{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2002:3TLTLPEVOQTXEZIGL7K645RSTK","short_pith_number":"pith:3TLTLPEV","canonical_record":{"source":{"id":"cond-mat/0211207","kind":"arxiv","version":5},"metadata":{"license":"","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2002-11-11T15:58:17Z","cross_cats_sorted":[],"title_canon_sha256":"c0bdfa025a0e8d0678f23f4e0318503b53417f1471dce934c8669fbf4b092e7b","abstract_canon_sha256":"64b175ff8c022146244a511d06dca60252f5122feb4c35767b657749058323e4"},"schema_version":"1.0"},"canonical_sha256":"dcd735bc9574277265065fd5ee76329ab6d51ce753d506fb6794c0621068822f","source":{"kind":"arxiv","id":"cond-mat/0211207","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0211207","created_at":"2026-05-18T01:40:02Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0211207v5","created_at":"2026-05-18T01:40:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0211207","created_at":"2026-05-18T01:40:02Z"},{"alias_kind":"pith_short_12","alias_value":"3TLTLPEVOQTX","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"3TLTLPEVOQTXEZIG","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"3TLTLPEV","created_at":"2026-05-18T12:25:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2002:3TLTLPEVOQTXEZIGL7K645RSTK","target":"record","payload":{"canonical_record":{"source":{"id":"cond-mat/0211207","kind":"arxiv","version":5},"metadata":{"license":"","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2002-11-11T15:58:17Z","cross_cats_sorted":[],"title_canon_sha256":"c0bdfa025a0e8d0678f23f4e0318503b53417f1471dce934c8669fbf4b092e7b","abstract_canon_sha256":"64b175ff8c022146244a511d06dca60252f5122feb4c35767b657749058323e4"},"schema_version":"1.0"},"canonical_sha256":"dcd735bc9574277265065fd5ee76329ab6d51ce753d506fb6794c0621068822f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:40:02.457637Z","signature_b64":"T6LsKSWt51CxhtW1GdcK8hDEeGYMb8smwglzD7msiNGkdjVChg8POXrBqWhEokVbfpGtJuZlW30pa0l62wreDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dcd735bc9574277265065fd5ee76329ab6d51ce753d506fb6794c0621068822f","last_reissued_at":"2026-05-18T01:40:02.457046Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:40:02.457046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"cond-mat/0211207","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:40:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"n3gK0Xo4dmLuZStl5b2MnhyTLz884RKZy61GMH0uc7fNxo29B0Wr+bAd9sPVebq1BljgVFILyEG+TQHre2u3Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T18:09:05.886202Z"},"content_sha256":"89272207c0d6085a241b5974689a2cac66f6527db6ee8b53bcb4a2ca5768f3a4","schema_version":"1.0","event_id":"sha256:89272207c0d6085a241b5974689a2cac66f6527db6ee8b53bcb4a2ca5768f3a4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2002:3TLTLPEVOQTXEZIGL7K645RSTK","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Griffith cracks in the mesoscopic microcrack theory","license":"","headline":"","cross_cats":[],"primary_cat":"cond-mat.mtrl-sci","authors_text":"C. Papenfuss, P. Van, W. Muschik","submitted_at":"2002-11-11T15:58:17Z","abstract_excerpt":"The mesoscopic concept is applied to the description of microcracked brittle materials. The mesoscopic equations are solved in a special case when the microcracks are developing according to the Rice-Griffith evolution law. The evolution of the crack distribution function is investigated in case of simple loading conditions and for two different initial crack distribution functions. The time dependence of the average crack length is calculated, too."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0211207","kind":"arxiv","version":5},"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":"2026-05-18T01:40:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6daQWafWz362/2OKbH0iI+5moGjN2goT1kldcwydlVMovaEPmNCuJ5jFt25IrWBMu6X1MX+zGRscdRSI3mlvCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T18:09:05.886556Z"},"content_sha256":"de5a48121fda502dec87ed10fcec261370c6df9f9ccf0d82f4095225fdf02b87","schema_version":"1.0","event_id":"sha256:de5a48121fda502dec87ed10fcec261370c6df9f9ccf0d82f4095225fdf02b87"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3TLTLPEVOQTXEZIGL7K645RSTK/bundle.json","state_url":"https://pith.science/pith/3TLTLPEVOQTXEZIGL7K645RSTK/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3TLTLPEVOQTXEZIGL7K645RSTK/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":"2026-06-27T18:09:05Z","links":{"resolver":"https://pith.science/pith/3TLTLPEVOQTXEZIGL7K645RSTK","bundle":"https://pith.science/pith/3TLTLPEVOQTXEZIGL7K645RSTK/bundle.json","state":"https://pith.science/pith/3TLTLPEVOQTXEZIGL7K645RSTK/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3TLTLPEVOQTXEZIGL7K645RSTK/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2002:3TLTLPEVOQTXEZIGL7K645RSTK","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":"64b175ff8c022146244a511d06dca60252f5122feb4c35767b657749058323e4","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2002-11-11T15:58:17Z","title_canon_sha256":"c0bdfa025a0e8d0678f23f4e0318503b53417f1471dce934c8669fbf4b092e7b"},"schema_version":"1.0","source":{"id":"cond-mat/0211207","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"cond-mat/0211207","created_at":"2026-05-18T01:40:02Z"},{"alias_kind":"arxiv_version","alias_value":"cond-mat/0211207v5","created_at":"2026-05-18T01:40:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.cond-mat/0211207","created_at":"2026-05-18T01:40:02Z"},{"alias_kind":"pith_short_12","alias_value":"3TLTLPEVOQTX","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_16","alias_value":"3TLTLPEVOQTXEZIG","created_at":"2026-05-18T12:25:50Z"},{"alias_kind":"pith_short_8","alias_value":"3TLTLPEV","created_at":"2026-05-18T12:25:50Z"}],"graph_snapshots":[{"event_id":"sha256:de5a48121fda502dec87ed10fcec261370c6df9f9ccf0d82f4095225fdf02b87","target":"graph","created_at":"2026-05-18T01:40:02Z","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":"The mesoscopic concept is applied to the description of microcracked brittle materials. The mesoscopic equations are solved in a special case when the microcracks are developing according to the Rice-Griffith evolution law. The evolution of the crack distribution function is investigated in case of simple loading conditions and for two different initial crack distribution functions. The time dependence of the average crack length is calculated, too.","authors_text":"C. Papenfuss, P. Van, W. Muschik","cross_cats":[],"headline":"","license":"","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2002-11-11T15:58:17Z","title":"Griffith cracks in the mesoscopic microcrack theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"cond-mat/0211207","kind":"arxiv","version":5},"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":"sha256:89272207c0d6085a241b5974689a2cac66f6527db6ee8b53bcb4a2ca5768f3a4","target":"record","created_at":"2026-05-18T01:40:02Z","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":"64b175ff8c022146244a511d06dca60252f5122feb4c35767b657749058323e4","cross_cats_sorted":[],"license":"","primary_cat":"cond-mat.mtrl-sci","submitted_at":"2002-11-11T15:58:17Z","title_canon_sha256":"c0bdfa025a0e8d0678f23f4e0318503b53417f1471dce934c8669fbf4b092e7b"},"schema_version":"1.0","source":{"id":"cond-mat/0211207","kind":"arxiv","version":5}},"canonical_sha256":"dcd735bc9574277265065fd5ee76329ab6d51ce753d506fb6794c0621068822f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dcd735bc9574277265065fd5ee76329ab6d51ce753d506fb6794c0621068822f","first_computed_at":"2026-05-18T01:40:02.457046Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:40:02.457046Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"T6LsKSWt51CxhtW1GdcK8hDEeGYMb8smwglzD7msiNGkdjVChg8POXrBqWhEokVbfpGtJuZlW30pa0l62wreDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:40:02.457637Z","signed_message":"canonical_sha256_bytes"},"source_id":"cond-mat/0211207","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:89272207c0d6085a241b5974689a2cac66f6527db6ee8b53bcb4a2ca5768f3a4","sha256:de5a48121fda502dec87ed10fcec261370c6df9f9ccf0d82f4095225fdf02b87"],"state_sha256":"165c0ddf132fb43d546d1a9f60f9fd21afed6d2bcbe73c288a51f4d38b642588"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZWeao7AO2Ssohv8Lx3MDEwHvVIuBZqyXgU4OrOFODgktleD1me3T1TEJIburV9olJbS/2BxGBHugrCUmduEKDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T18:09:05.888533Z","bundle_sha256":"0683be0b8c682a265bedf4a9052e2fb10ae24423e87cc52ed21dc3cb8bed613a"}}