{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:HRHKH7SUEGL732OT53ZHQM7N4J","short_pith_number":"pith:HRHKH7SU","canonical_record":{"source":{"id":"1303.6210","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-03-25T16:58:11Z","cross_cats_sorted":[],"title_canon_sha256":"0d4bd200c64fef17297f362656e1283e8a8b6e4477cf7a579052db43bed3db07","abstract_canon_sha256":"1303ceb6be056419f51bcfe727b0d495dcbefa2ed28d69bf7664be11b8ebc264"},"schema_version":"1.0"},"canonical_sha256":"3c4ea3fe542197fde9d3eef27833ede25c5342d76397882d45169d7dfd1dcae6","source":{"kind":"arxiv","id":"1303.6210","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.6210","created_at":"2026-05-18T03:29:51Z"},{"alias_kind":"arxiv_version","alias_value":"1303.6210v1","created_at":"2026-05-18T03:29:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.6210","created_at":"2026-05-18T03:29:51Z"},{"alias_kind":"pith_short_12","alias_value":"HRHKH7SUEGL7","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"HRHKH7SUEGL732OT","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"HRHKH7SU","created_at":"2026-05-18T12:27:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:HRHKH7SUEGL732OT53ZHQM7N4J","target":"record","payload":{"canonical_record":{"source":{"id":"1303.6210","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-03-25T16:58:11Z","cross_cats_sorted":[],"title_canon_sha256":"0d4bd200c64fef17297f362656e1283e8a8b6e4477cf7a579052db43bed3db07","abstract_canon_sha256":"1303ceb6be056419f51bcfe727b0d495dcbefa2ed28d69bf7664be11b8ebc264"},"schema_version":"1.0"},"canonical_sha256":"3c4ea3fe542197fde9d3eef27833ede25c5342d76397882d45169d7dfd1dcae6","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:29:51.643254Z","signature_b64":"M9+S0wGZx5j2qY8mvXlsMtzhvQR5FBmFkM4qZehVVARttq3x0Jihn0aJ6jQphUBF5WjKNfPuU4Z3h4u+2UFFDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3c4ea3fe542197fde9d3eef27833ede25c5342d76397882d45169d7dfd1dcae6","last_reissued_at":"2026-05-18T03:29:51.642537Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:29:51.642537Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.6210","source_version":1,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:29:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pR4XOlaDMekWLjgYcFypnxZ/I0ZntD5dZjPqIFMYX0564tLxPYWiL06QN2tIfOZXVTWeBFTCG+VvCSyWBw2tDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T21:09:52.620997Z"},"content_sha256":"e15ec45b134cda457690d65f493f7c127e4a6e77e43a636f25ca17b7ad7160f1","schema_version":"1.0","event_id":"sha256:e15ec45b134cda457690d65f493f7c127e4a6e77e43a636f25ca17b7ad7160f1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:HRHKH7SUEGL732OT53ZHQM7N4J","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Steady fluid flow in fissured porous media with imperfect contact","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Abdelhamid Ainouz","submitted_at":"2013-03-25T16:58:11Z","abstract_excerpt":"In this paper, periodic homogenization of a steady fluid flow in fissured porous solids with imperfect interfacial contact is performed via two-scale asymptotic method."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.6210","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"},"verdict_id":null},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:29:51Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VRa3afJH7bg8/NGbSkWn0KwWNZted+Qd3BCHq8w1+ufC+pkFRU4dfEvamhDbJOHX7XOushM/jwv2kLVTa1FqDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-22T21:09:52.621579Z"},"content_sha256":"87c55ea012eaf8f095142875676118deea2794f61b771e9cee7ac95f3331a02a","schema_version":"1.0","event_id":"sha256:87c55ea012eaf8f095142875676118deea2794f61b771e9cee7ac95f3331a02a"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HRHKH7SUEGL732OT53ZHQM7N4J/bundle.json","state_url":"https://pith.science/pith/HRHKH7SUEGL732OT53ZHQM7N4J/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HRHKH7SUEGL732OT53ZHQM7N4J/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":"2026-06-22T21:09:52Z","links":{"resolver":"https://pith.science/pith/HRHKH7SUEGL732OT53ZHQM7N4J","bundle":"https://pith.science/pith/HRHKH7SUEGL732OT53ZHQM7N4J/bundle.json","state":"https://pith.science/pith/HRHKH7SUEGL732OT53ZHQM7N4J/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HRHKH7SUEGL732OT53ZHQM7N4J/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:HRHKH7SUEGL732OT53ZHQM7N4J","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":"1303ceb6be056419f51bcfe727b0d495dcbefa2ed28d69bf7664be11b8ebc264","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-03-25T16:58:11Z","title_canon_sha256":"0d4bd200c64fef17297f362656e1283e8a8b6e4477cf7a579052db43bed3db07"},"schema_version":"1.0","source":{"id":"1303.6210","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.6210","created_at":"2026-05-18T03:29:51Z"},{"alias_kind":"arxiv_version","alias_value":"1303.6210v1","created_at":"2026-05-18T03:29:51Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.6210","created_at":"2026-05-18T03:29:51Z"},{"alias_kind":"pith_short_12","alias_value":"HRHKH7SUEGL7","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_16","alias_value":"HRHKH7SUEGL732OT","created_at":"2026-05-18T12:27:46Z"},{"alias_kind":"pith_short_8","alias_value":"HRHKH7SU","created_at":"2026-05-18T12:27:46Z"}],"graph_snapshots":[{"event_id":"sha256:87c55ea012eaf8f095142875676118deea2794f61b771e9cee7ac95f3331a02a","target":"graph","created_at":"2026-05-18T03:29:51Z","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, periodic homogenization of a steady fluid flow in fissured porous solids with imperfect interfacial contact is performed via two-scale asymptotic method.","authors_text":"Abdelhamid Ainouz","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-03-25T16:58:11Z","title":"Steady fluid flow in fissured porous media with imperfect contact"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.6210","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:e15ec45b134cda457690d65f493f7c127e4a6e77e43a636f25ca17b7ad7160f1","target":"record","created_at":"2026-05-18T03:29:51Z","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":"1303ceb6be056419f51bcfe727b0d495dcbefa2ed28d69bf7664be11b8ebc264","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2013-03-25T16:58:11Z","title_canon_sha256":"0d4bd200c64fef17297f362656e1283e8a8b6e4477cf7a579052db43bed3db07"},"schema_version":"1.0","source":{"id":"1303.6210","kind":"arxiv","version":1}},"canonical_sha256":"3c4ea3fe542197fde9d3eef27833ede25c5342d76397882d45169d7dfd1dcae6","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3c4ea3fe542197fde9d3eef27833ede25c5342d76397882d45169d7dfd1dcae6","first_computed_at":"2026-05-18T03:29:51.642537Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:29:51.642537Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"M9+S0wGZx5j2qY8mvXlsMtzhvQR5FBmFkM4qZehVVARttq3x0Jihn0aJ6jQphUBF5WjKNfPuU4Z3h4u+2UFFDg==","signature_status":"signed_v1","signed_at":"2026-05-18T03:29:51.643254Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.6210","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e15ec45b134cda457690d65f493f7c127e4a6e77e43a636f25ca17b7ad7160f1","sha256:87c55ea012eaf8f095142875676118deea2794f61b771e9cee7ac95f3331a02a"],"state_sha256":"027dc7a67ee527dda7e1cce5c40a9981925b357f75719ad3c638bb26ad613f74"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uOBYgICWMeXmpMenRKN1xn/8eJsfO0UkjxCU+nZTgdN3hDpfbI/MW3fEy7TrqtyQS5P+A7zCcMhhMqlorEX0Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-22T21:09:52.624728Z","bundle_sha256":"6299c353d2dc04c1e00dedf16741e0899090115a8a8b31fa209d165a36b8dfe7"}}