{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:ESF7QVL5XLOTHASOWLBYMW5OF7","short_pith_number":"pith:ESF7QVL5","schema_version":"1.0","canonical_sha256":"248bf8557dbadd33824eb2c3865bae2ffb37f07521e0a1ad50ed96aa8c038032","source":{"kind":"arxiv","id":"1712.06296","version":1},"attestation_state":"computed","paper":{"title":"Effective transient behaviour of inclusions in diffusion problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.comp-ph","authors_text":"Laurence Brassart, Laurent Stainier","submitted_at":"2017-12-18T08:41:47Z","abstract_excerpt":"This paper is concerned with the effective transport properties of heterogeneous media in which there is a high contrast between the phase diffusivities. In this case the transient response of the slow phase induces a memory effect at the macroscopic scale, which needs to be included in a macroscopic continuum description. This paper focuses on the slow phase, which we take as a dispersion of inclusions of arbitrary shape. We revisit the linear diffusion problem in such inclusions in order to identify the structure of the effective (average) inclusion response to a chemical load applied on the"},"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":"1712.06296","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.comp-ph","submitted_at":"2017-12-18T08:41:47Z","cross_cats_sorted":[],"title_canon_sha256":"9969131baf5ca23b22da9d654dfb5db110a2b3a62ae55a16b5c76371bed66de0","abstract_canon_sha256":"285d78d8c6b02934211845f0f2f1a7638572f26cb1bc3197252a282bbb99021f"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:45.351546Z","signature_b64":"OUVjX3YNr4SBnun6VtXo5guBQF7inb99KYwR0OBbWwxU7Eo/hD65cOGyickuYvybgObR1qXjJ0jUplmswhFKDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"248bf8557dbadd33824eb2c3865bae2ffb37f07521e0a1ad50ed96aa8c038032","last_reissued_at":"2026-05-18T00:02:45.351132Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:45.351132Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Effective transient behaviour of inclusions in diffusion problems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.comp-ph","authors_text":"Laurence Brassart, Laurent Stainier","submitted_at":"2017-12-18T08:41:47Z","abstract_excerpt":"This paper is concerned with the effective transport properties of heterogeneous media in which there is a high contrast between the phase diffusivities. In this case the transient response of the slow phase induces a memory effect at the macroscopic scale, which needs to be included in a macroscopic continuum description. This paper focuses on the slow phase, which we take as a dispersion of inclusions of arbitrary shape. We revisit the linear diffusion problem in such inclusions in order to identify the structure of the effective (average) inclusion response to a chemical load applied on the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1712.06296","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"},"aliases":[{"alias_kind":"arxiv","alias_value":"1712.06296","created_at":"2026-05-18T00:02:45.351194+00:00"},{"alias_kind":"arxiv_version","alias_value":"1712.06296v1","created_at":"2026-05-18T00:02:45.351194+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1712.06296","created_at":"2026-05-18T00:02:45.351194+00:00"},{"alias_kind":"pith_short_12","alias_value":"ESF7QVL5XLOT","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_16","alias_value":"ESF7QVL5XLOTHASO","created_at":"2026-05-18T12:31:12.930513+00:00"},{"alias_kind":"pith_short_8","alias_value":"ESF7QVL5","created_at":"2026-05-18T12:31:12.930513+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/ESF7QVL5XLOTHASOWLBYMW5OF7","json":"https://pith.science/pith/ESF7QVL5XLOTHASOWLBYMW5OF7.json","graph_json":"https://pith.science/api/pith-number/ESF7QVL5XLOTHASOWLBYMW5OF7/graph.json","events_json":"https://pith.science/api/pith-number/ESF7QVL5XLOTHASOWLBYMW5OF7/events.json","paper":"https://pith.science/paper/ESF7QVL5"},"agent_actions":{"view_html":"https://pith.science/pith/ESF7QVL5XLOTHASOWLBYMW5OF7","download_json":"https://pith.science/pith/ESF7QVL5XLOTHASOWLBYMW5OF7.json","view_paper":"https://pith.science/paper/ESF7QVL5","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1712.06296&json=true","fetch_graph":"https://pith.science/api/pith-number/ESF7QVL5XLOTHASOWLBYMW5OF7/graph.json","fetch_events":"https://pith.science/api/pith-number/ESF7QVL5XLOTHASOWLBYMW5OF7/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/ESF7QVL5XLOTHASOWLBYMW5OF7/action/timestamp_anchor","attest_storage":"https://pith.science/pith/ESF7QVL5XLOTHASOWLBYMW5OF7/action/storage_attestation","attest_author":"https://pith.science/pith/ESF7QVL5XLOTHASOWLBYMW5OF7/action/author_attestation","sign_citation":"https://pith.science/pith/ESF7QVL5XLOTHASOWLBYMW5OF7/action/citation_signature","submit_replication":"https://pith.science/pith/ESF7QVL5XLOTHASOWLBYMW5OF7/action/replication_record"}},"created_at":"2026-05-18T00:02:45.351194+00:00","updated_at":"2026-05-18T00:02:45.351194+00:00"}