{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:CSEOVULEUTGZYJIJSOTCKKDM3N","short_pith_number":"pith:CSEOVULE","canonical_record":{"source":{"id":"1602.01240","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-02-03T09:52:31Z","cross_cats_sorted":[],"title_canon_sha256":"3182d85ae43268f2297adbde30dea0b332b6dc6e85e303bf98a78c00464523d7","abstract_canon_sha256":"3575e3a4e1850721c83a7dee5bc6515f6afee83729b4b7bc69a36a8cb80d673a"},"schema_version":"1.0"},"canonical_sha256":"1488ead164a4cd9c250993a625286cdb5eb508ef474a50cc34d502a58ce91f1d","source":{"kind":"arxiv","id":"1602.01240","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.01240","created_at":"2026-05-18T01:21:20Z"},{"alias_kind":"arxiv_version","alias_value":"1602.01240v1","created_at":"2026-05-18T01:21:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.01240","created_at":"2026-05-18T01:21:20Z"},{"alias_kind":"pith_short_12","alias_value":"CSEOVULEUTGZ","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CSEOVULEUTGZYJIJ","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CSEOVULE","created_at":"2026-05-18T12:30:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:CSEOVULEUTGZYJIJSOTCKKDM3N","target":"record","payload":{"canonical_record":{"source":{"id":"1602.01240","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-02-03T09:52:31Z","cross_cats_sorted":[],"title_canon_sha256":"3182d85ae43268f2297adbde30dea0b332b6dc6e85e303bf98a78c00464523d7","abstract_canon_sha256":"3575e3a4e1850721c83a7dee5bc6515f6afee83729b4b7bc69a36a8cb80d673a"},"schema_version":"1.0"},"canonical_sha256":"1488ead164a4cd9c250993a625286cdb5eb508ef474a50cc34d502a58ce91f1d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:20.734159Z","signature_b64":"LcHTn8HVEgq0uN5jecrmCDfM7BWLBBRXTwZoe7wN4ydIvN6x/CFCRP2+hrAI8XaXys5dziauQ37lynogH+ZdAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1488ead164a4cd9c250993a625286cdb5eb508ef474a50cc34d502a58ce91f1d","last_reissued_at":"2026-05-18T01:21:20.733654Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:20.733654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.01240","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":"2026-05-18T01:21:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DsjkUPNG+vg8M4N5JmhD1ogtKRyA915ab3iKeDhdsnXw5AX9ltkgdUnSxsubkfoRX9/Cod+MGLO5YcJktfD9DQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T11:23:13.376634Z"},"content_sha256":"3e1f62989bf68d14e21a10da154b7ea958c2aad7ede52884382518e0a506428e","schema_version":"1.0","event_id":"sha256:3e1f62989bf68d14e21a10da154b7ea958c2aad7ede52884382518e0a506428e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:CSEOVULEUTGZYJIJSOTCKKDM3N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the apparent failure of the topological theory of phase transitions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Marco Pettini, Matteo Gori, Roberto Franzosi","submitted_at":"2016-02-03T09:52:31Z","abstract_excerpt":"The topological theory of phase transitions has its strong point in two theorems proving that, for a wide class of physical systems, phase transitions necessarily stem from topological changes of some submanifolds of configuration space. It has been recently argued that the $2D$ lattice $\\phi^4$-model provides a counterexample that falsifies this theory. It is here shown that this is not the case: the phase transition of this model stems from an asymptotic ($N\\to\\infty$) change of topology of the energy level sets, in spite of the absence of critical points of the potential in correspondence o"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.01240","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":"2026-05-18T01:21:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"82utGxYNfEF2+5/2HfDxm8Qz7woPCVswqRWG9Z/rKwlmSG7uEt5/O2+7FIsuDBiXlN2NnF7SO+ZhmXwne7UZCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T11:23:13.376975Z"},"content_sha256":"82f3824ad05bc72db5ad8c5875b404595033ebd1368913a25880b5a1abd7b6ee","schema_version":"1.0","event_id":"sha256:82f3824ad05bc72db5ad8c5875b404595033ebd1368913a25880b5a1abd7b6ee"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/CSEOVULEUTGZYJIJSOTCKKDM3N/bundle.json","state_url":"https://pith.science/pith/CSEOVULEUTGZYJIJSOTCKKDM3N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/CSEOVULEUTGZYJIJSOTCKKDM3N/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":"2026-05-28T11:23:13Z","links":{"resolver":"https://pith.science/pith/CSEOVULEUTGZYJIJSOTCKKDM3N","bundle":"https://pith.science/pith/CSEOVULEUTGZYJIJSOTCKKDM3N/bundle.json","state":"https://pith.science/pith/CSEOVULEUTGZYJIJSOTCKKDM3N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/CSEOVULEUTGZYJIJSOTCKKDM3N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:CSEOVULEUTGZYJIJSOTCKKDM3N","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":"3575e3a4e1850721c83a7dee5bc6515f6afee83729b4b7bc69a36a8cb80d673a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-02-03T09:52:31Z","title_canon_sha256":"3182d85ae43268f2297adbde30dea0b332b6dc6e85e303bf98a78c00464523d7"},"schema_version":"1.0","source":{"id":"1602.01240","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.01240","created_at":"2026-05-18T01:21:20Z"},{"alias_kind":"arxiv_version","alias_value":"1602.01240v1","created_at":"2026-05-18T01:21:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.01240","created_at":"2026-05-18T01:21:20Z"},{"alias_kind":"pith_short_12","alias_value":"CSEOVULEUTGZ","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_16","alias_value":"CSEOVULEUTGZYJIJ","created_at":"2026-05-18T12:30:09Z"},{"alias_kind":"pith_short_8","alias_value":"CSEOVULE","created_at":"2026-05-18T12:30:09Z"}],"graph_snapshots":[{"event_id":"sha256:82f3824ad05bc72db5ad8c5875b404595033ebd1368913a25880b5a1abd7b6ee","target":"graph","created_at":"2026-05-18T01:21:20Z","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":"The topological theory of phase transitions has its strong point in two theorems proving that, for a wide class of physical systems, phase transitions necessarily stem from topological changes of some submanifolds of configuration space. It has been recently argued that the $2D$ lattice $\\phi^4$-model provides a counterexample that falsifies this theory. It is here shown that this is not the case: the phase transition of this model stems from an asymptotic ($N\\to\\infty$) change of topology of the energy level sets, in spite of the absence of critical points of the potential in correspondence o","authors_text":"Marco Pettini, Matteo Gori, Roberto Franzosi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-02-03T09:52:31Z","title":"On the apparent failure of the topological theory of phase transitions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.01240","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":"sha256:3e1f62989bf68d14e21a10da154b7ea958c2aad7ede52884382518e0a506428e","target":"record","created_at":"2026-05-18T01:21:20Z","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":"3575e3a4e1850721c83a7dee5bc6515f6afee83729b4b7bc69a36a8cb80d673a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2016-02-03T09:52:31Z","title_canon_sha256":"3182d85ae43268f2297adbde30dea0b332b6dc6e85e303bf98a78c00464523d7"},"schema_version":"1.0","source":{"id":"1602.01240","kind":"arxiv","version":1}},"canonical_sha256":"1488ead164a4cd9c250993a625286cdb5eb508ef474a50cc34d502a58ce91f1d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1488ead164a4cd9c250993a625286cdb5eb508ef474a50cc34d502a58ce91f1d","first_computed_at":"2026-05-18T01:21:20.733654Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:20.733654Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"LcHTn8HVEgq0uN5jecrmCDfM7BWLBBRXTwZoe7wN4ydIvN6x/CFCRP2+hrAI8XaXys5dziauQ37lynogH+ZdAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:20.734159Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.01240","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3e1f62989bf68d14e21a10da154b7ea958c2aad7ede52884382518e0a506428e","sha256:82f3824ad05bc72db5ad8c5875b404595033ebd1368913a25880b5a1abd7b6ee"],"state_sha256":"e866d4b497633573a0ae5ee14608d46bbf53012f2c5afef1b0e361aa03b791c6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wJTerEzu9fVps/RkoNsCSvxHvznMSuIOo7SKpvZambXYxasq8JAv62QaJYaddHs4nQh3g+IsSX2+EQSgEkULDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T11:23:13.378921Z","bundle_sha256":"47850e373f454fe1f3a511cd225f50a6b3d0830e16b423d06a4bdd4b07bc998f"}}