{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2006:DJLZRAFE4HE6GB3LH4B26WOS5D","short_pith_number":"pith:DJLZRAFE","canonical_record":{"source":{"id":"cond-mat/0607673","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-07-26T09:21:55Z","cross_cats_sorted":[],"title_canon_sha256":"4359c5a08bc1746cc750f49ae2176ea23bbf894cf9e40af4c8bb0130ba67d7cc","abstract_canon_sha256":"27b088fbcaca29fb3281cae2c655c029e4dfea0e934ea33becfcb4ca1ba0db04"},"schema_version":"1.0"},"canonical_sha256":"1a579880a4e1c9e3076b3f03af59d2e8dafa3d30cb0d7a338106463abdc77f29","source":{"kind":"arxiv","id":"cond-mat/0607673","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0607673","created_at":"2026-05-18T01:39:44Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0607673v1","created_at":"2026-05-18T01:39:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0607673","created_at":"2026-05-18T01:39:44Z"},{"alias_kind":"pith_short_12","alias_value":"DJLZRAFE4HE6","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"DJLZRAFE4HE6GB3L","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"DJLZRAFE","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2006:DJLZRAFE4HE6GB3LH4B26WOS5D","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0607673","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-07-26T09:21:55Z","cross_cats_sorted":[],"title_canon_sha256":"4359c5a08bc1746cc750f49ae2176ea23bbf894cf9e40af4c8bb0130ba67d7cc","abstract_canon_sha256":"27b088fbcaca29fb3281cae2c655c029e4dfea0e934ea33becfcb4ca1ba0db04"},"schema_version":"1.0"},"canonical_sha256":"1a579880a4e1c9e3076b3f03af59d2e8dafa3d30cb0d7a338106463abdc77f29","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:39:44.642080Z","signature_b64":"V8iXq3Dqd0lyCXO9PUMUUUB9hHODFC9w9ICSt8ErkheCthtdGz4qgzjZVWa8q4qnxxwzctN1itvRn3CRS35SDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1a579880a4e1c9e3076b3f03af59d2e8dafa3d30cb0d7a338106463abdc77f29","last_reissued_at":"2026-05-18T01:39:44.641475Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:39:44.641475Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0607673","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":"2026-05-18T01:39:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KIHXbuZztWBa+5z4n2kYrN7yn9piurDlhbaXAXEPDBWazvCD/mumA47xsFzpt8mPnNGxU5KKGHoqrfIT3Rw9Bg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T08:26:10.162462Z"},"content_sha256":"5758b11f2d8cb2f5f158ad680be7f793c355b2d4fbd9c1b69cbb611f625c562d","schema_version":"1.0","event_id":"sha256:5758b11f2d8cb2f5f158ad680be7f793c355b2d4fbd9c1b69cbb611f625c562d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2006:DJLZRAFE4HE6GB3LH4B26WOS5D","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Role of an intermediate state in homogeneous nucleation","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Ayumu Sugita, Katsuhiro Nakamura, Takaaki Monnai","submitted_at":"2006-07-26T09:21:55Z","abstract_excerpt":"We explore the role of an intermediate state (phase) in homogeneous nucleation phenomenon by examining the decay process through a doubly-humped potential barrier. As a generic model we use the fourth- and sixth-order Landau potentials and analyze the Fokker-Planck equation for the one-dimensional thermal diffusion in the system characterized by a triple-well potential. In the low temperature case we apply the WKB method to the decay process and obtain the decay rate which is accurate for a wide range of depth and curvature of the middle well. In the case of a deep middle well, it reduces to a"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0607673","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":"2026-05-18T01:39:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UXDf8puf4p3yivU48P5PAt64IKdmk1s7p7RyLaUUZARnWgZ4e4pJxLZVwEgUv3yDPTiA+ceXBNHufFXianrZDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T08:26:10.163157Z"},"content_sha256":"3cf52bffcf2a412856fda032881e496bfd1009326cd488a6aee6785c2bca35ad","schema_version":"1.0","event_id":"sha256:3cf52bffcf2a412856fda032881e496bfd1009326cd488a6aee6785c2bca35ad"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DJLZRAFE4HE6GB3LH4B26WOS5D/bundle.json","state_url":"https://pith.science/pith/DJLZRAFE4HE6GB3LH4B26WOS5D/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DJLZRAFE4HE6GB3LH4B26WOS5D/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":"2026-06-06T08:26:10Z","links":{"resolver":"https://pith.science/pith/DJLZRAFE4HE6GB3LH4B26WOS5D","bundle":"https://pith.science/pith/DJLZRAFE4HE6GB3LH4B26WOS5D/bundle.json","state":"https://pith.science/pith/DJLZRAFE4HE6GB3LH4B26WOS5D/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DJLZRAFE4HE6GB3LH4B26WOS5D/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2006:DJLZRAFE4HE6GB3LH4B26WOS5D","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":"27b088fbcaca29fb3281cae2c655c029e4dfea0e934ea33becfcb4ca1ba0db04","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-07-26T09:21:55Z","title_canon_sha256":"4359c5a08bc1746cc750f49ae2176ea23bbf894cf9e40af4c8bb0130ba67d7cc"},"schema_version":"1.0","source":{"id":"cond-mat/0607673","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0607673","created_at":"2026-05-18T01:39:44Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0607673v1","created_at":"2026-05-18T01:39:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0607673","created_at":"2026-05-18T01:39:44Z"},{"alias_kind":"pith_short_12","alias_value":"DJLZRAFE4HE6","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"DJLZRAFE4HE6GB3L","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"DJLZRAFE","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:3cf52bffcf2a412856fda032881e496bfd1009326cd488a6aee6785c2bca35ad","target":"graph","created_at":"2026-05-18T01:39:44Z","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":"We explore the role of an intermediate state (phase) in homogeneous nucleation phenomenon by examining the decay process through a doubly-humped potential barrier. As a generic model we use the fourth- and sixth-order Landau potentials and analyze the Fokker-Planck equation for the one-dimensional thermal diffusion in the system characterized by a triple-well potential. In the low temperature case we apply the WKB method to the decay process and obtain the decay rate which is accurate for a wide range of depth and curvature of the middle well. In the case of a deep middle well, it reduces to a","authors_text":"Ayumu Sugita, Katsuhiro Nakamura, Takaaki Monnai","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-07-26T09:21:55Z","title":"Role of an intermediate state in homogeneous nucleation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0607673","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":"sha256:5758b11f2d8cb2f5f158ad680be7f793c355b2d4fbd9c1b69cbb611f625c562d","target":"record","created_at":"2026-05-18T01:39:44Z","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":"27b088fbcaca29fb3281cae2c655c029e4dfea0e934ea33becfcb4ca1ba0db04","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2006-07-26T09:21:55Z","title_canon_sha256":"4359c5a08bc1746cc750f49ae2176ea23bbf894cf9e40af4c8bb0130ba67d7cc"},"schema_version":"1.0","source":{"id":"cond-mat/0607673","kind":"arxiv","version":1}},"canonical_sha256":"1a579880a4e1c9e3076b3f03af59d2e8dafa3d30cb0d7a338106463abdc77f29","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1a579880a4e1c9e3076b3f03af59d2e8dafa3d30cb0d7a338106463abdc77f29","first_computed_at":"2026-05-18T01:39:44.641475Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:39:44.641475Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"V8iXq3Dqd0lyCXO9PUMUUUB9hHODFC9w9ICSt8ErkheCthtdGz4qgzjZVWa8q4qnxxwzctN1itvRn3CRS35SDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:39:44.642080Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0607673","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5758b11f2d8cb2f5f158ad680be7f793c355b2d4fbd9c1b69cbb611f625c562d","sha256:3cf52bffcf2a412856fda032881e496bfd1009326cd488a6aee6785c2bca35ad"],"state_sha256":"6cc6b6bc0dddb359a8ef867c0fa2c93aaae337066097c970517a592ae9a444bc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b89MtC3Nk1E8Qc+evVTlCtGPblKbgy23oKSqfnIT0y5WMXzTUW7DEDInmnEYxNgge7+ax5Pd0Q1D7c1ZSianDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T08:26:10.167102Z","bundle_sha256":"4e465ee769ae893797037a4668d61c497d1ec6e6b5c00b2af4e1247ad642427f"}}