{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:F7KL7CJB4IPUNCYBMPMK2PTMII","short_pith_number":"pith:F7KL7CJB","canonical_record":{"source":{"id":"1308.6740","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2013-08-29T17:08:09Z","cross_cats_sorted":[],"title_canon_sha256":"c59a9a4ab1d06d6f9e18157aa80fb9bf0da77fde3c991371a13e2113d8b0c240","abstract_canon_sha256":"c9c6c8d93ee429d83c5bebb4f52f0d75c277fd131aaea273b26c57db090038ad"},"schema_version":"1.0"},"canonical_sha256":"2fd4bf8921e21f468b0163d8ad3e6c421b3c98f20a04925f8ce0255e0a137e3f","source":{"kind":"arxiv","id":"1308.6740","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.6740","created_at":"2026-05-18T03:12:21Z"},{"alias_kind":"arxiv_version","alias_value":"1308.6740v2","created_at":"2026-05-18T03:12:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.6740","created_at":"2026-05-18T03:12:21Z"},{"alias_kind":"pith_short_12","alias_value":"F7KL7CJB4IPU","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"F7KL7CJB4IPUNCYB","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"F7KL7CJB","created_at":"2026-05-18T12:27:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:F7KL7CJB4IPUNCYBMPMK2PTMII","target":"record","payload":{"canonical_record":{"source":{"id":"1308.6740","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2013-08-29T17:08:09Z","cross_cats_sorted":[],"title_canon_sha256":"c59a9a4ab1d06d6f9e18157aa80fb9bf0da77fde3c991371a13e2113d8b0c240","abstract_canon_sha256":"c9c6c8d93ee429d83c5bebb4f52f0d75c277fd131aaea273b26c57db090038ad"},"schema_version":"1.0"},"canonical_sha256":"2fd4bf8921e21f468b0163d8ad3e6c421b3c98f20a04925f8ce0255e0a137e3f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:12:21.815987Z","signature_b64":"Ez22G4Izl9m9LLBo9qNQhzg6+f4lcTUddLeNzeBbxW8t8dwcqbd/UqgksnKF/+CSD4eIFrgutCBanouNsHh2DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2fd4bf8921e21f468b0163d8ad3e6c421b3c98f20a04925f8ce0255e0a137e3f","last_reissued_at":"2026-05-18T03:12:21.814913Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:12:21.814913Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1308.6740","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":"2026-05-18T03:12:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tmZqTb6BrZz5aHTxl2Kj69EjuBsJLXnYSA2iJiiNb6FiAgbW4pCDEx7y5UvUn2mCNAXDHTTzXF5hpsZEECuoAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T23:02:43.789540Z"},"content_sha256":"ce95828dde882a9febe75736ce414ed5980ec799a3825fffea366456ee57e573","schema_version":"1.0","event_id":"sha256:ce95828dde882a9febe75736ce414ed5980ec799a3825fffea366456ee57e573"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:F7KL7CJB4IPUNCYBMPMK2PTMII","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Legendre symmetry and first order phase transitions of homogeneous systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"A. Bravetti, C. S. Lopez-Monsalvo, F. Nettel","submitted_at":"2013-08-29T17:08:09Z","abstract_excerpt":"In this work we give a characterisation of first order phase transitions as equilibrium processes on the thermodynamic phase space for which the Legendre symmetry is broken. Furthermore, we consider generalised theories of thermodynamics, where the potential is a homogeneous function of any order $\\beta$ and we propose a (contact) Hamiltonian formulation of equilibrium processes. Indeed we prove that equilibrium corresponds to the zeroth levels of such function. Using these results we infer that the description in equilibrium of first order phase transitions is possible only when the potential"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.6740","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":"2026-05-18T03:12:21Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xFg+PRuwJwpw0zeFT+3gdfYv3sxcaBtdi/8GjZkmnuZRnk1o51e18H8y2xDPStjQoafQqBEzB2NW2lcER256Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T23:02:43.790295Z"},"content_sha256":"ea0b0d52b6d71be02eaaf4b76a97d51642a4d842b5af8dd1ff885eaa8039a036","schema_version":"1.0","event_id":"sha256:ea0b0d52b6d71be02eaaf4b76a97d51642a4d842b5af8dd1ff885eaa8039a036"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F7KL7CJB4IPUNCYBMPMK2PTMII/bundle.json","state_url":"https://pith.science/pith/F7KL7CJB4IPUNCYBMPMK2PTMII/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F7KL7CJB4IPUNCYBMPMK2PTMII/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":"2026-06-11T23:02:43Z","links":{"resolver":"https://pith.science/pith/F7KL7CJB4IPUNCYBMPMK2PTMII","bundle":"https://pith.science/pith/F7KL7CJB4IPUNCYBMPMK2PTMII/bundle.json","state":"https://pith.science/pith/F7KL7CJB4IPUNCYBMPMK2PTMII/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F7KL7CJB4IPUNCYBMPMK2PTMII/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:F7KL7CJB4IPUNCYBMPMK2PTMII","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":"c9c6c8d93ee429d83c5bebb4f52f0d75c277fd131aaea273b26c57db090038ad","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2013-08-29T17:08:09Z","title_canon_sha256":"c59a9a4ab1d06d6f9e18157aa80fb9bf0da77fde3c991371a13e2113d8b0c240"},"schema_version":"1.0","source":{"id":"1308.6740","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1308.6740","created_at":"2026-05-18T03:12:21Z"},{"alias_kind":"arxiv_version","alias_value":"1308.6740v2","created_at":"2026-05-18T03:12:21Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1308.6740","created_at":"2026-05-18T03:12:21Z"},{"alias_kind":"pith_short_12","alias_value":"F7KL7CJB4IPU","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"F7KL7CJB4IPUNCYB","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"F7KL7CJB","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:ea0b0d52b6d71be02eaaf4b76a97d51642a4d842b5af8dd1ff885eaa8039a036","target":"graph","created_at":"2026-05-18T03:12:21Z","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 this work we give a characterisation of first order phase transitions as equilibrium processes on the thermodynamic phase space for which the Legendre symmetry is broken. Furthermore, we consider generalised theories of thermodynamics, where the potential is a homogeneous function of any order $\\beta$ and we propose a (contact) Hamiltonian formulation of equilibrium processes. Indeed we prove that equilibrium corresponds to the zeroth levels of such function. Using these results we infer that the description in equilibrium of first order phase transitions is possible only when the potential","authors_text":"A. Bravetti, C. S. Lopez-Monsalvo, F. Nettel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2013-08-29T17:08:09Z","title":"Legendre symmetry and first order phase transitions of homogeneous systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1308.6740","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:ce95828dde882a9febe75736ce414ed5980ec799a3825fffea366456ee57e573","target":"record","created_at":"2026-05-18T03:12:21Z","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":"c9c6c8d93ee429d83c5bebb4f52f0d75c277fd131aaea273b26c57db090038ad","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2013-08-29T17:08:09Z","title_canon_sha256":"c59a9a4ab1d06d6f9e18157aa80fb9bf0da77fde3c991371a13e2113d8b0c240"},"schema_version":"1.0","source":{"id":"1308.6740","kind":"arxiv","version":2}},"canonical_sha256":"2fd4bf8921e21f468b0163d8ad3e6c421b3c98f20a04925f8ce0255e0a137e3f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2fd4bf8921e21f468b0163d8ad3e6c421b3c98f20a04925f8ce0255e0a137e3f","first_computed_at":"2026-05-18T03:12:21.814913Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:12:21.814913Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ez22G4Izl9m9LLBo9qNQhzg6+f4lcTUddLeNzeBbxW8t8dwcqbd/UqgksnKF/+CSD4eIFrgutCBanouNsHh2DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:12:21.815987Z","signed_message":"canonical_sha256_bytes"},"source_id":"1308.6740","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ce95828dde882a9febe75736ce414ed5980ec799a3825fffea366456ee57e573","sha256:ea0b0d52b6d71be02eaaf4b76a97d51642a4d842b5af8dd1ff885eaa8039a036"],"state_sha256":"722932c6a909d62ae42b79b8298a22333bc2d31939261dde307782e44d9cc0fc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Uv1+WlyHlzJrWAmjj1xsoTstyvnf+aYW00adfxZkpWWwiUvPiA8ZHKnqJpP+cYFO3fAvQ8Sco563gP6n4/YWCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T23:02:43.794299Z","bundle_sha256":"ae0e1a5f67d69702934e9e1b464e3366f08533f029bd9050c3a246f235ff2d7e"}}