{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:Q4KHSB7JBRYRGSN5MVUA5VZNGJ","short_pith_number":"pith:Q4KHSB7J","canonical_record":{"source":{"id":"1807.00910","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-07-02T22:05:20Z","cross_cats_sorted":[],"title_canon_sha256":"f7676542233dea4c9d53824746643158b7c1bac9a9ba88041e44a3b2da594dd0","abstract_canon_sha256":"8274434490effbfbc5736ba54244c979849de12d8336dc1318eb0a2bb34415b1"},"schema_version":"1.0"},"canonical_sha256":"87147907e90c711349bd65680ed72d32427d53f776a0a1efaceeeb787a8d08a9","source":{"kind":"arxiv","id":"1807.00910","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.00910","created_at":"2026-05-18T00:11:24Z"},{"alias_kind":"arxiv_version","alias_value":"1807.00910v2","created_at":"2026-05-18T00:11:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.00910","created_at":"2026-05-18T00:11:24Z"},{"alias_kind":"pith_short_12","alias_value":"Q4KHSB7JBRYR","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"Q4KHSB7JBRYRGSN5","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"Q4KHSB7J","created_at":"2026-05-18T12:32:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:Q4KHSB7JBRYRGSN5MVUA5VZNGJ","target":"record","payload":{"canonical_record":{"source":{"id":"1807.00910","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-07-02T22:05:20Z","cross_cats_sorted":[],"title_canon_sha256":"f7676542233dea4c9d53824746643158b7c1bac9a9ba88041e44a3b2da594dd0","abstract_canon_sha256":"8274434490effbfbc5736ba54244c979849de12d8336dc1318eb0a2bb34415b1"},"schema_version":"1.0"},"canonical_sha256":"87147907e90c711349bd65680ed72d32427d53f776a0a1efaceeeb787a8d08a9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:11:24.891899Z","signature_b64":"z+TmvtmXqteSfhZ+8wacLrDWSwMcj/1JldLVnLEOW/rc3qSUCIbOZKkkN/z4j/yiIo3IKmHw79wJKQiQdxWYBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"87147907e90c711349bd65680ed72d32427d53f776a0a1efaceeeb787a8d08a9","last_reissued_at":"2026-05-18T00:11:24.891463Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:11:24.891463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1807.00910","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:11:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"9UAu2W/5dKhgO2DXv1kFQY28QKXKSFOFtXnnyN466ny4hFC/doPpEGgcLAHrHpzjj74zZOADZp3MjGQSzUF2BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T11:30:06.368527Z"},"content_sha256":"9f6e2b93da01671c57c1fcaa941d137ee9e475f4c76961d5b19fdb90b1e07451","schema_version":"1.0","event_id":"sha256:9f6e2b93da01671c57c1fcaa941d137ee9e475f4c76961d5b19fdb90b1e07451"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:Q4KHSB7JBRYRGSN5MVUA5VZNGJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Thermodynamics of elastoplastic porous rocks at large strains towards earthquake modeling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Tomas Roubicek, Ulisse Stefanelli","submitted_at":"2018-07-02T22:05:20Z","abstract_excerpt":"A mathematical model for an elastoplastic porous continuum subject to large strains in combination with reversible damage (aging), evolving porosity, water and heat transfer is advanced. The inelastic response is modeled within the frame of plasticity for nonsimple materials. Water and heat diffuse through the continuum by a generalized Fick-Darcy law in the context of viscous Cahn-Hilliard dynamics and by Fourier law, respectively. This coupling of phenomena is paramount to the description of lithospheric faults, which experience ruptures (tectonic earthquakes) originating seismic waves and f"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.00910","kind":"arxiv","version":2},"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":"2026-05-18T00:11:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4idehSqgU3RoDyyMmVm6SRYIEYCQAq/pWHlKqkCXv0W5maQYYH791McMTpw10qb6ofIMvX+lFdWfiB6Kt9wMCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-21T11:30:06.368868Z"},"content_sha256":"a4f64074fca5a437aac61fd73a6b4ed569721cfec3f141d4a6c462d80eca7ec6","schema_version":"1.0","event_id":"sha256:a4f64074fca5a437aac61fd73a6b4ed569721cfec3f141d4a6c462d80eca7ec6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/Q4KHSB7JBRYRGSN5MVUA5VZNGJ/bundle.json","state_url":"https://pith.science/pith/Q4KHSB7JBRYRGSN5MVUA5VZNGJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/Q4KHSB7JBRYRGSN5MVUA5VZNGJ/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":"2026-06-21T11:30:06Z","links":{"resolver":"https://pith.science/pith/Q4KHSB7JBRYRGSN5MVUA5VZNGJ","bundle":"https://pith.science/pith/Q4KHSB7JBRYRGSN5MVUA5VZNGJ/bundle.json","state":"https://pith.science/pith/Q4KHSB7JBRYRGSN5MVUA5VZNGJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/Q4KHSB7JBRYRGSN5MVUA5VZNGJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:Q4KHSB7JBRYRGSN5MVUA5VZNGJ","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":"8274434490effbfbc5736ba54244c979849de12d8336dc1318eb0a2bb34415b1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-07-02T22:05:20Z","title_canon_sha256":"f7676542233dea4c9d53824746643158b7c1bac9a9ba88041e44a3b2da594dd0"},"schema_version":"1.0","source":{"id":"1807.00910","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1807.00910","created_at":"2026-05-18T00:11:24Z"},{"alias_kind":"arxiv_version","alias_value":"1807.00910v2","created_at":"2026-05-18T00:11:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1807.00910","created_at":"2026-05-18T00:11:24Z"},{"alias_kind":"pith_short_12","alias_value":"Q4KHSB7JBRYR","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"Q4KHSB7JBRYRGSN5","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"Q4KHSB7J","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:a4f64074fca5a437aac61fd73a6b4ed569721cfec3f141d4a6c462d80eca7ec6","target":"graph","created_at":"2026-05-18T00:11:24Z","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":"A mathematical model for an elastoplastic porous continuum subject to large strains in combination with reversible damage (aging), evolving porosity, water and heat transfer is advanced. The inelastic response is modeled within the frame of plasticity for nonsimple materials. Water and heat diffuse through the continuum by a generalized Fick-Darcy law in the context of viscous Cahn-Hilliard dynamics and by Fourier law, respectively. This coupling of phenomena is paramount to the description of lithospheric faults, which experience ruptures (tectonic earthquakes) originating seismic waves and f","authors_text":"Tomas Roubicek, Ulisse Stefanelli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-07-02T22:05:20Z","title":"Thermodynamics of elastoplastic porous rocks at large strains towards earthquake modeling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1807.00910","kind":"arxiv","version":2},"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":"sha256:9f6e2b93da01671c57c1fcaa941d137ee9e475f4c76961d5b19fdb90b1e07451","target":"record","created_at":"2026-05-18T00:11:24Z","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":"8274434490effbfbc5736ba54244c979849de12d8336dc1318eb0a2bb34415b1","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2018-07-02T22:05:20Z","title_canon_sha256":"f7676542233dea4c9d53824746643158b7c1bac9a9ba88041e44a3b2da594dd0"},"schema_version":"1.0","source":{"id":"1807.00910","kind":"arxiv","version":2}},"canonical_sha256":"87147907e90c711349bd65680ed72d32427d53f776a0a1efaceeeb787a8d08a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"87147907e90c711349bd65680ed72d32427d53f776a0a1efaceeeb787a8d08a9","first_computed_at":"2026-05-18T00:11:24.891463Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:11:24.891463Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"z+TmvtmXqteSfhZ+8wacLrDWSwMcj/1JldLVnLEOW/rc3qSUCIbOZKkkN/z4j/yiIo3IKmHw79wJKQiQdxWYBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:11:24.891899Z","signed_message":"canonical_sha256_bytes"},"source_id":"1807.00910","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9f6e2b93da01671c57c1fcaa941d137ee9e475f4c76961d5b19fdb90b1e07451","sha256:a4f64074fca5a437aac61fd73a6b4ed569721cfec3f141d4a6c462d80eca7ec6"],"state_sha256":"327101667f9f1e912414de5a08549dc9eedcf26a7226c3af7fbd02d4b8063566"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"TbcTfaYhXa+8PnOpLLdsERIHHTJf63voU4sGe0ML4h8BD/PCbyE82R3vS9XOnLdkk/0OBQEFIoJMFkxEMEu3Aw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-21T11:30:06.370775Z","bundle_sha256":"0431b3e0c42dc656a3b827debb52a5f8697172c391f0e6139b8ba8e678df6d67"}}