{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1995:4IAQZKPBYHVNTPRTXJRQP5FCB6","short_pith_number":"pith:4IAQZKPB","canonical_record":{"source":{"id":"cond-mat/9506017","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"1995-06-05T09:04:43Z","cross_cats_sorted":["adap-org","nlin.AO"],"title_canon_sha256":"41072f97a98f35dacfe43fc85db99257cc68b09ae7f406e78cc7876c549d4b95","abstract_canon_sha256":"b1c8c4508fd114830474fc9e88d6f717034f7d3cb62efea2b312dd86bbf57bbb"},"schema_version":"1.0"},"canonical_sha256":"e2010ca9e1c1ead9be33ba6307f4a20fb35cbdcf7db173847b7d6b081847ff07","source":{"kind":"arxiv","id":"cond-mat/9506017","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9506017","created_at":"2026-05-18T01:09:20Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9506017v1","created_at":"2026-05-18T01:09:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9506017","created_at":"2026-05-18T01:09:20Z"},{"alias_kind":"pith_short_12","alias_value":"4IAQZKPBYHVN","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"4IAQZKPBYHVNTPRT","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"4IAQZKPB","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1995:4IAQZKPBYHVNTPRTXJRQP5FCB6","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/9506017","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"cond-mat","submitted_at":"1995-06-05T09:04:43Z","cross_cats_sorted":["adap-org","nlin.AO"],"title_canon_sha256":"41072f97a98f35dacfe43fc85db99257cc68b09ae7f406e78cc7876c549d4b95","abstract_canon_sha256":"b1c8c4508fd114830474fc9e88d6f717034f7d3cb62efea2b312dd86bbf57bbb"},"schema_version":"1.0"},"canonical_sha256":"e2010ca9e1c1ead9be33ba6307f4a20fb35cbdcf7db173847b7d6b081847ff07","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:20.571340Z","signature_b64":"JCkfDySdAC1f5cHC9849rkFb9ToYXkPOL8t8RSvskUANgXH5iKehc4FmLVUFarsOWcF8PYz9ts7lsqlV/QsUCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e2010ca9e1c1ead9be33ba6307f4a20fb35cbdcf7db173847b7d6b081847ff07","last_reissued_at":"2026-05-18T01:09:20.570772Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:20.570772Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/9506017","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":"2026-05-18T01:09:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zWPFEXe2uk8aArvpeaSyvddYmh6sTYUVjNBf3qVB1y9rXCMBFIBKJ5m6TnUJbHhZm+4cb6YahU95tLHuzT4VDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T05:29:42.981463Z"},"content_sha256":"08d4023760e58b05443311f21e2132a80a39c16134ec353ca95a7c0d3fbd2f58","schema_version":"1.0","event_id":"sha256:08d4023760e58b05443311f21e2132a80a39c16134ec353ca95a7c0d3fbd2f58"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1995:4IAQZKPBYHVNTPRTXJRQP5FCB6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Scaling, Propagation, and Kinetic Roughening of Flame Fronts in Random Media","license":"","headline":"","cross_cats":["adap-org","nlin.AO"],"primary_cat":"cond-mat","authors_text":"K. R. Elder, L. Pich\\'e, M. Grant, N. Provatas, T. Ala-Nissila","submitted_at":"1995-06-05T09:04:43Z","abstract_excerpt":"We introduce a model of two coupled reaction-diffusion equations to describe the dynamics and propagation of flame fronts in random media. The model incorporates heat diffusion, its dissipation, and its production through coupling to the background reactant density. We first show analytically and numerically that there is a finite critical value of the background density, below which the front associated with the temperature field stops propagating. The critical exponents associated with this transition are shown to be consistent with mean field theory of percolation. Second, we study the kine"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9506017","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":"2026-05-18T01:09:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/uPxul9twk1yGaou9h28nGclePoXEhuYnA02I5idD475Lr2T6l213f8cQJA9m6BXeeW/jJ3AhoMNsgOX2P6UDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T05:29:42.982138Z"},"content_sha256":"135d18b0a3f0f9af9cf7b412fd8e8dcc9b37a946959975c1e644acb7ab8ee14e","schema_version":"1.0","event_id":"sha256:135d18b0a3f0f9af9cf7b412fd8e8dcc9b37a946959975c1e644acb7ab8ee14e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4IAQZKPBYHVNTPRTXJRQP5FCB6/bundle.json","state_url":"https://pith.science/pith/4IAQZKPBYHVNTPRTXJRQP5FCB6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4IAQZKPBYHVNTPRTXJRQP5FCB6/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":"2026-05-27T05:29:42Z","links":{"resolver":"https://pith.science/pith/4IAQZKPBYHVNTPRTXJRQP5FCB6","bundle":"https://pith.science/pith/4IAQZKPBYHVNTPRTXJRQP5FCB6/bundle.json","state":"https://pith.science/pith/4IAQZKPBYHVNTPRTXJRQP5FCB6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4IAQZKPBYHVNTPRTXJRQP5FCB6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:4IAQZKPBYHVNTPRTXJRQP5FCB6","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":"b1c8c4508fd114830474fc9e88d6f717034f7d3cb62efea2b312dd86bbf57bbb","cross_cats_sorted":["adap-org","nlin.AO"],"license":"","primary_cat":"cond-mat","submitted_at":"1995-06-05T09:04:43Z","title_canon_sha256":"41072f97a98f35dacfe43fc85db99257cc68b09ae7f406e78cc7876c549d4b95"},"schema_version":"1.0","source":{"id":"cond-mat/9506017","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/9506017","created_at":"2026-05-18T01:09:20Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/9506017v1","created_at":"2026-05-18T01:09:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/9506017","created_at":"2026-05-18T01:09:20Z"},{"alias_kind":"pith_short_12","alias_value":"4IAQZKPBYHVN","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"4IAQZKPBYHVNTPRT","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"4IAQZKPB","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:135d18b0a3f0f9af9cf7b412fd8e8dcc9b37a946959975c1e644acb7ab8ee14e","target":"graph","created_at":"2026-05-18T01:09:20Z","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 introduce a model of two coupled reaction-diffusion equations to describe the dynamics and propagation of flame fronts in random media. The model incorporates heat diffusion, its dissipation, and its production through coupling to the background reactant density. We first show analytically and numerically that there is a finite critical value of the background density, below which the front associated with the temperature field stops propagating. The critical exponents associated with this transition are shown to be consistent with mean field theory of percolation. Second, we study the kine","authors_text":"K. R. Elder, L. Pich\\'e, M. Grant, N. Provatas, T. Ala-Nissila","cross_cats":["adap-org","nlin.AO"],"headline":"","license":"","primary_cat":"cond-mat","submitted_at":"1995-06-05T09:04:43Z","title":"Scaling, Propagation, and Kinetic Roughening of Flame Fronts in Random Media"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/9506017","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":"sha256:08d4023760e58b05443311f21e2132a80a39c16134ec353ca95a7c0d3fbd2f58","target":"record","created_at":"2026-05-18T01:09:20Z","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":"b1c8c4508fd114830474fc9e88d6f717034f7d3cb62efea2b312dd86bbf57bbb","cross_cats_sorted":["adap-org","nlin.AO"],"license":"","primary_cat":"cond-mat","submitted_at":"1995-06-05T09:04:43Z","title_canon_sha256":"41072f97a98f35dacfe43fc85db99257cc68b09ae7f406e78cc7876c549d4b95"},"schema_version":"1.0","source":{"id":"cond-mat/9506017","kind":"arxiv","version":1}},"canonical_sha256":"e2010ca9e1c1ead9be33ba6307f4a20fb35cbdcf7db173847b7d6b081847ff07","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e2010ca9e1c1ead9be33ba6307f4a20fb35cbdcf7db173847b7d6b081847ff07","first_computed_at":"2026-05-18T01:09:20.570772Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:20.570772Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"JCkfDySdAC1f5cHC9849rkFb9ToYXkPOL8t8RSvskUANgXH5iKehc4FmLVUFarsOWcF8PYz9ts7lsqlV/QsUCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:20.571340Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/9506017","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:08d4023760e58b05443311f21e2132a80a39c16134ec353ca95a7c0d3fbd2f58","sha256:135d18b0a3f0f9af9cf7b412fd8e8dcc9b37a946959975c1e644acb7ab8ee14e"],"state_sha256":"07a23cf99dc4ffbdf377db41365b7b326769ce699c90c683923b7f4ef7469bd7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ma6vYaTUxOF+tPo0j/ZLbCqvep9hP8jJWccIS74M0lkKZG85ICT4YLKGd+Ksxbv0TYlCnnNgzOt4Zk5Cy3jpDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T05:29:42.985399Z","bundle_sha256":"cf62cbf0e25ebfc434d863c77c5b85ebb48d25c9ad11ccf7824e9650202963de"}}