{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:L6UJS4U3POXZD5GOYDNMPGS4ZK","short_pith_number":"pith:L6UJS4U3","canonical_record":{"source":{"id":"1507.00822","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-07-03T06:05:01Z","cross_cats_sorted":[],"title_canon_sha256":"af0774cb38485e78aadc1ec07d726c28fd417884f7a60ee6b5f30b1d4130dd84","abstract_canon_sha256":"b6e92ea07bd346e788f91a577754ec0af065ff7d460b9d681f5fca31a14b995d"},"schema_version":"1.0"},"canonical_sha256":"5fa899729b7baf91f4cec0dac79a5cca8b22f12299ffa37605f01c7d10534e2b","source":{"kind":"arxiv","id":"1507.00822","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.00822","created_at":"2026-05-18T01:20:36Z"},{"alias_kind":"arxiv_version","alias_value":"1507.00822v2","created_at":"2026-05-18T01:20:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.00822","created_at":"2026-05-18T01:20:36Z"},{"alias_kind":"pith_short_12","alias_value":"L6UJS4U3POXZ","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"L6UJS4U3POXZD5GO","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"L6UJS4U3","created_at":"2026-05-18T12:29:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:L6UJS4U3POXZD5GOYDNMPGS4ZK","target":"record","payload":{"canonical_record":{"source":{"id":"1507.00822","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-07-03T06:05:01Z","cross_cats_sorted":[],"title_canon_sha256":"af0774cb38485e78aadc1ec07d726c28fd417884f7a60ee6b5f30b1d4130dd84","abstract_canon_sha256":"b6e92ea07bd346e788f91a577754ec0af065ff7d460b9d681f5fca31a14b995d"},"schema_version":"1.0"},"canonical_sha256":"5fa899729b7baf91f4cec0dac79a5cca8b22f12299ffa37605f01c7d10534e2b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:36.323363Z","signature_b64":"HBuNBrVO2ARw8iM5lltakNmx62R4gCjFV9CZ0bv+VhoESIZhJCkWkv3WsOPUerPom0w8iLDPo4rJ5aEEvWrYBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5fa899729b7baf91f4cec0dac79a5cca8b22f12299ffa37605f01c7d10534e2b","last_reissued_at":"2026-05-18T01:20:36.322988Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:36.322988Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1507.00822","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":"2026-05-18T01:20:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OAXzIF3kWQ3m37x9t0AwKQIj4giqVYGyqdpb1o4gzouCMnLCZtVTD99Hjzfz7DckzbOhro8GSA1H7k/j5R0XDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T06:29:59.832940Z"},"content_sha256":"6bac181c50f3ad9c4612e3eff6f3730eb4605798df4100ec87b5b8a62b961f08","schema_version":"1.0","event_id":"sha256:6bac181c50f3ad9c4612e3eff6f3730eb4605798df4100ec87b5b8a62b961f08"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:L6UJS4U3POXZD5GOYDNMPGS4ZK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Macroscopic fluctuation theory and first-passage properties of surface diffusion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Arkady Vilenkin, Baruch Meerson","submitted_at":"2015-07-03T06:05:01Z","abstract_excerpt":"We investigate non-equilibrium fluctuations of a solid surface governed by the stochastic Mullins-Herring equation with conserved noise. This equation describes surface diffusion of adatoms accompanied by their exchange between the surface and the bulk of the solid, when desorption of adatoms is negligible. Previous works dealt with dynamic scaling behavior of the fluctuating interface. Here we determine the probability that the interface first reaches a large given height at a specified time. We also find the optimal time history of the interface conditional on this non-equilibrium fluctuatio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.00822","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":""},"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":"2026-05-18T01:20:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tJBB7/kwhqnnw/lhKzBG2GF9damOOZOpYIzADfdciYGPMSgNoLd8yT3mFCiTw3i6uE1Bw2vwqvbDfuPQfXAFCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-01T06:29:59.833606Z"},"content_sha256":"02902aafbaa99533a8f0bbf6daf9c0ba18ac787056fa96ee4ad341e3cd058150","schema_version":"1.0","event_id":"sha256:02902aafbaa99533a8f0bbf6daf9c0ba18ac787056fa96ee4ad341e3cd058150"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L6UJS4U3POXZD5GOYDNMPGS4ZK/bundle.json","state_url":"https://pith.science/pith/L6UJS4U3POXZD5GOYDNMPGS4ZK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L6UJS4U3POXZD5GOYDNMPGS4ZK/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":"2026-07-01T06:29:59Z","links":{"resolver":"https://pith.science/pith/L6UJS4U3POXZD5GOYDNMPGS4ZK","bundle":"https://pith.science/pith/L6UJS4U3POXZD5GOYDNMPGS4ZK/bundle.json","state":"https://pith.science/pith/L6UJS4U3POXZD5GOYDNMPGS4ZK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L6UJS4U3POXZD5GOYDNMPGS4ZK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:L6UJS4U3POXZD5GOYDNMPGS4ZK","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":"b6e92ea07bd346e788f91a577754ec0af065ff7d460b9d681f5fca31a14b995d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-07-03T06:05:01Z","title_canon_sha256":"af0774cb38485e78aadc1ec07d726c28fd417884f7a60ee6b5f30b1d4130dd84"},"schema_version":"1.0","source":{"id":"1507.00822","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.00822","created_at":"2026-05-18T01:20:36Z"},{"alias_kind":"arxiv_version","alias_value":"1507.00822v2","created_at":"2026-05-18T01:20:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.00822","created_at":"2026-05-18T01:20:36Z"},{"alias_kind":"pith_short_12","alias_value":"L6UJS4U3POXZ","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_16","alias_value":"L6UJS4U3POXZD5GO","created_at":"2026-05-18T12:29:29Z"},{"alias_kind":"pith_short_8","alias_value":"L6UJS4U3","created_at":"2026-05-18T12:29:29Z"}],"graph_snapshots":[{"event_id":"sha256:02902aafbaa99533a8f0bbf6daf9c0ba18ac787056fa96ee4ad341e3cd058150","target":"graph","created_at":"2026-05-18T01:20:36Z","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 investigate non-equilibrium fluctuations of a solid surface governed by the stochastic Mullins-Herring equation with conserved noise. This equation describes surface diffusion of adatoms accompanied by their exchange between the surface and the bulk of the solid, when desorption of adatoms is negligible. Previous works dealt with dynamic scaling behavior of the fluctuating interface. Here we determine the probability that the interface first reaches a large given height at a specified time. We also find the optimal time history of the interface conditional on this non-equilibrium fluctuatio","authors_text":"Arkady Vilenkin, Baruch Meerson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-07-03T06:05:01Z","title":"Macroscopic fluctuation theory and first-passage properties of surface diffusion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.00822","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":"sha256:6bac181c50f3ad9c4612e3eff6f3730eb4605798df4100ec87b5b8a62b961f08","target":"record","created_at":"2026-05-18T01:20:36Z","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":"b6e92ea07bd346e788f91a577754ec0af065ff7d460b9d681f5fca31a14b995d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2015-07-03T06:05:01Z","title_canon_sha256":"af0774cb38485e78aadc1ec07d726c28fd417884f7a60ee6b5f30b1d4130dd84"},"schema_version":"1.0","source":{"id":"1507.00822","kind":"arxiv","version":2}},"canonical_sha256":"5fa899729b7baf91f4cec0dac79a5cca8b22f12299ffa37605f01c7d10534e2b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5fa899729b7baf91f4cec0dac79a5cca8b22f12299ffa37605f01c7d10534e2b","first_computed_at":"2026-05-18T01:20:36.322988Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:36.322988Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"HBuNBrVO2ARw8iM5lltakNmx62R4gCjFV9CZ0bv+VhoESIZhJCkWkv3WsOPUerPom0w8iLDPo4rJ5aEEvWrYBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:36.323363Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.00822","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6bac181c50f3ad9c4612e3eff6f3730eb4605798df4100ec87b5b8a62b961f08","sha256:02902aafbaa99533a8f0bbf6daf9c0ba18ac787056fa96ee4ad341e3cd058150"],"state_sha256":"7f4857f082dbace0cff94221b722949930170486887a3b11da834d665a952272"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GRgh0fuvDZ249OHLq3DG+KlLmelOvhvX7JtLaS4F355ByOeQSq/T5UwVtg5nITkhKN4pxGDbjIt0gVRbizNTAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-01T06:29:59.836798Z","bundle_sha256":"0c8dbca0338bec6db33e12045f4adf4c759129b33ced60b998aa7d53e6388eff"}}