{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:SWIOMM2XYWRRJTD3LK42FFXX5K","short_pith_number":"pith:SWIOMM2X","canonical_record":{"source":{"id":"1407.7966","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-07-30T08:22:46Z","cross_cats_sorted":[],"title_canon_sha256":"e950f1f3163f8579d73d2bd690cacce04af2b230b9b27b487f35187eac740415","abstract_canon_sha256":"3f82026a34fd60ade7984069f73ae6e683cb6e2a5f59094b2714245a4792f1ea"},"schema_version":"1.0"},"canonical_sha256":"9590e63357c5a314cc7b5ab9a296f7ea8fd850711169c92e8326c752e0475e7d","source":{"kind":"arxiv","id":"1407.7966","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.7966","created_at":"2026-05-18T01:36:15Z"},{"alias_kind":"arxiv_version","alias_value":"1407.7966v1","created_at":"2026-05-18T01:36:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.7966","created_at":"2026-05-18T01:36:15Z"},{"alias_kind":"pith_short_12","alias_value":"SWIOMM2XYWRR","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"SWIOMM2XYWRRJTD3","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"SWIOMM2X","created_at":"2026-05-18T12:28:49Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:SWIOMM2XYWRRJTD3LK42FFXX5K","target":"record","payload":{"canonical_record":{"source":{"id":"1407.7966","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-07-30T08:22:46Z","cross_cats_sorted":[],"title_canon_sha256":"e950f1f3163f8579d73d2bd690cacce04af2b230b9b27b487f35187eac740415","abstract_canon_sha256":"3f82026a34fd60ade7984069f73ae6e683cb6e2a5f59094b2714245a4792f1ea"},"schema_version":"1.0"},"canonical_sha256":"9590e63357c5a314cc7b5ab9a296f7ea8fd850711169c92e8326c752e0475e7d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:36:15.524299Z","signature_b64":"s4PJBeWaBXsWoOerSMr5mAC+rlbxX9r5dAl7LlUdWwGDRkwDR05Kiy5arobZV+256meWHjdgOJoa3IPh9JC6AQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9590e63357c5a314cc7b5ab9a296f7ea8fd850711169c92e8326c752e0475e7d","last_reissued_at":"2026-05-18T01:36:15.523803Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:36:15.523803Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.7966","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":"2026-05-18T01:36:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MzTWhlulfKyRN//i7QzBDKBX0aKKNPqG+Xt9rMzhE5SKSYFSz+GSJM6XC4T7p1yvRzNEvXBzvRrwMFfQ5JzMCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T09:59:19.454098Z"},"content_sha256":"56ad7e1bf96d97c27be755ffbc0c8e394a9f583e2f8b16b8644b99aca72c7802","schema_version":"1.0","event_id":"sha256:56ad7e1bf96d97c27be755ffbc0c8e394a9f583e2f8b16b8644b99aca72c7802"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:SWIOMM2XYWRRJTD3LK42FFXX5K","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Critical energy density of O$(n)$ models in $d=3$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Andrea Trombettoni, Lapo Casetti, Rachele Nerattini","submitted_at":"2014-07-30T08:22:46Z","abstract_excerpt":"A relation between O$(n)$ models and Ising models has been recently conjectured [L. Casetti, C. Nardini, and R. Nerattini, Phys. Rev. Lett. 106, 057208 (2011)]. Such a relation, inspired by an energy landscape analysis, implies that the microcanonical density of states of an O$(n)$ spin model on a lattice can be effectively approximated in terms of the density of states of an Ising model defined on the same lattice and with the same interactions. Were this relation exact, it would imply that the critical energy densities of all the O$(n)$ models (i.e., the average values per spin of the O$(n)$"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.7966","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":"2026-05-18T01:36:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yFBhyDX1KzucwiCCSa5HDrYIrI5Mq+mkywbWTSlh2tu78DfqwF8p8CFtGquTqEBtGNHML3UQOiG426t45/gkAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T09:59:19.454810Z"},"content_sha256":"f4e8a6e704a0ceac4045c86d0a4d11487e2f108906344db87e8525d88455a8c6","schema_version":"1.0","event_id":"sha256:f4e8a6e704a0ceac4045c86d0a4d11487e2f108906344db87e8525d88455a8c6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SWIOMM2XYWRRJTD3LK42FFXX5K/bundle.json","state_url":"https://pith.science/pith/SWIOMM2XYWRRJTD3LK42FFXX5K/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SWIOMM2XYWRRJTD3LK42FFXX5K/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":"2026-05-26T09:59:19Z","links":{"resolver":"https://pith.science/pith/SWIOMM2XYWRRJTD3LK42FFXX5K","bundle":"https://pith.science/pith/SWIOMM2XYWRRJTD3LK42FFXX5K/bundle.json","state":"https://pith.science/pith/SWIOMM2XYWRRJTD3LK42FFXX5K/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SWIOMM2XYWRRJTD3LK42FFXX5K/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:SWIOMM2XYWRRJTD3LK42FFXX5K","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":"3f82026a34fd60ade7984069f73ae6e683cb6e2a5f59094b2714245a4792f1ea","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-07-30T08:22:46Z","title_canon_sha256":"e950f1f3163f8579d73d2bd690cacce04af2b230b9b27b487f35187eac740415"},"schema_version":"1.0","source":{"id":"1407.7966","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.7966","created_at":"2026-05-18T01:36:15Z"},{"alias_kind":"arxiv_version","alias_value":"1407.7966v1","created_at":"2026-05-18T01:36:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.7966","created_at":"2026-05-18T01:36:15Z"},{"alias_kind":"pith_short_12","alias_value":"SWIOMM2XYWRR","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_16","alias_value":"SWIOMM2XYWRRJTD3","created_at":"2026-05-18T12:28:49Z"},{"alias_kind":"pith_short_8","alias_value":"SWIOMM2X","created_at":"2026-05-18T12:28:49Z"}],"graph_snapshots":[{"event_id":"sha256:f4e8a6e704a0ceac4045c86d0a4d11487e2f108906344db87e8525d88455a8c6","target":"graph","created_at":"2026-05-18T01:36:15Z","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":"A relation between O$(n)$ models and Ising models has been recently conjectured [L. Casetti, C. Nardini, and R. Nerattini, Phys. Rev. Lett. 106, 057208 (2011)]. Such a relation, inspired by an energy landscape analysis, implies that the microcanonical density of states of an O$(n)$ spin model on a lattice can be effectively approximated in terms of the density of states of an Ising model defined on the same lattice and with the same interactions. Were this relation exact, it would imply that the critical energy densities of all the O$(n)$ models (i.e., the average values per spin of the O$(n)$","authors_text":"Andrea Trombettoni, Lapo Casetti, Rachele Nerattini","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-07-30T08:22:46Z","title":"Critical energy density of O$(n)$ models in $d=3$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.7966","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":"sha256:56ad7e1bf96d97c27be755ffbc0c8e394a9f583e2f8b16b8644b99aca72c7802","target":"record","created_at":"2026-05-18T01:36:15Z","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":"3f82026a34fd60ade7984069f73ae6e683cb6e2a5f59094b2714245a4792f1ea","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2014-07-30T08:22:46Z","title_canon_sha256":"e950f1f3163f8579d73d2bd690cacce04af2b230b9b27b487f35187eac740415"},"schema_version":"1.0","source":{"id":"1407.7966","kind":"arxiv","version":1}},"canonical_sha256":"9590e63357c5a314cc7b5ab9a296f7ea8fd850711169c92e8326c752e0475e7d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9590e63357c5a314cc7b5ab9a296f7ea8fd850711169c92e8326c752e0475e7d","first_computed_at":"2026-05-18T01:36:15.523803Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:36:15.523803Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s4PJBeWaBXsWoOerSMr5mAC+rlbxX9r5dAl7LlUdWwGDRkwDR05Kiy5arobZV+256meWHjdgOJoa3IPh9JC6AQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:36:15.524299Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.7966","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:56ad7e1bf96d97c27be755ffbc0c8e394a9f583e2f8b16b8644b99aca72c7802","sha256:f4e8a6e704a0ceac4045c86d0a4d11487e2f108906344db87e8525d88455a8c6"],"state_sha256":"2e70288c8e719905518d7d307001fab3855e48c2093c255951ec5f571b188237"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j7lTtPXr25C2emIov7FmZZvijRjKNqud0Bsbrxd+TApZ9v4bF5fbYWqnRAbiEjZz4TjtxgGIocsSU8jXsfZODg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T09:59:19.458178Z","bundle_sha256":"2befe6876cd2d9de27c264635c0beacc878902c2856ad12905cb56bfd6bd5ced"}}