{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:BHW2TOKZIEMVCYVWNPBJU4FDY6","short_pith_number":"pith:BHW2TOKZ","canonical_record":{"source":{"id":"1701.01435","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-01-05T16:50:47Z","cross_cats_sorted":[],"title_canon_sha256":"c614b65aa3538f09fcf58c3f37a02701475a70a5c79a9c086f94114a1c226668","abstract_canon_sha256":"ccce4906eb75c7d4e7e1fda92b45905f40094eb2322150bd23052ed84e14b482"},"schema_version":"1.0"},"canonical_sha256":"09eda9b95941195162b66bc29a70a3c78c1f1b11869658cc72b4730e9af56672","source":{"kind":"arxiv","id":"1701.01435","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.01435","created_at":"2026-05-18T00:35:35Z"},{"alias_kind":"arxiv_version","alias_value":"1701.01435v2","created_at":"2026-05-18T00:35:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.01435","created_at":"2026-05-18T00:35:35Z"},{"alias_kind":"pith_short_12","alias_value":"BHW2TOKZIEMV","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"BHW2TOKZIEMVCYVW","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"BHW2TOKZ","created_at":"2026-05-18T12:31:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:BHW2TOKZIEMVCYVWNPBJU4FDY6","target":"record","payload":{"canonical_record":{"source":{"id":"1701.01435","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-01-05T16:50:47Z","cross_cats_sorted":[],"title_canon_sha256":"c614b65aa3538f09fcf58c3f37a02701475a70a5c79a9c086f94114a1c226668","abstract_canon_sha256":"ccce4906eb75c7d4e7e1fda92b45905f40094eb2322150bd23052ed84e14b482"},"schema_version":"1.0"},"canonical_sha256":"09eda9b95941195162b66bc29a70a3c78c1f1b11869658cc72b4730e9af56672","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:35.039742Z","signature_b64":"Eca7D0mE8/7klRomeDNyojipSDNV9LwNkY2V6q3kGFevNkz+B9tMqyp8vAZiNRqwTDCg+LFcyu2jHeZKTOYMDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"09eda9b95941195162b66bc29a70a3c78c1f1b11869658cc72b4730e9af56672","last_reissued_at":"2026-05-18T00:35:35.039239Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:35.039239Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.01435","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":"2026-05-18T00:35:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XUddXoM+8A4LH47rF8LlBYIMsc28wnL0WM/6S5bElnk07aR/oiSURe2ghaP/GJrvP/kmwct5z41jLImierKnCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T09:33:26.507755Z"},"content_sha256":"59da97d9334404ee4ee47dfae5fb1710c3151e00dd1c3f680947870a1e70fb2e","schema_version":"1.0","event_id":"sha256:59da97d9334404ee4ee47dfae5fb1710c3151e00dd1c3f680947870a1e70fb2e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:BHW2TOKZIEMVCYVWNPBJU4FDY6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Particle interactions mediated by dynamical networks: assessment of macroscopic descriptions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Diane Peurichard, Ewelina Zatorska, Jos\\'e Antonio Carrillo de la Plata, Julien Barr\\'e, Pierre Degond","submitted_at":"2017-01-05T16:50:47Z","abstract_excerpt":"We provide a numerical study of the macroscopic model of [3] derived from an agent-based model for a system of particles interacting through a dynamical network of links. Assuming that the network remodelling process is very fast, the macroscopic model takes the form of a single aggregation diffusion equation for the density of particles. The theoretical study of the macroscopic model gives precise criteria for the phase transitions of the steady states, and in the 1-dimensional case, we show numerically that the stationary solutions of the microscopic model undergo the same phase transitions "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.01435","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":"2026-05-18T00:35:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jBCgOQhO3P3ZDju6rvrCTbl5FqjVUJo8MJgOWyGCrzdrTY7g6Z0rco7ZeSdib+HRZQ6TeqSx/E5Et+WPDodmBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T09:33:26.508093Z"},"content_sha256":"c9036072ded791800b2e2bbeee30bd8fdb2166743c0237761a5f0f9297b94b1d","schema_version":"1.0","event_id":"sha256:c9036072ded791800b2e2bbeee30bd8fdb2166743c0237761a5f0f9297b94b1d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BHW2TOKZIEMVCYVWNPBJU4FDY6/bundle.json","state_url":"https://pith.science/pith/BHW2TOKZIEMVCYVWNPBJU4FDY6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BHW2TOKZIEMVCYVWNPBJU4FDY6/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":"2026-06-08T09:33:26Z","links":{"resolver":"https://pith.science/pith/BHW2TOKZIEMVCYVWNPBJU4FDY6","bundle":"https://pith.science/pith/BHW2TOKZIEMVCYVWNPBJU4FDY6/bundle.json","state":"https://pith.science/pith/BHW2TOKZIEMVCYVWNPBJU4FDY6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BHW2TOKZIEMVCYVWNPBJU4FDY6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:BHW2TOKZIEMVCYVWNPBJU4FDY6","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":"ccce4906eb75c7d4e7e1fda92b45905f40094eb2322150bd23052ed84e14b482","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-01-05T16:50:47Z","title_canon_sha256":"c614b65aa3538f09fcf58c3f37a02701475a70a5c79a9c086f94114a1c226668"},"schema_version":"1.0","source":{"id":"1701.01435","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.01435","created_at":"2026-05-18T00:35:35Z"},{"alias_kind":"arxiv_version","alias_value":"1701.01435v2","created_at":"2026-05-18T00:35:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.01435","created_at":"2026-05-18T00:35:35Z"},{"alias_kind":"pith_short_12","alias_value":"BHW2TOKZIEMV","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_16","alias_value":"BHW2TOKZIEMVCYVW","created_at":"2026-05-18T12:31:08Z"},{"alias_kind":"pith_short_8","alias_value":"BHW2TOKZ","created_at":"2026-05-18T12:31:08Z"}],"graph_snapshots":[{"event_id":"sha256:c9036072ded791800b2e2bbeee30bd8fdb2166743c0237761a5f0f9297b94b1d","target":"graph","created_at":"2026-05-18T00:35:35Z","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 provide a numerical study of the macroscopic model of [3] derived from an agent-based model for a system of particles interacting through a dynamical network of links. Assuming that the network remodelling process is very fast, the macroscopic model takes the form of a single aggregation diffusion equation for the density of particles. The theoretical study of the macroscopic model gives precise criteria for the phase transitions of the steady states, and in the 1-dimensional case, we show numerically that the stationary solutions of the microscopic model undergo the same phase transitions ","authors_text":"Diane Peurichard, Ewelina Zatorska, Jos\\'e Antonio Carrillo de la Plata, Julien Barr\\'e, Pierre Degond","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-01-05T16:50:47Z","title":"Particle interactions mediated by dynamical networks: assessment of macroscopic descriptions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.01435","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":"sha256:59da97d9334404ee4ee47dfae5fb1710c3151e00dd1c3f680947870a1e70fb2e","target":"record","created_at":"2026-05-18T00:35:35Z","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":"ccce4906eb75c7d4e7e1fda92b45905f40094eb2322150bd23052ed84e14b482","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2017-01-05T16:50:47Z","title_canon_sha256":"c614b65aa3538f09fcf58c3f37a02701475a70a5c79a9c086f94114a1c226668"},"schema_version":"1.0","source":{"id":"1701.01435","kind":"arxiv","version":2}},"canonical_sha256":"09eda9b95941195162b66bc29a70a3c78c1f1b11869658cc72b4730e9af56672","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"09eda9b95941195162b66bc29a70a3c78c1f1b11869658cc72b4730e9af56672","first_computed_at":"2026-05-18T00:35:35.039239Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:35.039239Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Eca7D0mE8/7klRomeDNyojipSDNV9LwNkY2V6q3kGFevNkz+B9tMqyp8vAZiNRqwTDCg+LFcyu2jHeZKTOYMDA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:35.039742Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.01435","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:59da97d9334404ee4ee47dfae5fb1710c3151e00dd1c3f680947870a1e70fb2e","sha256:c9036072ded791800b2e2bbeee30bd8fdb2166743c0237761a5f0f9297b94b1d"],"state_sha256":"65deaf5fe8b843043dcea88a08af5c123d53c146c4a9623c19c2e5173b97719e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5prvvRBBNWGJIxnah/nkdc4KCHrGgvcDZGjuC9uRhumqMOrGsgE7pkkq3Hs8rprhAz4AdO6H3gXsR34/F4D2DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T09:33:26.509998Z","bundle_sha256":"6515d516e99c8bacd81846889a89efa2d51ff2b2ca78d8d8ead36e71b29f65e7"}}