab9486ce60de8ab6f8","target":"record","created_at":"2026-05-18T01:53:35Z","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":"1ea12c06fdc8364985ff848bd472f1bdc51bf3c7b2a4a8b198ea7e6b0d63e59a","cross_cats_sorted":["cond-mat.stat-mech","hep-th","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2012-10-31T11:30:13Z","title_canon_sha256":"d3feecc1cc5b4de6b1566708b98253a64adb11e8bb7bab2f734a9e5c4e76a80c"},"schema_version":"1.0","source":{"id":"1210.8301","kind":"arxiv","version":2}},"canonical_sha256":"82bc9a1f4a52c660348ed6d230ae96ab8dccb8440640531566060ba24b81b57e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"82bc9a1f4a52c660348ed6d230ae96ab8dccb8440640531566060ba24b81b57e","first_computed_at":"2026-05-18T01:53:35.075204Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:53:35.075204Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ZHQXeug8Wmcb0W0hy06m3komDOJogNNc9tyxJf5t2Xiu2NRPdlRvr0LfmvcTZwlsmAp+Jrl1z3J6K5BcFNbYDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:53:35.075851Z","signed_message":"canonical_sha256_bytes"},"source_id":"1210.8301","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7d46546b016c638779956a6f326872e0686278b7ab86baab9486ce60de8ab6f8","sha256:ee4b08bbfd33b983e4140a1c4b7538de0c05e124c2c3bfd131300adfa3c7a89c"],"state_sha256":"fb844f807482a717894d868eaa7436d858917e2feb0b09b2f427963ef9477dff"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nC9aRbqb3RcfBqa+xlRp7CK56ofAepW0ewEFb9byoxgu8scuUtj66ZEKMKVVp43Af+trrQOGFU2XAJ9zRXLMBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-29T23:46:05.535705Z","bundle_sha256":"9ecc3cd3dc23fd84ccaf1002a3ab3ee9b46996727c6c4fb351b6acf5313eaf2c"}}