{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:IKXJFNU7FRWCJMWFVX5Q3V7QR7","short_pith_number":"pith:IKXJFNU7","canonical_record":{"source":{"id":"cond-mat/0011238","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2000-11-14T10:22:07Z","cross_cats_sorted":[],"title_canon_sha256":"def211bf434212b9f1bc2d325fdff01f131f821ace472d9c1d3d87be9c38fde5","abstract_canon_sha256":"611da200be8e4e19da312f28c18b18dbb2b0c50dd90694e3edba5a5848f516a0"},"schema_version":"1.0"},"canonical_sha256":"42ae92b69f2c6c24b2c5adfb0dd7f08fcf0e38ea4a89a5cd76b1d3fea819ae14","source":{"kind":"arxiv","id":"cond-mat/0011238","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0011238","created_at":"2026-07-04T14:18:04Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0011238v2","created_at":"2026-07-04T14:18:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0011238","created_at":"2026-07-04T14:18:04Z"},{"alias_kind":"pith_short_12","alias_value":"IKXJFNU7FRWC","created_at":"2026-07-04T14:18:04Z"},{"alias_kind":"pith_short_16","alias_value":"IKXJFNU7FRWCJMWF","created_at":"2026-07-04T14:18:04Z"},{"alias_kind":"pith_short_8","alias_value":"IKXJFNU7","created_at":"2026-07-04T14:18:04Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:IKXJFNU7FRWCJMWFVX5Q3V7QR7","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0011238","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2000-11-14T10:22:07Z","cross_cats_sorted":[],"title_canon_sha256":"def211bf434212b9f1bc2d325fdff01f131f821ace472d9c1d3d87be9c38fde5","abstract_canon_sha256":"611da200be8e4e19da312f28c18b18dbb2b0c50dd90694e3edba5a5848f516a0"},"schema_version":"1.0"},"canonical_sha256":"42ae92b69f2c6c24b2c5adfb0dd7f08fcf0e38ea4a89a5cd76b1d3fea819ae14","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T14:18:04.082427Z","signature_b64":"OAauQe9w8o0WaOWVjnD7IKFcDwcXtySoJoA08tMhRKamGmzBWWgpVWDtyDAZYHG8ZGyt0nXTYQH9mvMEBHKvCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"42ae92b69f2c6c24b2c5adfb0dd7f08fcf0e38ea4a89a5cd76b1d3fea819ae14","last_reissued_at":"2026-07-04T14:18:04.081975Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T14:18:04.081975Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0011238","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":"2026-07-04T14:18:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b5/trMWizq2AsqHUaDZ2DQ+zUeFUVjoMD4bEH1X57FaaQtdbZNInZnLTMZvd6SYKJ9Y3nabTdeVSl0NvL9OvBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T05:10:11.278025Z"},"content_sha256":"6ea935f66c5691f2cfb4e004586ea4646a591cc4ef6736b8a528a05a53cadc56","schema_version":"1.0","event_id":"sha256:6ea935f66c5691f2cfb4e004586ea4646a591cc4ef6736b8a528a05a53cadc56"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:IKXJFNU7FRWCJMWFVX5Q3V7QR7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Non-linear growth of periodic patterns","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Christophe Josserand, Simon Villain-Guillot","submitted_at":"2000-11-14T10:22:07Z","abstract_excerpt":"We study the growth of a periodic pattern in one dimension for a model of spinodal decomposition, the Cahn-Hilliard equation. We particularly focus on the intermediate region, where the non-linearity cannot be negected anymore, and before the coalescence dominates. The dynamics is captured through the standard technique of a solubility condition performed over a particular family of quasi-static solutions. The main result is that the dynamics along this particular class of solutions can be expressed in terms of a simple ordinary differential equation. The density profile of the stationary regi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0011238","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/cond-mat/0011238/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T14:18:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QabTkhktg/4wHXpxJWljn40ctSQr5ComFKwoJVts98JcPPG68JH3xrIjzbW1Qt24eBNsc2OtuCBaZrQA5U50CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T05:10:11.278400Z"},"content_sha256":"2ed712dec1593492ba6eaa362e6cfbb2ca318ff2e82ef01b69168e1ec45d5d34","schema_version":"1.0","event_id":"sha256:2ed712dec1593492ba6eaa362e6cfbb2ca318ff2e82ef01b69168e1ec45d5d34"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IKXJFNU7FRWCJMWFVX5Q3V7QR7/bundle.json","state_url":"https://pith.science/pith/IKXJFNU7FRWCJMWFVX5Q3V7QR7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IKXJFNU7FRWCJMWFVX5Q3V7QR7/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":"2026-07-05T05:10:11Z","links":{"resolver":"https://pith.science/pith/IKXJFNU7FRWCJMWFVX5Q3V7QR7","bundle":"https://pith.science/pith/IKXJFNU7FRWCJMWFVX5Q3V7QR7/bundle.json","state":"https://pith.science/pith/IKXJFNU7FRWCJMWFVX5Q3V7QR7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IKXJFNU7FRWCJMWFVX5Q3V7QR7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:IKXJFNU7FRWCJMWFVX5Q3V7QR7","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":"611da200be8e4e19da312f28c18b18dbb2b0c50dd90694e3edba5a5848f516a0","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2000-11-14T10:22:07Z","title_canon_sha256":"def211bf434212b9f1bc2d325fdff01f131f821ace472d9c1d3d87be9c38fde5"},"schema_version":"1.0","source":{"id":"cond-mat/0011238","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0011238","created_at":"2026-07-04T14:18:04Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0011238v2","created_at":"2026-07-04T14:18:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0011238","created_at":"2026-07-04T14:18:04Z"},{"alias_kind":"pith_short_12","alias_value":"IKXJFNU7FRWC","created_at":"2026-07-04T14:18:04Z"},{"alias_kind":"pith_short_16","alias_value":"IKXJFNU7FRWCJMWF","created_at":"2026-07-04T14:18:04Z"},{"alias_kind":"pith_short_8","alias_value":"IKXJFNU7","created_at":"2026-07-04T14:18:04Z"}],"graph_snapshots":[{"event_id":"sha256:2ed712dec1593492ba6eaa362e6cfbb2ca318ff2e82ef01b69168e1ec45d5d34","target":"graph","created_at":"2026-07-04T14:18:04Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/cond-mat/0011238/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the growth of a periodic pattern in one dimension for a model of spinodal decomposition, the Cahn-Hilliard equation. We particularly focus on the intermediate region, where the non-linearity cannot be negected anymore, and before the coalescence dominates. The dynamics is captured through the standard technique of a solubility condition performed over a particular family of quasi-static solutions. The main result is that the dynamics along this particular class of solutions can be expressed in terms of a simple ordinary differential equation. The density profile of the stationary regi","authors_text":"Christophe Josserand, Simon Villain-Guillot","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2000-11-14T10:22:07Z","title":"Non-linear growth of periodic patterns"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0011238","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":"sha256:6ea935f66c5691f2cfb4e004586ea4646a591cc4ef6736b8a528a05a53cadc56","target":"record","created_at":"2026-07-04T14:18:04Z","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":"611da200be8e4e19da312f28c18b18dbb2b0c50dd90694e3edba5a5848f516a0","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.stat-mech","submitted_at":"2000-11-14T10:22:07Z","title_canon_sha256":"def211bf434212b9f1bc2d325fdff01f131f821ace472d9c1d3d87be9c38fde5"},"schema_version":"1.0","source":{"id":"cond-mat/0011238","kind":"arxiv","version":2}},"canonical_sha256":"42ae92b69f2c6c24b2c5adfb0dd7f08fcf0e38ea4a89a5cd76b1d3fea819ae14","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"42ae92b69f2c6c24b2c5adfb0dd7f08fcf0e38ea4a89a5cd76b1d3fea819ae14","first_computed_at":"2026-07-04T14:18:04.081975Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T14:18:04.081975Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OAauQe9w8o0WaOWVjnD7IKFcDwcXtySoJoA08tMhRKamGmzBWWgpVWDtyDAZYHG8ZGyt0nXTYQH9mvMEBHKvCw==","signature_status":"signed_v1","signed_at":"2026-07-04T14:18:04.082427Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0011238","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6ea935f66c5691f2cfb4e004586ea4646a591cc4ef6736b8a528a05a53cadc56","sha256:2ed712dec1593492ba6eaa362e6cfbb2ca318ff2e82ef01b69168e1ec45d5d34"],"state_sha256":"8d7b8f02ff9815b7c03f6397238a6782a722325ef5e0457ecbe3833163deabc1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IWrv5P4uNctb3BdGucr/wPDGaHtwyCh73XDH9UpsqCA6OGyj1lDxwszH2VS2rrQblQqn89kewkTe1i+sorAdDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T05:10:11.280398Z","bundle_sha256":"94c30a8813304b2dd1d2dc5e39468e955e244aa814e102bf2574fae9bcd43bfa"}}