{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:QT7XWLBPZTTJ2JTFE2C7YLT3H7","short_pith_number":"pith:QT7XWLBP","canonical_record":{"source":{"id":"1809.02243","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-09-06T22:40:25Z","cross_cats_sorted":[],"title_canon_sha256":"027721157ca7d1399bc9174665b75dce9e9e1572f80a64b9ae1cfe5227dc2efb","abstract_canon_sha256":"918f4f1d11420637c53bd6ebc3622a8056541d9b9c3bdb35635576871f24e5fb"},"schema_version":"1.0"},"canonical_sha256":"84ff7b2c2fcce69d26652685fc2e7b3fc9ab4784998f0d16068e8dcbb493eb4c","source":{"kind":"arxiv","id":"1809.02243","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.02243","created_at":"2026-05-17T23:50:24Z"},{"alias_kind":"arxiv_version","alias_value":"1809.02243v1","created_at":"2026-05-17T23:50:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.02243","created_at":"2026-05-17T23:50:24Z"},{"alias_kind":"pith_short_12","alias_value":"QT7XWLBPZTTJ","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QT7XWLBPZTTJ2JTF","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QT7XWLBP","created_at":"2026-05-18T12:32:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:QT7XWLBPZTTJ2JTFE2C7YLT3H7","target":"record","payload":{"canonical_record":{"source":{"id":"1809.02243","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-09-06T22:40:25Z","cross_cats_sorted":[],"title_canon_sha256":"027721157ca7d1399bc9174665b75dce9e9e1572f80a64b9ae1cfe5227dc2efb","abstract_canon_sha256":"918f4f1d11420637c53bd6ebc3622a8056541d9b9c3bdb35635576871f24e5fb"},"schema_version":"1.0"},"canonical_sha256":"84ff7b2c2fcce69d26652685fc2e7b3fc9ab4784998f0d16068e8dcbb493eb4c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:50:24.062204Z","signature_b64":"12MdPk4oB1RGXaquUnSsQOJ77ket+fJr+ZEIPnaClJRAF0lkEcXXj0ZIrjveN+dlPMrXiuF8nsfjv1sc3yDzAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"84ff7b2c2fcce69d26652685fc2e7b3fc9ab4784998f0d16068e8dcbb493eb4c","last_reissued_at":"2026-05-17T23:50:24.061674Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:50:24.061674Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1809.02243","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":"2026-05-17T23:50:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9OnmzP/wASB8vS86E3bxOwOiHibeVhki4txKqKUHBiSo9wTPfPGUeCcOxh8F7sM5Ns+RBDw5JRrwf0fZF9bHAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T02:13:56.959459Z"},"content_sha256":"ebbf6623786a76385bea2643c94b6d9d110462e2bd9358d472c860533a95255e","schema_version":"1.0","event_id":"sha256:ebbf6623786a76385bea2643c94b6d9d110462e2bd9358d472c860533a95255e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:QT7XWLBPZTTJ2JTFE2C7YLT3H7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nucleation for one-dimensional long-range Ising models","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Aenout C.D. van Enter, Bruno Kimura, Cristian Spitoni, Wioletta Ruszel","submitted_at":"2018-09-06T22:40:25Z","abstract_excerpt":"In this note we study metastability phenomena for a class of long-range Ising models in one-dimension. We prove that, under suitable general conditions, the configuration -1 is the only metastable state and we estimate the mean exit time. Moreover, we illustrate the theory with two examples (exponentially and polynomially decaying interaction) and we show that the critical droplet can be macroscopic or mesoscopic, according to the value of the external magnetic field."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.02243","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":"2026-05-17T23:50:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"d6nscGqn0zAVdGgtAcIXlYZbGr/tj2Ayp6O9bp8QSOPbaDViysIVlafXltgif4IDbhRQqFzo8XxnuoR63BCUAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T02:13:56.959795Z"},"content_sha256":"ff6e3b3e0d9bd257f0ae82248772eebb9eda6f9f7dc9bcc8e39015c4dd30fa48","schema_version":"1.0","event_id":"sha256:ff6e3b3e0d9bd257f0ae82248772eebb9eda6f9f7dc9bcc8e39015c4dd30fa48"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QT7XWLBPZTTJ2JTFE2C7YLT3H7/bundle.json","state_url":"https://pith.science/pith/QT7XWLBPZTTJ2JTFE2C7YLT3H7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QT7XWLBPZTTJ2JTFE2C7YLT3H7/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":"2026-06-22T02:13:56Z","links":{"resolver":"https://pith.science/pith/QT7XWLBPZTTJ2JTFE2C7YLT3H7","bundle":"https://pith.science/pith/QT7XWLBPZTTJ2JTFE2C7YLT3H7/bundle.json","state":"https://pith.science/pith/QT7XWLBPZTTJ2JTFE2C7YLT3H7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QT7XWLBPZTTJ2JTFE2C7YLT3H7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:QT7XWLBPZTTJ2JTFE2C7YLT3H7","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":"918f4f1d11420637c53bd6ebc3622a8056541d9b9c3bdb35635576871f24e5fb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-09-06T22:40:25Z","title_canon_sha256":"027721157ca7d1399bc9174665b75dce9e9e1572f80a64b9ae1cfe5227dc2efb"},"schema_version":"1.0","source":{"id":"1809.02243","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.02243","created_at":"2026-05-17T23:50:24Z"},{"alias_kind":"arxiv_version","alias_value":"1809.02243v1","created_at":"2026-05-17T23:50:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.02243","created_at":"2026-05-17T23:50:24Z"},{"alias_kind":"pith_short_12","alias_value":"QT7XWLBPZTTJ","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QT7XWLBPZTTJ2JTF","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QT7XWLBP","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:ff6e3b3e0d9bd257f0ae82248772eebb9eda6f9f7dc9bcc8e39015c4dd30fa48","target":"graph","created_at":"2026-05-17T23:50:24Z","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 note we study metastability phenomena for a class of long-range Ising models in one-dimension. We prove that, under suitable general conditions, the configuration -1 is the only metastable state and we estimate the mean exit time. Moreover, we illustrate the theory with two examples (exponentially and polynomially decaying interaction) and we show that the critical droplet can be macroscopic or mesoscopic, according to the value of the external magnetic field.","authors_text":"Aenout C.D. van Enter, Bruno Kimura, Cristian Spitoni, Wioletta Ruszel","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-09-06T22:40:25Z","title":"Nucleation for one-dimensional long-range Ising models"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.02243","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:ebbf6623786a76385bea2643c94b6d9d110462e2bd9358d472c860533a95255e","target":"record","created_at":"2026-05-17T23:50:24Z","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":"918f4f1d11420637c53bd6ebc3622a8056541d9b9c3bdb35635576871f24e5fb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2018-09-06T22:40:25Z","title_canon_sha256":"027721157ca7d1399bc9174665b75dce9e9e1572f80a64b9ae1cfe5227dc2efb"},"schema_version":"1.0","source":{"id":"1809.02243","kind":"arxiv","version":1}},"canonical_sha256":"84ff7b2c2fcce69d26652685fc2e7b3fc9ab4784998f0d16068e8dcbb493eb4c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"84ff7b2c2fcce69d26652685fc2e7b3fc9ab4784998f0d16068e8dcbb493eb4c","first_computed_at":"2026-05-17T23:50:24.061674Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:50:24.061674Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"12MdPk4oB1RGXaquUnSsQOJ77ket+fJr+ZEIPnaClJRAF0lkEcXXj0ZIrjveN+dlPMrXiuF8nsfjv1sc3yDzAg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:50:24.062204Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.02243","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ebbf6623786a76385bea2643c94b6d9d110462e2bd9358d472c860533a95255e","sha256:ff6e3b3e0d9bd257f0ae82248772eebb9eda6f9f7dc9bcc8e39015c4dd30fa48"],"state_sha256":"b3d110190680f201f84efd3685eb281e8f08cb4f86b64b8a4820d0f9baafa006"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OLIqS4H2gTYezRS9LHPil1tku6u0AasDntRnJ1UIzMuzY2xWZ9D/LJd6ze6HBWGX9egD6/3Vp/3ch660dNevAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T02:13:56.961837Z","bundle_sha256":"37f0cf25536ef446d60149d813c78f803f06f26ab5c824249dd063147d79c6d1"}}