{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:ZKOTSVKV6YF54NKGXNCEFDPNDZ","short_pith_number":"pith:ZKOTSVKV","canonical_record":{"source":{"id":"1112.3249","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-12-14T15:33:27Z","cross_cats_sorted":[],"title_canon_sha256":"a97ab8b6fad5e4d035a09f0570422f558f98fe646b5cd078879417eba6527cba","abstract_canon_sha256":"f07e8506165dcc1b8f5f44e968c8447f5a8a7d65792f2f633a5880b43b76ce79"},"schema_version":"1.0"},"canonical_sha256":"ca9d395555f60bde3546bb44428ded1e4f1f821a8300d68e6e3a2e8815d5a793","source":{"kind":"arxiv","id":"1112.3249","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.3249","created_at":"2026-05-18T01:59:10Z"},{"alias_kind":"arxiv_version","alias_value":"1112.3249v1","created_at":"2026-05-18T01:59:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.3249","created_at":"2026-05-18T01:59:10Z"},{"alias_kind":"pith_short_12","alias_value":"ZKOTSVKV6YF5","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"ZKOTSVKV6YF54NKG","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"ZKOTSVKV","created_at":"2026-05-18T12:26:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:ZKOTSVKV6YF54NKGXNCEFDPNDZ","target":"record","payload":{"canonical_record":{"source":{"id":"1112.3249","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-12-14T15:33:27Z","cross_cats_sorted":[],"title_canon_sha256":"a97ab8b6fad5e4d035a09f0570422f558f98fe646b5cd078879417eba6527cba","abstract_canon_sha256":"f07e8506165dcc1b8f5f44e968c8447f5a8a7d65792f2f633a5880b43b76ce79"},"schema_version":"1.0"},"canonical_sha256":"ca9d395555f60bde3546bb44428ded1e4f1f821a8300d68e6e3a2e8815d5a793","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:59:10.119515Z","signature_b64":"vK8TpRKue3jEpB2B9qcSvaCehBL3tZWjqBpss9VhatvMsOkvVt/OuD+Wty0wRRzricQv3EAqL/UjpYn9bElLDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ca9d395555f60bde3546bb44428ded1e4f1f821a8300d68e6e3a2e8815d5a793","last_reissued_at":"2026-05-18T01:59:10.118852Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:59:10.118852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.3249","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":"2026-05-18T01:59:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VyQUvn+oQ5zyeGdPTroLUhQ5MLWBdLyFC7e/kceIezqn0e5LrolEhLmlKowrg32e5tiMi/X91noQVFGxhJc9AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T14:44:14.235868Z"},"content_sha256":"55fa4e877e51fc2f7df73efadcbd0c56bdb936e6534516eb3a41a5d13e98e5ff","schema_version":"1.0","event_id":"sha256:55fa4e877e51fc2f7df73efadcbd0c56bdb936e6534516eb3a41a5d13e98e5ff"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:ZKOTSVKV6YF54NKGXNCEFDPNDZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Diffusion in a logarithmic potential: scaling and selection in the approach to equilibrium","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"David Mukamel, Gunter M. Sch\\\"utz, Ori Hirschberg","submitted_at":"2011-12-14T15:33:27Z","abstract_excerpt":"The equation which describes a particle diffusing in a logarithmic potential arises in diverse physical problems such as momentum diffusion of atoms in optical traps, condensation processes, and denaturation of DNA molecules. A detailed study of the approach of such systems to equilibrium via a scaling analysis is carried out, revealing three surprising features: (i) the solution is given by two distinct scaling forms, corresponding to a diffusive (x ~ \\sqrt{t}) and a subdiffusive (x >> \\sqrt{t}) length scales, respectively; (ii) the scaling exponents and scaling functions corresponding to bot"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.3249","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":"2026-05-18T01:59:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KXY9Anh5cN8xjV5Wn1BT3f44n3tKqOOqFOaFd2llkDOK5aUvQ5SUlUEBipwXsXVRoFGg+ishZUS/pPR98/4cDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T14:44:14.236475Z"},"content_sha256":"8d875dea95560bce25f6f52214aa0590ef536c2126856d4bc6304580a5e1b8d9","schema_version":"1.0","event_id":"sha256:8d875dea95560bce25f6f52214aa0590ef536c2126856d4bc6304580a5e1b8d9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZKOTSVKV6YF54NKGXNCEFDPNDZ/bundle.json","state_url":"https://pith.science/pith/ZKOTSVKV6YF54NKGXNCEFDPNDZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZKOTSVKV6YF54NKGXNCEFDPNDZ/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":"2026-06-01T14:44:14Z","links":{"resolver":"https://pith.science/pith/ZKOTSVKV6YF54NKGXNCEFDPNDZ","bundle":"https://pith.science/pith/ZKOTSVKV6YF54NKGXNCEFDPNDZ/bundle.json","state":"https://pith.science/pith/ZKOTSVKV6YF54NKGXNCEFDPNDZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZKOTSVKV6YF54NKGXNCEFDPNDZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:ZKOTSVKV6YF54NKGXNCEFDPNDZ","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":"f07e8506165dcc1b8f5f44e968c8447f5a8a7d65792f2f633a5880b43b76ce79","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-12-14T15:33:27Z","title_canon_sha256":"a97ab8b6fad5e4d035a09f0570422f558f98fe646b5cd078879417eba6527cba"},"schema_version":"1.0","source":{"id":"1112.3249","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.3249","created_at":"2026-05-18T01:59:10Z"},{"alias_kind":"arxiv_version","alias_value":"1112.3249v1","created_at":"2026-05-18T01:59:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.3249","created_at":"2026-05-18T01:59:10Z"},{"alias_kind":"pith_short_12","alias_value":"ZKOTSVKV6YF5","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"ZKOTSVKV6YF54NKG","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"ZKOTSVKV","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:8d875dea95560bce25f6f52214aa0590ef536c2126856d4bc6304580a5e1b8d9","target":"graph","created_at":"2026-05-18T01:59:10Z","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":"The equation which describes a particle diffusing in a logarithmic potential arises in diverse physical problems such as momentum diffusion of atoms in optical traps, condensation processes, and denaturation of DNA molecules. A detailed study of the approach of such systems to equilibrium via a scaling analysis is carried out, revealing three surprising features: (i) the solution is given by two distinct scaling forms, corresponding to a diffusive (x ~ \\sqrt{t}) and a subdiffusive (x >> \\sqrt{t}) length scales, respectively; (ii) the scaling exponents and scaling functions corresponding to bot","authors_text":"David Mukamel, Gunter M. Sch\\\"utz, Ori Hirschberg","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-12-14T15:33:27Z","title":"Diffusion in a logarithmic potential: scaling and selection in the approach to equilibrium"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.3249","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":"sha256:55fa4e877e51fc2f7df73efadcbd0c56bdb936e6534516eb3a41a5d13e98e5ff","target":"record","created_at":"2026-05-18T01:59:10Z","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":"f07e8506165dcc1b8f5f44e968c8447f5a8a7d65792f2f633a5880b43b76ce79","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2011-12-14T15:33:27Z","title_canon_sha256":"a97ab8b6fad5e4d035a09f0570422f558f98fe646b5cd078879417eba6527cba"},"schema_version":"1.0","source":{"id":"1112.3249","kind":"arxiv","version":1}},"canonical_sha256":"ca9d395555f60bde3546bb44428ded1e4f1f821a8300d68e6e3a2e8815d5a793","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ca9d395555f60bde3546bb44428ded1e4f1f821a8300d68e6e3a2e8815d5a793","first_computed_at":"2026-05-18T01:59:10.118852Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:59:10.118852Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vK8TpRKue3jEpB2B9qcSvaCehBL3tZWjqBpss9VhatvMsOkvVt/OuD+Wty0wRRzricQv3EAqL/UjpYn9bElLDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:59:10.119515Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.3249","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:55fa4e877e51fc2f7df73efadcbd0c56bdb936e6534516eb3a41a5d13e98e5ff","sha256:8d875dea95560bce25f6f52214aa0590ef536c2126856d4bc6304580a5e1b8d9"],"state_sha256":"3b19343de899b4cd0183773decb7130f165e155049e489fa15d8f57d6d4d9f04"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oDieWmu0Qhy4Z2RoNuAfLM1rUQARMqL8t5x5Pu87CnCtwabZiCF9h4qvosQAcfC67fo+DkQEDIhQbl3FPrIXDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T14:44:14.239300Z","bundle_sha256":"6c14e76e3b5d8dce73d3f57f48bb4b8157134b64e4c96c6dc6503142ad12d464"}}