{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:YVXSODB4P66PTI6Y6ZOMIZBMUX","short_pith_number":"pith:YVXSODB4","canonical_record":{"source":{"id":"1307.6385","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-07-24T11:19:51Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"title_canon_sha256":"1728fca2adc6bf26061513c10a2490792eb62c36820f9be5945f40cf45955bfe","abstract_canon_sha256":"f4771481417d8c9cb0cf49772aad20a69f1d0fa42c9cfda40038c328fdf19a63"},"schema_version":"1.0"},"canonical_sha256":"c56f270c3c7fbcf9a3d8f65cc4642ca5f6799ac755f027aadab3fa19de38d3f9","source":{"kind":"arxiv","id":"1307.6385","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.6385","created_at":"2026-05-18T03:05:37Z"},{"alias_kind":"arxiv_version","alias_value":"1307.6385v4","created_at":"2026-05-18T03:05:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.6385","created_at":"2026-05-18T03:05:37Z"},{"alias_kind":"pith_short_12","alias_value":"YVXSODB4P66P","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"YVXSODB4P66PTI6Y","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"YVXSODB4","created_at":"2026-05-18T12:28:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:YVXSODB4P66PTI6Y6ZOMIZBMUX","target":"record","payload":{"canonical_record":{"source":{"id":"1307.6385","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-07-24T11:19:51Z","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"title_canon_sha256":"1728fca2adc6bf26061513c10a2490792eb62c36820f9be5945f40cf45955bfe","abstract_canon_sha256":"f4771481417d8c9cb0cf49772aad20a69f1d0fa42c9cfda40038c328fdf19a63"},"schema_version":"1.0"},"canonical_sha256":"c56f270c3c7fbcf9a3d8f65cc4642ca5f6799ac755f027aadab3fa19de38d3f9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:05:37.836379Z","signature_b64":"oZ7dVrow1lGX3Jq81sLh0yqLh2SfzKhodjD9k8AMATTXhw2HMTPlX/p5ocVjMkOs9khJp2WCkTWAJWUdchofDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c56f270c3c7fbcf9a3d8f65cc4642ca5f6799ac755f027aadab3fa19de38d3f9","last_reissued_at":"2026-05-18T03:05:37.835678Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:05:37.835678Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.6385","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:05:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/6zJjZu8VVIwoD0wQY8kkHE1j7hmbFpzuM1eJ9nqY1QYVN1By/r+SikgK9LMWBh3f/jswctN+5aXrpxKfPClCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T20:17:33.141563Z"},"content_sha256":"2e8eeec7076dafd64ebb18f3e5351428fa9665348f704338439f26e5383c3b09","schema_version":"1.0","event_id":"sha256:2e8eeec7076dafd64ebb18f3e5351428fa9665348f704338439f26e5383c3b09"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:YVXSODB4P66PTI6Y6ZOMIZBMUX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hydrodynamic limit in a particle system with topological interactions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"primary_cat":"math.PR","authors_text":"Anna De Masi, Cristian Giardin\\`a, Errico Presutti, Gioia Carinci","submitted_at":"2013-07-24T11:19:51Z","abstract_excerpt":"We study a system of particles in the interval $[0,\\epsilon^{-1}] \\cap \\mathbb Z$, $\\epsilon^{-1}$ a positive integer. The particles move as symmetric independent random walks (with reflections at the endpoints); simultaneously new particles are injected at site 0 at rate $j\\epsilon$ ($j>0$) and removed at same rate from the rightmost occupied site. The removal mechanism is therefore of topological rather than metric nature. The determination of the rightmost occupied site requires a knowledge of the entire configuration and prevents from using correlation functions techniques. We prove using "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.6385","kind":"arxiv","version":4},"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":"2026-05-18T03:05:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"RJRmp2a4BtAsaB0+6XThi7BLscm5jFOjgFELgl/kDhg9VklD5zUQ4XMoQ2L12RVf5qZoL07sDSGlCEjAUketCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-31T20:17:33.142239Z"},"content_sha256":"9dc97fea2906ef820da2bec2978b467625c84af6555852fb5c8fe30410221e16","schema_version":"1.0","event_id":"sha256:9dc97fea2906ef820da2bec2978b467625c84af6555852fb5c8fe30410221e16"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YVXSODB4P66PTI6Y6ZOMIZBMUX/bundle.json","state_url":"https://pith.science/pith/YVXSODB4P66PTI6Y6ZOMIZBMUX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YVXSODB4P66PTI6Y6ZOMIZBMUX/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":"2026-05-31T20:17:33Z","links":{"resolver":"https://pith.science/pith/YVXSODB4P66PTI6Y6ZOMIZBMUX","bundle":"https://pith.science/pith/YVXSODB4P66PTI6Y6ZOMIZBMUX/bundle.json","state":"https://pith.science/pith/YVXSODB4P66PTI6Y6ZOMIZBMUX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YVXSODB4P66PTI6Y6ZOMIZBMUX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:YVXSODB4P66PTI6Y6ZOMIZBMUX","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":"f4771481417d8c9cb0cf49772aad20a69f1d0fa42c9cfda40038c328fdf19a63","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-07-24T11:19:51Z","title_canon_sha256":"1728fca2adc6bf26061513c10a2490792eb62c36820f9be5945f40cf45955bfe"},"schema_version":"1.0","source":{"id":"1307.6385","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.6385","created_at":"2026-05-18T03:05:37Z"},{"alias_kind":"arxiv_version","alias_value":"1307.6385v4","created_at":"2026-05-18T03:05:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.6385","created_at":"2026-05-18T03:05:37Z"},{"alias_kind":"pith_short_12","alias_value":"YVXSODB4P66P","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_16","alias_value":"YVXSODB4P66PTI6Y","created_at":"2026-05-18T12:28:09Z"},{"alias_kind":"pith_short_8","alias_value":"YVXSODB4","created_at":"2026-05-18T12:28:09Z"}],"graph_snapshots":[{"event_id":"sha256:9dc97fea2906ef820da2bec2978b467625c84af6555852fb5c8fe30410221e16","target":"graph","created_at":"2026-05-18T03:05:37Z","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 a system of particles in the interval $[0,\\epsilon^{-1}] \\cap \\mathbb Z$, $\\epsilon^{-1}$ a positive integer. The particles move as symmetric independent random walks (with reflections at the endpoints); simultaneously new particles are injected at site 0 at rate $j\\epsilon$ ($j>0$) and removed at same rate from the rightmost occupied site. The removal mechanism is therefore of topological rather than metric nature. The determination of the rightmost occupied site requires a knowledge of the entire configuration and prevents from using correlation functions techniques. We prove using ","authors_text":"Anna De Masi, Cristian Giardin\\`a, Errico Presutti, Gioia Carinci","cross_cats":["cond-mat.stat-mech","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-07-24T11:19:51Z","title":"Hydrodynamic limit in a particle system with topological interactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.6385","kind":"arxiv","version":4},"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":"sha256:2e8eeec7076dafd64ebb18f3e5351428fa9665348f704338439f26e5383c3b09","target":"record","created_at":"2026-05-18T03:05:37Z","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":"f4771481417d8c9cb0cf49772aad20a69f1d0fa42c9cfda40038c328fdf19a63","cross_cats_sorted":["cond-mat.stat-mech","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2013-07-24T11:19:51Z","title_canon_sha256":"1728fca2adc6bf26061513c10a2490792eb62c36820f9be5945f40cf45955bfe"},"schema_version":"1.0","source":{"id":"1307.6385","kind":"arxiv","version":4}},"canonical_sha256":"c56f270c3c7fbcf9a3d8f65cc4642ca5f6799ac755f027aadab3fa19de38d3f9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c56f270c3c7fbcf9a3d8f65cc4642ca5f6799ac755f027aadab3fa19de38d3f9","first_computed_at":"2026-05-18T03:05:37.835678Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:05:37.835678Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"oZ7dVrow1lGX3Jq81sLh0yqLh2SfzKhodjD9k8AMATTXhw2HMTPlX/p5ocVjMkOs9khJp2WCkTWAJWUdchofDw==","signature_status":"signed_v1","signed_at":"2026-05-18T03:05:37.836379Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.6385","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2e8eeec7076dafd64ebb18f3e5351428fa9665348f704338439f26e5383c3b09","sha256:9dc97fea2906ef820da2bec2978b467625c84af6555852fb5c8fe30410221e16"],"state_sha256":"03db979385662351be989a6601409235e62b8c1b327037a316dc9dd20df8e15c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XsR/Px75OvKOV4gylLH6yAeNcowBGlgnfQHJuqvqQLg835RzGUfwe6SsCccr9jZ7TGua53Yyggsz86oL6RgmDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-31T20:17:33.146141Z","bundle_sha256":"99b599c2e92bd9ce22f270bb8a41334ecd011d809ce50f55ce90e1352ab335c8"}}