{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:VVSA2GF5UPIYLXTCQLXINU2HN2","short_pith_number":"pith:VVSA2GF5","canonical_record":{"source":{"id":"1004.0408","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-04-03T01:02:02Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"9365ced97f6b8d98d8b651a4dc4f76a2ae672dc469f98197f63bd5265378b41a","abstract_canon_sha256":"4811f3f45f7b8a2976aa0c037eac57b1c9350c131fd68bb58ad39407364cf140"},"schema_version":"1.0"},"canonical_sha256":"ad640d18bda3d185de6282ee86d3476e8fd9be84c737821d76d024f89cf3dbe6","source":{"kind":"arxiv","id":"1004.0408","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.0408","created_at":"2026-05-18T02:24:17Z"},{"alias_kind":"arxiv_version","alias_value":"1004.0408v2","created_at":"2026-05-18T02:24:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.0408","created_at":"2026-05-18T02:24:17Z"},{"alias_kind":"pith_short_12","alias_value":"VVSA2GF5UPIY","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"VVSA2GF5UPIYLXTC","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"VVSA2GF5","created_at":"2026-05-18T12:26:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:VVSA2GF5UPIYLXTCQLXINU2HN2","target":"record","payload":{"canonical_record":{"source":{"id":"1004.0408","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-04-03T01:02:02Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"9365ced97f6b8d98d8b651a4dc4f76a2ae672dc469f98197f63bd5265378b41a","abstract_canon_sha256":"4811f3f45f7b8a2976aa0c037eac57b1c9350c131fd68bb58ad39407364cf140"},"schema_version":"1.0"},"canonical_sha256":"ad640d18bda3d185de6282ee86d3476e8fd9be84c737821d76d024f89cf3dbe6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:24:17.823781Z","signature_b64":"qrDSu0Z/a/E3ir+ifokzgn6fAqjWOfehWypqHdoF3rsjnLP7SpGDvHvNcHYrnD9cJAJDoUG09HTgNAhJOYpcAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ad640d18bda3d185de6282ee86d3476e8fd9be84c737821d76d024f89cf3dbe6","last_reissued_at":"2026-05-18T02:24:17.823064Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:24:17.823064Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1004.0408","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":"2026-05-18T02:24:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eWeVVpue2Zl/IwJkvC/8GUSrkxm1S1nTZmQrihfd1DRwTbBmQx+M0iSbyvOo6H4Q1Mmvfs8XTzw58IDV5axiAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T11:51:57.372809Z"},"content_sha256":"a66b229716e592dfb792be2ae6bcd96478ec66c5337d43edd10d868f7949ebb8","schema_version":"1.0","event_id":"sha256:a66b229716e592dfb792be2ae6bcd96478ec66c5337d43edd10d868f7949ebb8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:VVSA2GF5UPIYLXTCQLXINU2HN2","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Finite size effects and metastability in zero-range condensation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"cond-mat.stat-mech","authors_text":"Paul Chleboun, Stefan Grosskinsky","submitted_at":"2010-04-03T01:02:02Z","abstract_excerpt":"We study zero-range processes which are known to exhibit a condensation transition, where above a critical density a non-zero fraction of all particles accumulates on a single lattice site. This phenomenon has been a subject of recent research interest and is well understood in the thermodynamic limit. The system shows large finite size effects, and we observe a switching between metastable fluid and condensed phases close to the critical point, in contrast to the continuous limiting behaviour of relevant observables. We describe the leading order finite size effects and establish a discontinu"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.0408","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":"2026-05-18T02:24:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ho24V637UP4iqtOgb2VB5Kqj62NqigiCFmFdMXLXo3dYDNa/hBW9vAwRMl6u/K9yXHFxYKKX716id1ycAHyCCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T11:51:57.373141Z"},"content_sha256":"0261f4c96bc35ce815919ce30cea4875b85a9b9a7b3adf296dc27791fdf74eab","schema_version":"1.0","event_id":"sha256:0261f4c96bc35ce815919ce30cea4875b85a9b9a7b3adf296dc27791fdf74eab"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VVSA2GF5UPIYLXTCQLXINU2HN2/bundle.json","state_url":"https://pith.science/pith/VVSA2GF5UPIYLXTCQLXINU2HN2/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VVSA2GF5UPIYLXTCQLXINU2HN2/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":"2026-06-30T11:51:57Z","links":{"resolver":"https://pith.science/pith/VVSA2GF5UPIYLXTCQLXINU2HN2","bundle":"https://pith.science/pith/VVSA2GF5UPIYLXTCQLXINU2HN2/bundle.json","state":"https://pith.science/pith/VVSA2GF5UPIYLXTCQLXINU2HN2/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VVSA2GF5UPIYLXTCQLXINU2HN2/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:VVSA2GF5UPIYLXTCQLXINU2HN2","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":"4811f3f45f7b8a2976aa0c037eac57b1c9350c131fd68bb58ad39407364cf140","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-04-03T01:02:02Z","title_canon_sha256":"9365ced97f6b8d98d8b651a4dc4f76a2ae672dc469f98197f63bd5265378b41a"},"schema_version":"1.0","source":{"id":"1004.0408","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1004.0408","created_at":"2026-05-18T02:24:17Z"},{"alias_kind":"arxiv_version","alias_value":"1004.0408v2","created_at":"2026-05-18T02:24:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1004.0408","created_at":"2026-05-18T02:24:17Z"},{"alias_kind":"pith_short_12","alias_value":"VVSA2GF5UPIY","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_16","alias_value":"VVSA2GF5UPIYLXTC","created_at":"2026-05-18T12:26:15Z"},{"alias_kind":"pith_short_8","alias_value":"VVSA2GF5","created_at":"2026-05-18T12:26:15Z"}],"graph_snapshots":[{"event_id":"sha256:0261f4c96bc35ce815919ce30cea4875b85a9b9a7b3adf296dc27791fdf74eab","target":"graph","created_at":"2026-05-18T02:24:17Z","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 study zero-range processes which are known to exhibit a condensation transition, where above a critical density a non-zero fraction of all particles accumulates on a single lattice site. This phenomenon has been a subject of recent research interest and is well understood in the thermodynamic limit. The system shows large finite size effects, and we observe a switching between metastable fluid and condensed phases close to the critical point, in contrast to the continuous limiting behaviour of relevant observables. We describe the leading order finite size effects and establish a discontinu","authors_text":"Paul Chleboun, Stefan Grosskinsky","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-04-03T01:02:02Z","title":"Finite size effects and metastability in zero-range condensation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1004.0408","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:a66b229716e592dfb792be2ae6bcd96478ec66c5337d43edd10d868f7949ebb8","target":"record","created_at":"2026-05-18T02:24:17Z","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":"4811f3f45f7b8a2976aa0c037eac57b1c9350c131fd68bb58ad39407364cf140","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2010-04-03T01:02:02Z","title_canon_sha256":"9365ced97f6b8d98d8b651a4dc4f76a2ae672dc469f98197f63bd5265378b41a"},"schema_version":"1.0","source":{"id":"1004.0408","kind":"arxiv","version":2}},"canonical_sha256":"ad640d18bda3d185de6282ee86d3476e8fd9be84c737821d76d024f89cf3dbe6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ad640d18bda3d185de6282ee86d3476e8fd9be84c737821d76d024f89cf3dbe6","first_computed_at":"2026-05-18T02:24:17.823064Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:24:17.823064Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"qrDSu0Z/a/E3ir+ifokzgn6fAqjWOfehWypqHdoF3rsjnLP7SpGDvHvNcHYrnD9cJAJDoUG09HTgNAhJOYpcAw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:24:17.823781Z","signed_message":"canonical_sha256_bytes"},"source_id":"1004.0408","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a66b229716e592dfb792be2ae6bcd96478ec66c5337d43edd10d868f7949ebb8","sha256:0261f4c96bc35ce815919ce30cea4875b85a9b9a7b3adf296dc27791fdf74eab"],"state_sha256":"02d84001197f58b167c30f86b45eeeddbec76bcc6ad95ddbcaacc971b9046ec7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ueurUiExCjCJEPDBgNE2QQzCzbEwvfpjtX7p8O5/WzoR6G79v68LAIBvQrCEVoQYWVPiGHCbw8sP2cHEXKyFCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T11:51:57.375023Z","bundle_sha256":"f76201289772bfd0e256298e3d49405fd4ca6a2b70b220a25fe347950a6e4735"}}