{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:7TJBYAI5V4W2JV6LCEUSMFLWTU","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":"ef2fabe21cdd4f4236fe615b4a1d1dd120dea85816d64c00af92bbe8009a5ddd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.geo-ph","submitted_at":"2017-11-17T21:08:15Z","title_canon_sha256":"e89bcc5f96854a7206ae42db07fe5325b60bf88d6f1c1677be2332ce2756c384"},"schema_version":"1.0","source":{"id":"1711.06726","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1711.06726","created_at":"2026-05-18T00:30:15Z"},{"alias_kind":"arxiv_version","alias_value":"1711.06726v1","created_at":"2026-05-18T00:30:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1711.06726","created_at":"2026-05-18T00:30:15Z"},{"alias_kind":"pith_short_12","alias_value":"7TJBYAI5V4W2","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"7TJBYAI5V4W2JV6L","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"7TJBYAI5","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:fc54a51722a9e8e609c09e139a8248e4ca936674e4208eec536d783985563ec9","target":"graph","created_at":"2026-05-18T00:30:15Z","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":"In this paper we present a constitutive model to describe unsaturated flow that considers the hysteresis phenomena. This constitutive model provides simple mathematical expressions for both saturation and hydraulic conductivity curves, and a relationship between permeability and porosity. The model is based on the assumption that the porous media can be represented by a bundle of capillary tubes with throats or \"ink-bottles\" and a fractal pore size distribution. Under these hypotheses, hysteretic curves are obtained for saturation and relative hydraulic conductivity in terms of pressure head. ","authors_text":"Damien Jougnot, Luis Guarracino, Mariangeles Soldi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.geo-ph","submitted_at":"2017-11-17T21:08:15Z","title":"A simple hysteretic constitutive model for unsaturated flow"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1711.06726","kind":"arxiv","version":1},"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":"sha256:289fa7c7b285bf8c4d781324b5abad8b202fd9afaa3b8a77557747b20ba9e0f9","target":"record","created_at":"2026-05-18T00:30:15Z","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":"ef2fabe21cdd4f4236fe615b4a1d1dd120dea85816d64c00af92bbe8009a5ddd","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.geo-ph","submitted_at":"2017-11-17T21:08:15Z","title_canon_sha256":"e89bcc5f96854a7206ae42db07fe5325b60bf88d6f1c1677be2332ce2756c384"},"schema_version":"1.0","source":{"id":"1711.06726","kind":"arxiv","version":1}},"canonical_sha256":"fcd21c011daf2da4d7cb11292615769d34506ffd3ff94ae6aeb3cb5fa115a148","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fcd21c011daf2da4d7cb11292615769d34506ffd3ff94ae6aeb3cb5fa115a148","first_computed_at":"2026-05-18T00:30:15.815407Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:30:15.815407Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VEwO9ZiuukQQEalY2eNfSoYCgh/JmudnPRC8vY9fwkiNJRK0RK/9Qwobre6Br+x/vUH2C0kID3Zda4EobKvGCw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:30:15.816265Z","signed_message":"canonical_sha256_bytes"},"source_id":"1711.06726","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:289fa7c7b285bf8c4d781324b5abad8b202fd9afaa3b8a77557747b20ba9e0f9","sha256:fc54a51722a9e8e609c09e139a8248e4ca936674e4208eec536d783985563ec9"],"state_sha256":"8b36cb129b0d1f5ab7cc9de465cbf305ae858188f9c2b5a40c6b8382de0ff562"}