{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:5O36F66IFNYJHC6UZ234QDA5QM","short_pith_number":"pith:5O36F66I","canonical_record":{"source":{"id":"2509.26609","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2025-09-30T17:51:46Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"c00fa10b0aff81dac2a96828362100ac6d74c15d68c9a802d10267979d8cd830","abstract_canon_sha256":"7c420613dd6b075cf75486a84be51cce198cd7b2f4dd6cd17ba6933e2f9a3e9f"},"schema_version":"1.0"},"canonical_sha256":"ebb7e2fbc82b70938bd4ceb7c80c1d830fa5c9b0da9a19b366767a92eaecc660","source":{"kind":"arxiv","id":"2509.26609","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.26609","created_at":"2026-05-20T00:00:25Z"},{"alias_kind":"arxiv_version","alias_value":"2509.26609v2","created_at":"2026-05-20T00:00:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.26609","created_at":"2026-05-20T00:00:25Z"},{"alias_kind":"pith_short_12","alias_value":"5O36F66IFNYJ","created_at":"2026-05-20T00:00:25Z"},{"alias_kind":"pith_short_16","alias_value":"5O36F66IFNYJHC6U","created_at":"2026-05-20T00:00:25Z"},{"alias_kind":"pith_short_8","alias_value":"5O36F66I","created_at":"2026-05-20T00:00:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:5O36F66IFNYJHC6UZ234QDA5QM","target":"record","payload":{"canonical_record":{"source":{"id":"2509.26609","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2025-09-30T17:51:46Z","cross_cats_sorted":["math.MP"],"title_canon_sha256":"c00fa10b0aff81dac2a96828362100ac6d74c15d68c9a802d10267979d8cd830","abstract_canon_sha256":"7c420613dd6b075cf75486a84be51cce198cd7b2f4dd6cd17ba6933e2f9a3e9f"},"schema_version":"1.0"},"canonical_sha256":"ebb7e2fbc82b70938bd4ceb7c80c1d830fa5c9b0da9a19b366767a92eaecc660","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-20T00:00:25.020507Z","signature_b64":"DnSr0mVf7BcEQteULHsIRxobmAWYfW5g20105ONO/4mQJ7A0XZG5ui+1W9MIF0C3SDLvwspYLL/wob+lWDBRBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ebb7e2fbc82b70938bd4ceb7c80c1d830fa5c9b0da9a19b366767a92eaecc660","last_reissued_at":"2026-05-20T00:00:25.019706Z","signature_status":"signed_v1","first_computed_at":"2026-05-20T00:00:25.019706Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2509.26609","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":"2026-05-20T00:00:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tO/BYjdAolx2ikKN9p0gSln4AkS1rOLMyzQtnQjMLeJzbrmAfrkcBwQxnG67le+ezE1kREq7N1osrw4ZWYJDCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T13:55:40.287716Z"},"content_sha256":"0c715c083540e1d16ccbb5b387805592c18b4c759733c7f62fdea2398b4866d7","schema_version":"1.0","event_id":"sha256:0c715c083540e1d16ccbb5b387805592c18b4c759733c7f62fdea2398b4866d7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:5O36F66IFNYJHC6UZ234QDA5QM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Singularities at the vertex of connected angular inhomogeneities under thermal and elastic loading","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP"],"primary_cat":"math-ph","authors_text":"Chunlin Wu, Huiming Yin, Yuanpeng Yang","submitted_at":"2025-09-30T17:51:46Z","abstract_excerpt":"This paper investigates the singularities at the vertex of multiply connected angular inhomogeneities for heat conduction and elastic deformation. With the aid of Eshelby's equivalent inclusion method (EIM), each inhomogeneity is simulated as an equivalent inclusion, exhibiting the same material properties as the matrix but containing a continuously distributed eigen-field with potential singularities at the vertices and edge lines. Specifically, the eigen-temperature-gradient (ETG) and eigenstrain are utilized to simulate material mismatch of thermal conductivity and stiffness, respectively. "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.26609","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2509.26609/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-05-20T00:00:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Gfm0JQaGJnIH3aNT+2/bYQtnlvkQStxMokdc8m4+/nUwqmEneAd3aRdWCcQ5oIbTCVjnnD3UKJzBQkcMNcbzAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T13:55:40.288094Z"},"content_sha256":"19180896ce949d59527375fb50b9e10cb8f92d3a465a930e559254682af11a76","schema_version":"1.0","event_id":"sha256:19180896ce949d59527375fb50b9e10cb8f92d3a465a930e559254682af11a76"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5O36F66IFNYJHC6UZ234QDA5QM/bundle.json","state_url":"https://pith.science/pith/5O36F66IFNYJHC6UZ234QDA5QM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5O36F66IFNYJHC6UZ234QDA5QM/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":"2026-05-28T13:55:40Z","links":{"resolver":"https://pith.science/pith/5O36F66IFNYJHC6UZ234QDA5QM","bundle":"https://pith.science/pith/5O36F66IFNYJHC6UZ234QDA5QM/bundle.json","state":"https://pith.science/pith/5O36F66IFNYJHC6UZ234QDA5QM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5O36F66IFNYJHC6UZ234QDA5QM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:5O36F66IFNYJHC6UZ234QDA5QM","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":"7c420613dd6b075cf75486a84be51cce198cd7b2f4dd6cd17ba6933e2f9a3e9f","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2025-09-30T17:51:46Z","title_canon_sha256":"c00fa10b0aff81dac2a96828362100ac6d74c15d68c9a802d10267979d8cd830"},"schema_version":"1.0","source":{"id":"2509.26609","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2509.26609","created_at":"2026-05-20T00:00:25Z"},{"alias_kind":"arxiv_version","alias_value":"2509.26609v2","created_at":"2026-05-20T00:00:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2509.26609","created_at":"2026-05-20T00:00:25Z"},{"alias_kind":"pith_short_12","alias_value":"5O36F66IFNYJ","created_at":"2026-05-20T00:00:25Z"},{"alias_kind":"pith_short_16","alias_value":"5O36F66IFNYJHC6U","created_at":"2026-05-20T00:00:25Z"},{"alias_kind":"pith_short_8","alias_value":"5O36F66I","created_at":"2026-05-20T00:00:25Z"}],"graph_snapshots":[{"event_id":"sha256:19180896ce949d59527375fb50b9e10cb8f92d3a465a930e559254682af11a76","target":"graph","created_at":"2026-05-20T00:00:25Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2509.26609/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper investigates the singularities at the vertex of multiply connected angular inhomogeneities for heat conduction and elastic deformation. With the aid of Eshelby's equivalent inclusion method (EIM), each inhomogeneity is simulated as an equivalent inclusion, exhibiting the same material properties as the matrix but containing a continuously distributed eigen-field with potential singularities at the vertices and edge lines. Specifically, the eigen-temperature-gradient (ETG) and eigenstrain are utilized to simulate material mismatch of thermal conductivity and stiffness, respectively. ","authors_text":"Chunlin Wu, Huiming Yin, Yuanpeng Yang","cross_cats":["math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2025-09-30T17:51:46Z","title":"Singularities at the vertex of connected angular inhomogeneities under thermal and elastic loading"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2509.26609","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":"sha256:0c715c083540e1d16ccbb5b387805592c18b4c759733c7f62fdea2398b4866d7","target":"record","created_at":"2026-05-20T00:00:25Z","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":"7c420613dd6b075cf75486a84be51cce198cd7b2f4dd6cd17ba6933e2f9a3e9f","cross_cats_sorted":["math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2025-09-30T17:51:46Z","title_canon_sha256":"c00fa10b0aff81dac2a96828362100ac6d74c15d68c9a802d10267979d8cd830"},"schema_version":"1.0","source":{"id":"2509.26609","kind":"arxiv","version":2}},"canonical_sha256":"ebb7e2fbc82b70938bd4ceb7c80c1d830fa5c9b0da9a19b366767a92eaecc660","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ebb7e2fbc82b70938bd4ceb7c80c1d830fa5c9b0da9a19b366767a92eaecc660","first_computed_at":"2026-05-20T00:00:25.019706Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-20T00:00:25.019706Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"DnSr0mVf7BcEQteULHsIRxobmAWYfW5g20105ONO/4mQJ7A0XZG5ui+1W9MIF0C3SDLvwspYLL/wob+lWDBRBQ==","signature_status":"signed_v1","signed_at":"2026-05-20T00:00:25.020507Z","signed_message":"canonical_sha256_bytes"},"source_id":"2509.26609","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0c715c083540e1d16ccbb5b387805592c18b4c759733c7f62fdea2398b4866d7","sha256:19180896ce949d59527375fb50b9e10cb8f92d3a465a930e559254682af11a76"],"state_sha256":"cbdfca37117e7e9317cdb6beed69ff57011f9abd27ca74a6c5bb78a4e5010fd4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"To4f1HwQ2fLcDa4qzvdoBoQxhBdUbPHN8jeswl8ny9FIABpHaHk20S9+6bortfdgYx1Gw4MvmREw/KL8sbMQAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T13:55:40.290355Z","bundle_sha256":"03771e8eb5dd77298b493074c9dd158b187b96dc3bf2fd42ccea8c81b43cb45b"}}