{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:JL73FR5S33KZBDXBKTXJFJUIJT","short_pith_number":"pith:JL73FR5S","canonical_record":{"source":{"id":"1010.1823","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-10-09T09:56:23Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"0a242c0cb7b22945a19f5624b7f31f2917d9be9c4b4bdd608fe01150164d82cf","abstract_canon_sha256":"369bd769268aab5a1c754d8014e2935a6da814181747492bd39afbfa1a5c5813"},"schema_version":"1.0"},"canonical_sha256":"4affb2c7b2ded5908ee154ee92a6884cc15772c28657f72dd49d66738c83ab28","source":{"kind":"arxiv","id":"1010.1823","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.1823","created_at":"2026-05-18T04:39:38Z"},{"alias_kind":"arxiv_version","alias_value":"1010.1823v1","created_at":"2026-05-18T04:39:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.1823","created_at":"2026-05-18T04:39:38Z"},{"alias_kind":"pith_short_12","alias_value":"JL73FR5S33KZ","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"JL73FR5S33KZBDXB","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"JL73FR5S","created_at":"2026-05-18T12:26:09Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:JL73FR5S33KZBDXBKTXJFJUIJT","target":"record","payload":{"canonical_record":{"source":{"id":"1010.1823","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-10-09T09:56:23Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"0a242c0cb7b22945a19f5624b7f31f2917d9be9c4b4bdd608fe01150164d82cf","abstract_canon_sha256":"369bd769268aab5a1c754d8014e2935a6da814181747492bd39afbfa1a5c5813"},"schema_version":"1.0"},"canonical_sha256":"4affb2c7b2ded5908ee154ee92a6884cc15772c28657f72dd49d66738c83ab28","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:39:38.459931Z","signature_b64":"reDjN6xeo1K8PKeXdX8gWJIJA5NrQRTgBbLQQDgfpId6zP7Ryy8QkXiv0zew1QrolV7iAsb/ok+tsIdH6gy5CQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"4affb2c7b2ded5908ee154ee92a6884cc15772c28657f72dd49d66738c83ab28","last_reissued_at":"2026-05-18T04:39:38.459481Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:39:38.459481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1010.1823","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":"2026-05-18T04:39:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"COJSLHgPQj6ZWeGX6E+D/foJLj0pEFcHpILoRyT+1Gmif302N6C8dvU9K9jMC+E6rgJ7yXHqF7qWW/O0s3AkBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T00:33:55.476081Z"},"content_sha256":"19284cbaa9cb622ec0d52e495e233f5ae82327b6d8e31d15a31de576218607d8","schema_version":"1.0","event_id":"sha256:19284cbaa9cb622ec0d52e495e233f5ae82327b6d8e31d15a31de576218607d8"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:JL73FR5S33KZBDXBKTXJFJUIJT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Yield criteria for quasibrittle and frictional materials","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Andrea Piccolroaz, Davide Bigoni","submitted_at":"2010-10-09T09:56:23Z","abstract_excerpt":"A new yield/damage function is proposed for modelling the inelastic behaviour of a broad class of pressure-sensitive, frictional, ductile and brittle-cohesive materials. The yield function allows the possibility of describing a transition between the shape of a yield surface typical of a class of materials to that typical of another class of materals. This is a fundamental key to model the behaviour of materials which become cohesive during hardening (so that the shape of the yield surface evolves from that typical of a granular material to that typical of a dense material), or which decrease "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.1823","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":"2026-05-18T04:39:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8Sxn/vqxV4r7CebUYtrkYzAteyZ46yCgwR/ZKZqrdwS7pqqaTiBVTzk/Io7XUUa1YIX5S0M+6oRoz6vLU2JaAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-01T00:33:55.476884Z"},"content_sha256":"776f3071bde0cc1c5265684458941f291e2cd8db2a291cc5b5d96fe599219c9e","schema_version":"1.0","event_id":"sha256:776f3071bde0cc1c5265684458941f291e2cd8db2a291cc5b5d96fe599219c9e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JL73FR5S33KZBDXBKTXJFJUIJT/bundle.json","state_url":"https://pith.science/pith/JL73FR5S33KZBDXBKTXJFJUIJT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JL73FR5S33KZBDXBKTXJFJUIJT/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":"2026-06-01T00:33:55Z","links":{"resolver":"https://pith.science/pith/JL73FR5S33KZBDXBKTXJFJUIJT","bundle":"https://pith.science/pith/JL73FR5S33KZBDXBKTXJFJUIJT/bundle.json","state":"https://pith.science/pith/JL73FR5S33KZBDXBKTXJFJUIJT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JL73FR5S33KZBDXBKTXJFJUIJT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:JL73FR5S33KZBDXBKTXJFJUIJT","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":"369bd769268aab5a1c754d8014e2935a6da814181747492bd39afbfa1a5c5813","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-10-09T09:56:23Z","title_canon_sha256":"0a242c0cb7b22945a19f5624b7f31f2917d9be9c4b4bdd608fe01150164d82cf"},"schema_version":"1.0","source":{"id":"1010.1823","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1010.1823","created_at":"2026-05-18T04:39:38Z"},{"alias_kind":"arxiv_version","alias_value":"1010.1823v1","created_at":"2026-05-18T04:39:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1010.1823","created_at":"2026-05-18T04:39:38Z"},{"alias_kind":"pith_short_12","alias_value":"JL73FR5S33KZ","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_16","alias_value":"JL73FR5S33KZBDXB","created_at":"2026-05-18T12:26:09Z"},{"alias_kind":"pith_short_8","alias_value":"JL73FR5S","created_at":"2026-05-18T12:26:09Z"}],"graph_snapshots":[{"event_id":"sha256:776f3071bde0cc1c5265684458941f291e2cd8db2a291cc5b5d96fe599219c9e","target":"graph","created_at":"2026-05-18T04:39:38Z","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 new yield/damage function is proposed for modelling the inelastic behaviour of a broad class of pressure-sensitive, frictional, ductile and brittle-cohesive materials. The yield function allows the possibility of describing a transition between the shape of a yield surface typical of a class of materials to that typical of another class of materals. This is a fundamental key to model the behaviour of materials which become cohesive during hardening (so that the shape of the yield surface evolves from that typical of a granular material to that typical of a dense material), or which decrease ","authors_text":"Andrea Piccolroaz, Davide Bigoni","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-10-09T09:56:23Z","title":"Yield criteria for quasibrittle and frictional materials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1010.1823","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":"sha256:19284cbaa9cb622ec0d52e495e233f5ae82327b6d8e31d15a31de576218607d8","target":"record","created_at":"2026-05-18T04:39:38Z","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":"369bd769268aab5a1c754d8014e2935a6da814181747492bd39afbfa1a5c5813","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2010-10-09T09:56:23Z","title_canon_sha256":"0a242c0cb7b22945a19f5624b7f31f2917d9be9c4b4bdd608fe01150164d82cf"},"schema_version":"1.0","source":{"id":"1010.1823","kind":"arxiv","version":1}},"canonical_sha256":"4affb2c7b2ded5908ee154ee92a6884cc15772c28657f72dd49d66738c83ab28","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"4affb2c7b2ded5908ee154ee92a6884cc15772c28657f72dd49d66738c83ab28","first_computed_at":"2026-05-18T04:39:38.459481Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:39:38.459481Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"reDjN6xeo1K8PKeXdX8gWJIJA5NrQRTgBbLQQDgfpId6zP7Ryy8QkXiv0zew1QrolV7iAsb/ok+tsIdH6gy5CQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:39:38.459931Z","signed_message":"canonical_sha256_bytes"},"source_id":"1010.1823","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:19284cbaa9cb622ec0d52e495e233f5ae82327b6d8e31d15a31de576218607d8","sha256:776f3071bde0cc1c5265684458941f291e2cd8db2a291cc5b5d96fe599219c9e"],"state_sha256":"92545059a2854cec02d3c869f1eb8eb3eac2019c3bf668d424b17cad136f81f2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ch22lcUX/YmYr6u4rLXLBUqpBV1S9NC8vVlXviTUkvDJfnA9yeUfmBm6eoKg44CkjL4nqV2nUf7Lg2tp03Y3CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-01T00:33:55.481801Z","bundle_sha256":"3d30405876d4e79a2841246166db42018fce262b32cbb7888f0744602933443d"}}