{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2020:GCMH6XTF4KPOCZNJPPT5YSL7H4","short_pith_number":"pith:GCMH6XTF","schema_version":"1.0","canonical_sha256":"30987f5e65e29ee165a97be7dc497f3f052621d30b26592bda88f95499917d27","source":{"kind":"arxiv","id":"2008.10496","version":1},"attestation_state":"computed","paper":{"title":"Homogenization of a Poroelasticity Model for Fibre-Reinforced Hydrogels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Hari Shankar Mahato, Michael Eden","submitted_at":"2020-08-24T15:00:09Z","abstract_excerpt":"In this paper, the analysis and homogenization of a poroelastic model for the hydro-mechanical response of fibre-reinforced hydrogels is considered. Here, the medium in question is considered to be a highly heterogeneous two-component media composed of a connected fibre-scaffold with periodically distributed inclusions of hydrogel. While the fibres are assumed to be elastic, the hydromechanical response of hydrogel is modeled via \\emph{Biot's poroelasticity}. We show that the resulting mathematical problem admits a unique weak solution and investigate the limit behavior (in the sense of two-sc"},"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":"2008.10496","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2020-08-24T15:00:09Z","cross_cats_sorted":[],"title_canon_sha256":"337b1f8714133144328df6427bdebd481402d95ce45f3b07afbd0c6e434a4cba","abstract_canon_sha256":"13e9645bbbeeaa5fba8910554e8c37e67114097e8889f84244ac07ff247d4f9b"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:15:41.910089Z","signature_b64":"f7szwiluVppjqfiwiv7JRv6cD+HljbCuAvpnGn9h21RVH6t4i1h/066H4lMhjBonIkp5MDoQ4JHQQTrmZWz8Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"30987f5e65e29ee165a97be7dc497f3f052621d30b26592bda88f95499917d27","last_reissued_at":"2026-07-05T07:15:41.909642Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:15:41.909642Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Homogenization of a Poroelasticity Model for Fibre-Reinforced Hydrogels","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Hari Shankar Mahato, Michael Eden","submitted_at":"2020-08-24T15:00:09Z","abstract_excerpt":"In this paper, the analysis and homogenization of a poroelastic model for the hydro-mechanical response of fibre-reinforced hydrogels is considered. Here, the medium in question is considered to be a highly heterogeneous two-component media composed of a connected fibre-scaffold with periodically distributed inclusions of hydrogel. While the fibres are assumed to be elastic, the hydromechanical response of hydrogel is modeled via \\emph{Biot's poroelasticity}. We show that the resulting mathematical problem admits a unique weak solution and investigate the limit behavior (in the sense of two-sc"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.10496","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/2008.10496/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":"2008.10496","created_at":"2026-07-05T07:15:41.909696+00:00"},{"alias_kind":"arxiv_version","alias_value":"2008.10496v1","created_at":"2026-07-05T07:15:41.909696+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.10496","created_at":"2026-07-05T07:15:41.909696+00:00"},{"alias_kind":"pith_short_12","alias_value":"GCMH6XTF4KPO","created_at":"2026-07-05T07:15:41.909696+00:00"},{"alias_kind":"pith_short_16","alias_value":"GCMH6XTF4KPOCZNJ","created_at":"2026-07-05T07:15:41.909696+00:00"},{"alias_kind":"pith_short_8","alias_value":"GCMH6XTF","created_at":"2026-07-05T07:15:41.909696+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/GCMH6XTF4KPOCZNJPPT5YSL7H4","json":"https://pith.science/pith/GCMH6XTF4KPOCZNJPPT5YSL7H4.json","graph_json":"https://pith.science/api/pith-number/GCMH6XTF4KPOCZNJPPT5YSL7H4/graph.json","events_json":"https://pith.science/api/pith-number/GCMH6XTF4KPOCZNJPPT5YSL7H4/events.json","paper":"https://pith.science/paper/GCMH6XTF"},"agent_actions":{"view_html":"https://pith.science/pith/GCMH6XTF4KPOCZNJPPT5YSL7H4","download_json":"https://pith.science/pith/GCMH6XTF4KPOCZNJPPT5YSL7H4.json","view_paper":"https://pith.science/paper/GCMH6XTF","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2008.10496&json=true","fetch_graph":"https://pith.science/api/pith-number/GCMH6XTF4KPOCZNJPPT5YSL7H4/graph.json","fetch_events":"https://pith.science/api/pith-number/GCMH6XTF4KPOCZNJPPT5YSL7H4/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/GCMH6XTF4KPOCZNJPPT5YSL7H4/action/timestamp_anchor","attest_storage":"https://pith.science/pith/GCMH6XTF4KPOCZNJPPT5YSL7H4/action/storage_attestation","attest_author":"https://pith.science/pith/GCMH6XTF4KPOCZNJPPT5YSL7H4/action/author_attestation","sign_citation":"https://pith.science/pith/GCMH6XTF4KPOCZNJPPT5YSL7H4/action/citation_signature","submit_replication":"https://pith.science/pith/GCMH6XTF4KPOCZNJPPT5YSL7H4/action/replication_record"}},"created_at":"2026-07-05T07:15:41.909696+00:00","updated_at":"2026-07-05T07:15:41.909696+00:00"}