{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:THEIHSOXVYBCN7CSNI7DONCRUK","short_pith_number":"pith:THEIHSOX","canonical_record":{"source":{"id":"1710.11422","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-10-31T12:12:47Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"d76ae940ff8f64411a5d570421ee8a58bc386d15c37d28962c0c2b4ff6153f38","abstract_canon_sha256":"3cef1c06eb192e7ae43a81636bcf1609937cbb444899d4b2030274ef1a4ff63e"},"schema_version":"1.0"},"canonical_sha256":"99c883c9d7ae0226fc526a3e373451a284262a22133b5d0340d32060a086afe1","source":{"kind":"arxiv","id":"1710.11422","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.11422","created_at":"2026-05-18T00:31:37Z"},{"alias_kind":"arxiv_version","alias_value":"1710.11422v1","created_at":"2026-05-18T00:31:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.11422","created_at":"2026-05-18T00:31:37Z"},{"alias_kind":"pith_short_12","alias_value":"THEIHSOXVYBC","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"THEIHSOXVYBCN7CS","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"THEIHSOX","created_at":"2026-05-18T12:31:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:THEIHSOXVYBCN7CSNI7DONCRUK","target":"record","payload":{"canonical_record":{"source":{"id":"1710.11422","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-10-31T12:12:47Z","cross_cats_sorted":["math.CO"],"title_canon_sha256":"d76ae940ff8f64411a5d570421ee8a58bc386d15c37d28962c0c2b4ff6153f38","abstract_canon_sha256":"3cef1c06eb192e7ae43a81636bcf1609937cbb444899d4b2030274ef1a4ff63e"},"schema_version":"1.0"},"canonical_sha256":"99c883c9d7ae0226fc526a3e373451a284262a22133b5d0340d32060a086afe1","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:31:37.455778Z","signature_b64":"0knXar+YnT6fvwJX5/l8rAnpiYSnvhoPkzn9ZTpnxOvVmO4GFbFJYrPy3FndkQ7Q753wpEUvvFMFf0INYQnMAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"99c883c9d7ae0226fc526a3e373451a284262a22133b5d0340d32060a086afe1","last_reissued_at":"2026-05-18T00:31:37.455037Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:31:37.455037Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.11422","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:31:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jnMwE+eE3A22yfhonYR4mddOhALH1bcRvi5A6J/vDyd4YeNl1f0hlWQSVLYhy4vZkkV/igy4pgDid4ks5Y/LDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T19:58:40.821574Z"},"content_sha256":"df16338fcc4a28ddaf7ea8e6abd9cffeb7cccb02d8c53939bff17fdbc4dadd74","schema_version":"1.0","event_id":"sha256:df16338fcc4a28ddaf7ea8e6abd9cffeb7cccb02d8c53939bff17fdbc4dadd74"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:THEIHSOXVYBCN7CSNI7DONCRUK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Reconnecting statistical physics and combinatorics beyond ensemble equivalence","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.CO"],"primary_cat":"cond-mat.stat-mech","authors_text":"Diego Garlaschelli, Tiziano Squartini","submitted_at":"2017-10-31T12:12:47Z","abstract_excerpt":"In statistical physics, the challenging combinatorial enumeration of the configurations of a system subject to hard constraints (microcanonical ensemble) is mapped to a mathematically easier calculation where the constraints are softened (canonical ensemble). However, the mapping is exact only when the size of the system is infinite and if the property of ensemble equivalence (EE), i.e. the asymptotic identity of canonical and microcanonical large deviations, holds. For finite systems, or when EE breaks down, statistical physics is currently believed to provide no answer to the combinatorial p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.11422","kind":"arxiv","version":1},"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":"2026-05-18T00:31:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f72VgLx1yYnrHNUtJ2aM6Az/pt4R8Kq5N7Eu0QDD0G/FEVZV+dKfrlChrt5yP6rPqhY15D6IarDA/tyBsR1ODQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T19:58:40.821921Z"},"content_sha256":"d36cfe9385cdf8cb80bc1804373bca6f8b6f129f271bc6bfbd37ad0339476b35","schema_version":"1.0","event_id":"sha256:d36cfe9385cdf8cb80bc1804373bca6f8b6f129f271bc6bfbd37ad0339476b35"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/THEIHSOXVYBCN7CSNI7DONCRUK/bundle.json","state_url":"https://pith.science/pith/THEIHSOXVYBCN7CSNI7DONCRUK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/THEIHSOXVYBCN7CSNI7DONCRUK/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":"2026-05-22T19:58:40Z","links":{"resolver":"https://pith.science/pith/THEIHSOXVYBCN7CSNI7DONCRUK","bundle":"https://pith.science/pith/THEIHSOXVYBCN7CSNI7DONCRUK/bundle.json","state":"https://pith.science/pith/THEIHSOXVYBCN7CSNI7DONCRUK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/THEIHSOXVYBCN7CSNI7DONCRUK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:THEIHSOXVYBCN7CSNI7DONCRUK","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":"3cef1c06eb192e7ae43a81636bcf1609937cbb444899d4b2030274ef1a4ff63e","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-10-31T12:12:47Z","title_canon_sha256":"d76ae940ff8f64411a5d570421ee8a58bc386d15c37d28962c0c2b4ff6153f38"},"schema_version":"1.0","source":{"id":"1710.11422","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.11422","created_at":"2026-05-18T00:31:37Z"},{"alias_kind":"arxiv_version","alias_value":"1710.11422v1","created_at":"2026-05-18T00:31:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.11422","created_at":"2026-05-18T00:31:37Z"},{"alias_kind":"pith_short_12","alias_value":"THEIHSOXVYBC","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_16","alias_value":"THEIHSOXVYBCN7CS","created_at":"2026-05-18T12:31:46Z"},{"alias_kind":"pith_short_8","alias_value":"THEIHSOX","created_at":"2026-05-18T12:31:46Z"}],"graph_snapshots":[{"event_id":"sha256:d36cfe9385cdf8cb80bc1804373bca6f8b6f129f271bc6bfbd37ad0339476b35","target":"graph","created_at":"2026-05-18T00:31:37Z","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":"In statistical physics, the challenging combinatorial enumeration of the configurations of a system subject to hard constraints (microcanonical ensemble) is mapped to a mathematically easier calculation where the constraints are softened (canonical ensemble). However, the mapping is exact only when the size of the system is infinite and if the property of ensemble equivalence (EE), i.e. the asymptotic identity of canonical and microcanonical large deviations, holds. For finite systems, or when EE breaks down, statistical physics is currently believed to provide no answer to the combinatorial p","authors_text":"Diego Garlaschelli, Tiziano Squartini","cross_cats":["math.CO"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-10-31T12:12:47Z","title":"Reconnecting statistical physics and combinatorics beyond ensemble equivalence"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.11422","kind":"arxiv","version":1},"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:df16338fcc4a28ddaf7ea8e6abd9cffeb7cccb02d8c53939bff17fdbc4dadd74","target":"record","created_at":"2026-05-18T00:31:37Z","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":"3cef1c06eb192e7ae43a81636bcf1609937cbb444899d4b2030274ef1a4ff63e","cross_cats_sorted":["math.CO"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-10-31T12:12:47Z","title_canon_sha256":"d76ae940ff8f64411a5d570421ee8a58bc386d15c37d28962c0c2b4ff6153f38"},"schema_version":"1.0","source":{"id":"1710.11422","kind":"arxiv","version":1}},"canonical_sha256":"99c883c9d7ae0226fc526a3e373451a284262a22133b5d0340d32060a086afe1","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"99c883c9d7ae0226fc526a3e373451a284262a22133b5d0340d32060a086afe1","first_computed_at":"2026-05-18T00:31:37.455037Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:31:37.455037Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0knXar+YnT6fvwJX5/l8rAnpiYSnvhoPkzn9ZTpnxOvVmO4GFbFJYrPy3FndkQ7Q753wpEUvvFMFf0INYQnMAw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:31:37.455778Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.11422","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df16338fcc4a28ddaf7ea8e6abd9cffeb7cccb02d8c53939bff17fdbc4dadd74","sha256:d36cfe9385cdf8cb80bc1804373bca6f8b6f129f271bc6bfbd37ad0339476b35"],"state_sha256":"48797a0d93c7bdf643cadf3e152a3377ab5628e2bcf4c8152fbaab4a714ac6a4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/uwu8FGqCYY3Zyz5hWxvb/VpGqEeGttrleFYl0S2STIp0OFX3OamyHz1mgBlG4uAVHp2QR/uv5N/mQV4bMJtCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T19:58:40.823932Z","bundle_sha256":"ca74a6e966b53ea57311371643e77cffb974820cca140039694a8b2f1ecaa1e7"}}