{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2016:PQAIFFSDWMZ4BAIMUSR2ZGIONM","short_pith_number":"pith:PQAIFFSD","schema_version":"1.0","canonical_sha256":"7c00829643b333c0810ca4a3ac990e6b07c4f5bc8ecc243cd1d7974ba8b08bbe","source":{"kind":"arxiv","id":"1610.06325","version":1},"attestation_state":"computed","paper":{"title":"Towards a stationary Monge-Kantorovich dynamics: the Physarum Polycephalum experience","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Enrico Facca, Franco Cardin, Mario Putti","submitted_at":"2016-10-20T08:36:27Z","abstract_excerpt":"In this work we study and expand a model describing the dynamics of a unicellular slime mold, Physarum Polycephalum (PP), which was proposed to simulate the ability of PP to find the shortest path connecting two food sources in a maze. The original model describes the dynamics of the slime mold on a finite dimensional planar graph using a pipe-flow analogy whereby mass transfer occurs because of pressure differences with a conductivity coefficient that varies with the flow intensity. We propose an extension of this model that abandons the graph structure and moves to a continuous domain. Numer"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1610.06325","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.NA","submitted_at":"2016-10-20T08:36:27Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"f9a3372319c877f3ec52a97cd65a16231480243343bc00acc5a553df36535d71","abstract_canon_sha256":"ac44009c17a316c2474a151053b17a7815f6c17570c14af8af5cf18bed1a4fc9"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-04T18:10:07.602975Z","signature_b64":"VurR8+nLkLJnp0ni3M+rzvqRg6YBF/Q4QXm56sygXaKOvPqiiXeCzvx4kKxefg3pzKeIhP5X9X3+lIc6KD4OCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7c00829643b333c0810ca4a3ac990e6b07c4f5bc8ecc243cd1d7974ba8b08bbe","last_reissued_at":"2026-06-04T18:10:07.602487Z","signature_status":"signed_v1","first_computed_at":"2026-06-04T18:10:07.602487Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Towards a stationary Monge-Kantorovich dynamics: the Physarum Polycephalum experience","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Enrico Facca, Franco Cardin, Mario Putti","submitted_at":"2016-10-20T08:36:27Z","abstract_excerpt":"In this work we study and expand a model describing the dynamics of a unicellular slime mold, Physarum Polycephalum (PP), which was proposed to simulate the ability of PP to find the shortest path connecting two food sources in a maze. The original model describes the dynamics of the slime mold on a finite dimensional planar graph using a pipe-flow analogy whereby mass transfer occurs because of pressure differences with a conductivity coefficient that varies with the flow intensity. We propose an extension of this model that abandons the graph structure and moves to a continuous domain. Numer"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1610.06325","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1610.06325/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1610.06325","created_at":"2026-06-04T18:10:07.602542+00:00"},{"alias_kind":"arxiv_version","alias_value":"1610.06325v1","created_at":"2026-06-04T18:10:07.602542+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1610.06325","created_at":"2026-06-04T18:10:07.602542+00:00"},{"alias_kind":"pith_short_12","alias_value":"PQAIFFSDWMZ4","created_at":"2026-06-04T18:10:07.602542+00:00"},{"alias_kind":"pith_short_16","alias_value":"PQAIFFSDWMZ4BAIM","created_at":"2026-06-04T18:10:07.602542+00:00"},{"alias_kind":"pith_short_8","alias_value":"PQAIFFSD","created_at":"2026-06-04T18:10:07.602542+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/PQAIFFSDWMZ4BAIMUSR2ZGIONM","json":"https://pith.science/pith/PQAIFFSDWMZ4BAIMUSR2ZGIONM.json","graph_json":"https://pith.science/api/pith-number/PQAIFFSDWMZ4BAIMUSR2ZGIONM/graph.json","events_json":"https://pith.science/api/pith-number/PQAIFFSDWMZ4BAIMUSR2ZGIONM/events.json","paper":"https://pith.science/paper/PQAIFFSD"},"agent_actions":{"view_html":"https://pith.science/pith/PQAIFFSDWMZ4BAIMUSR2ZGIONM","download_json":"https://pith.science/pith/PQAIFFSDWMZ4BAIMUSR2ZGIONM.json","view_paper":"https://pith.science/paper/PQAIFFSD","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1610.06325&json=true","fetch_graph":"https://pith.science/api/pith-number/PQAIFFSDWMZ4BAIMUSR2ZGIONM/graph.json","fetch_events":"https://pith.science/api/pith-number/PQAIFFSDWMZ4BAIMUSR2ZGIONM/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/PQAIFFSDWMZ4BAIMUSR2ZGIONM/action/timestamp_anchor","attest_storage":"https://pith.science/pith/PQAIFFSDWMZ4BAIMUSR2ZGIONM/action/storage_attestation","attest_author":"https://pith.science/pith/PQAIFFSDWMZ4BAIMUSR2ZGIONM/action/author_attestation","sign_citation":"https://pith.science/pith/PQAIFFSDWMZ4BAIMUSR2ZGIONM/action/citation_signature","submit_replication":"https://pith.science/pith/PQAIFFSDWMZ4BAIMUSR2ZGIONM/action/replication_record"}},"created_at":"2026-06-04T18:10:07.602542+00:00","updated_at":"2026-06-04T18:10:07.602542+00:00"}