{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:PSG77A4QB2ELBG4BC6D3YFS33F","short_pith_number":"pith:PSG77A4Q","canonical_record":{"source":{"id":"1010.0050","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-10-01T02:00:12Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"266a468d59a40bffc9fc852672af7452e212d9cbdfd384e629ec34c4a17d2dd8","abstract_canon_sha256":"a0cad7525896cd0ed90104a0295dea4583050c8f5adf4d430dfa15f619516e62"},"schema_version":"1.0"},"canonical_sha256":"7c8dff83900e88b09b811787bc165bd94b0e6fef1b7b7532af974a150974d9b7","source":{"kind":"arxiv","id":"1010.0050","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.0050","created_at":"2026-05-18T04:24:36Z"},{"alias_kind":"arxiv_version","alias_value":"1010.0050v2","created_at":"2026-05-18T04:24:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.0050","created_at":"2026-05-18T04:24:36Z"},{"alias_kind":"pith_short_12","alias_value":"PSG77A4QB2EL","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"PSG77A4QB2ELBG4B","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"PSG77A4Q","created_at":"2026-05-18T12:26:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:PSG77A4QB2ELBG4BC6D3YFS33F","target":"record","payload":{"canonical_record":{"source":{"id":"1010.0050","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-10-01T02:00:12Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"266a468d59a40bffc9fc852672af7452e212d9cbdfd384e629ec34c4a17d2dd8","abstract_canon_sha256":"a0cad7525896cd0ed90104a0295dea4583050c8f5adf4d430dfa15f619516e62"},"schema_version":"1.0"},"canonical_sha256":"7c8dff83900e88b09b811787bc165bd94b0e6fef1b7b7532af974a150974d9b7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:24:36.218547Z","signature_b64":"fi96awlJkrHy4vrR+ApL3kHs5uItePYrheob0TSVqvb1qYokXxMDzr90TclCYL5wWKck70p7lpYts/Sk87zIAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7c8dff83900e88b09b811787bc165bd94b0e6fef1b7b7532af974a150974d9b7","last_reissued_at":"2026-05-18T04:24:36.218030Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:24:36.218030Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.0050","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":"2026-05-18T04:24:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IO/Tpvxb8Eh/lD+3ql8Unql4gKCPtBXYd+mFzkygEu0jbG7CXBL2Q7OKTSZ/fHXcj3GmTmq+xiA2Vsz5a/pdCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T22:55:39.963258Z"},"content_sha256":"c3cad1813fea0c2db063b09ab77559d38e171597ee536a7ec39df5a47c349377","schema_version":"1.0","event_id":"sha256:c3cad1813fea0c2db063b09ab77559d38e171597ee536a7ec39df5a47c349377"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:PSG77A4QB2ELBG4BC6D3YFS33F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Exact Solution of a Monomer-Dimer Problem: A Single Boundary Monomer on a Non-Bipartite Lattice","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"cond-mat.stat-mech","authors_text":"F. Y. Wu, N. Sh. Izmailian, Wen-Jer Tzeng","submitted_at":"2010-10-01T02:00:12Z","abstract_excerpt":"We solve the monomer-dimer problem on a non-bipartite lattice, the simple quartic lattice with cylindrical boundary conditions, with a single monomer residing on the boundary. Due to the non-bipartite nature of the lattice, the well-known method of a Temperley bijection of solving single-monomer problems cannot be used. In this paper we derive the solution by mapping the problem onto one on close-packed dimers on a related lattice. Finite-size analysis of the solution is carried out. We find from asymptotic expansions of the free energy that the central charge in the logarithmic conformal fiel"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.0050","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":"2026-05-18T04:24:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gEc7YWczu9E/Ik//KpS/nvKhRlviubItiWdJ3N1+kfA/x9NToilFjlpeyezLAt8uIoc5IHfURPrL35lCyEpBBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T22:55:39.963638Z"},"content_sha256":"8e9c2b569dcf8cf8ccf4585308a2e0d5559c5f614a96baacf2c056c410e39601","schema_version":"1.0","event_id":"sha256:8e9c2b569dcf8cf8ccf4585308a2e0d5559c5f614a96baacf2c056c410e39601"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PSG77A4QB2ELBG4BC6D3YFS33F/bundle.json","state_url":"https://pith.science/pith/PSG77A4QB2ELBG4BC6D3YFS33F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PSG77A4QB2ELBG4BC6D3YFS33F/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":"2026-06-02T22:55:39Z","links":{"resolver":"https://pith.science/pith/PSG77A4QB2ELBG4BC6D3YFS33F","bundle":"https://pith.science/pith/PSG77A4QB2ELBG4BC6D3YFS33F/bundle.json","state":"https://pith.science/pith/PSG77A4QB2ELBG4BC6D3YFS33F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PSG77A4QB2ELBG4BC6D3YFS33F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:PSG77A4QB2ELBG4BC6D3YFS33F","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":"a0cad7525896cd0ed90104a0295dea4583050c8f5adf4d430dfa15f619516e62","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-10-01T02:00:12Z","title_canon_sha256":"266a468d59a40bffc9fc852672af7452e212d9cbdfd384e629ec34c4a17d2dd8"},"schema_version":"1.0","source":{"id":"1010.0050","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.0050","created_at":"2026-05-18T04:24:36Z"},{"alias_kind":"arxiv_version","alias_value":"1010.0050v2","created_at":"2026-05-18T04:24:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.0050","created_at":"2026-05-18T04:24:36Z"},{"alias_kind":"pith_short_12","alias_value":"PSG77A4QB2EL","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_16","alias_value":"PSG77A4QB2ELBG4B","created_at":"2026-05-18T12:26:12Z"},{"alias_kind":"pith_short_8","alias_value":"PSG77A4Q","created_at":"2026-05-18T12:26:12Z"}],"graph_snapshots":[{"event_id":"sha256:8e9c2b569dcf8cf8ccf4585308a2e0d5559c5f614a96baacf2c056c410e39601","target":"graph","created_at":"2026-05-18T04:24:36Z","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 solve the monomer-dimer problem on a non-bipartite lattice, the simple quartic lattice with cylindrical boundary conditions, with a single monomer residing on the boundary. Due to the non-bipartite nature of the lattice, the well-known method of a Temperley bijection of solving single-monomer problems cannot be used. In this paper we derive the solution by mapping the problem onto one on close-packed dimers on a related lattice. Finite-size analysis of the solution is carried out. We find from asymptotic expansions of the free energy that the central charge in the logarithmic conformal fiel","authors_text":"F. Y. Wu, N. Sh. Izmailian, Wen-Jer Tzeng","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-10-01T02:00:12Z","title":"Exact Solution of a Monomer-Dimer Problem: A Single Boundary Monomer on a Non-Bipartite Lattice"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.0050","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:c3cad1813fea0c2db063b09ab77559d38e171597ee536a7ec39df5a47c349377","target":"record","created_at":"2026-05-18T04:24:36Z","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":"a0cad7525896cd0ed90104a0295dea4583050c8f5adf4d430dfa15f619516e62","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-10-01T02:00:12Z","title_canon_sha256":"266a468d59a40bffc9fc852672af7452e212d9cbdfd384e629ec34c4a17d2dd8"},"schema_version":"1.0","source":{"id":"1010.0050","kind":"arxiv","version":2}},"canonical_sha256":"7c8dff83900e88b09b811787bc165bd94b0e6fef1b7b7532af974a150974d9b7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7c8dff83900e88b09b811787bc165bd94b0e6fef1b7b7532af974a150974d9b7","first_computed_at":"2026-05-18T04:24:36.218030Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:24:36.218030Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fi96awlJkrHy4vrR+ApL3kHs5uItePYrheob0TSVqvb1qYokXxMDzr90TclCYL5wWKck70p7lpYts/Sk87zIAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:24:36.218547Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.0050","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c3cad1813fea0c2db063b09ab77559d38e171597ee536a7ec39df5a47c349377","sha256:8e9c2b569dcf8cf8ccf4585308a2e0d5559c5f614a96baacf2c056c410e39601"],"state_sha256":"18437079be517798de19b03150ff812fabfdf0558726bcbcf0b2b8db7994cb45"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G72PUVOH1KF7jFpoGr8C8uje4O7T97KRmsKr55ieAFHF1cLbFTjzFKNNKGgkylkQxyEtTm9ZkRHk9Dybh3E6BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T22:55:39.965575Z","bundle_sha256":"7a6e54e6c1435504692cbe78911887c2b93172b323a8036ac37e3d4d6dae806c"}}