{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:7LN4NBW4BEZ4LEVAMNJTHDANW6","short_pith_number":"pith:7LN4NBW4","canonical_record":{"source":{"id":"2505.22245","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.NA","submitted_at":"2025-05-28T11:27:48Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"426f21b305572f3274084ec7b2964f9587ef78d1c7ef085cda00dcbabd3b1278","abstract_canon_sha256":"c650a5ec015acd017e5fd28edbf55bbb1a8fc122bbeffe2ab08b610f391f1cc7"},"schema_version":"1.0"},"canonical_sha256":"fadbc686dc0933c592a06353338c0db78957b72f3741ca7527f701e01db23cc9","source":{"kind":"arxiv","id":"2505.22245","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.22245","created_at":"2026-07-05T11:11:11Z"},{"alias_kind":"arxiv_version","alias_value":"2505.22245v1","created_at":"2026-07-05T11:11:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.22245","created_at":"2026-07-05T11:11:11Z"},{"alias_kind":"pith_short_12","alias_value":"7LN4NBW4BEZ4","created_at":"2026-07-05T11:11:11Z"},{"alias_kind":"pith_short_16","alias_value":"7LN4NBW4BEZ4LEVA","created_at":"2026-07-05T11:11:11Z"},{"alias_kind":"pith_short_8","alias_value":"7LN4NBW4","created_at":"2026-07-05T11:11:11Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:7LN4NBW4BEZ4LEVAMNJTHDANW6","target":"record","payload":{"canonical_record":{"source":{"id":"2505.22245","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.NA","submitted_at":"2025-05-28T11:27:48Z","cross_cats_sorted":["cs.NA"],"title_canon_sha256":"426f21b305572f3274084ec7b2964f9587ef78d1c7ef085cda00dcbabd3b1278","abstract_canon_sha256":"c650a5ec015acd017e5fd28edbf55bbb1a8fc122bbeffe2ab08b610f391f1cc7"},"schema_version":"1.0"},"canonical_sha256":"fadbc686dc0933c592a06353338c0db78957b72f3741ca7527f701e01db23cc9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:11:11.883935Z","signature_b64":"YEqhFyhxytLmTaKtyC/Nls44+v/96R9SPfiIlra96c5txuzWwhpOPwi+cbUdmJHQG0If4CTk4ZAbM9NxQlmgDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fadbc686dc0933c592a06353338c0db78957b72f3741ca7527f701e01db23cc9","last_reissued_at":"2026-07-05T11:11:11.883506Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:11:11.883506Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2505.22245","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":"2026-07-05T11:11:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qwE2/4FvqRkMVvQMWqFmKV3bY47bpRYNIV/fGu5VFe9Dngf5Lc6uAfV40Ee0jH9kTk7/doGm6FP9uj5nEN/GBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T23:27:03.355564Z"},"content_sha256":"353c55c43fad186d9a15316a9576c1c2439dc0b95193748e5eec28d2282eeb43","schema_version":"1.0","event_id":"sha256:353c55c43fad186d9a15316a9576c1c2439dc0b95193748e5eec28d2282eeb43"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:7LN4NBW4BEZ4LEVAMNJTHDANW6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Direct Algorithms for Reconstructing Small Conductivity Inclusions in Subdiffusion","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["cs.NA"],"primary_cat":"math.NA","authors_text":"Bangti Jin, Jiho Hong, Zhizhang Wu","submitted_at":"2025-05-28T11:27:48Z","abstract_excerpt":"The subdiffusion model that involves a Caputo fractional derivative in time is widely used to describe anomalously slow diffusion processes. In this work we aim at recovering the locations of small conductivity inclusions in the model from boundary measurement, and develop novel direct algorithms based on the asymptotic expansion of the boundary measurement with respect to the size of the inclusions and approximate fundamental solutions. These algorithms involve only algebraic manipulations and are computationally cheap. To the best of our knowledge, they are first direct algorithms for the in"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.22245","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2505.22245/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":"2026-07-05T11:11:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HpHnh50xHfDua4doJK+gaKWi++jpfo/PoFSU5jbxrIi31BkKEACo5BLwcv7WgOQKkpvZLTqZzcxKVR2MRCoSAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T23:27:03.356099Z"},"content_sha256":"f2ed612b2b861b6a0f7e6feb2b0f98b5e92ee41545c637fe5566bcb0dd5923b4","schema_version":"1.0","event_id":"sha256:f2ed612b2b861b6a0f7e6feb2b0f98b5e92ee41545c637fe5566bcb0dd5923b4"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7LN4NBW4BEZ4LEVAMNJTHDANW6/bundle.json","state_url":"https://pith.science/pith/7LN4NBW4BEZ4LEVAMNJTHDANW6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7LN4NBW4BEZ4LEVAMNJTHDANW6/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":"2026-08-07T23:27:03Z","links":{"resolver":"https://pith.science/pith/7LN4NBW4BEZ4LEVAMNJTHDANW6","bundle":"https://pith.science/pith/7LN4NBW4BEZ4LEVAMNJTHDANW6/bundle.json","state":"https://pith.science/pith/7LN4NBW4BEZ4LEVAMNJTHDANW6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7LN4NBW4BEZ4LEVAMNJTHDANW6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:7LN4NBW4BEZ4LEVAMNJTHDANW6","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":"c650a5ec015acd017e5fd28edbf55bbb1a8fc122bbeffe2ab08b610f391f1cc7","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.NA","submitted_at":"2025-05-28T11:27:48Z","title_canon_sha256":"426f21b305572f3274084ec7b2964f9587ef78d1c7ef085cda00dcbabd3b1278"},"schema_version":"1.0","source":{"id":"2505.22245","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2505.22245","created_at":"2026-07-05T11:11:11Z"},{"alias_kind":"arxiv_version","alias_value":"2505.22245v1","created_at":"2026-07-05T11:11:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2505.22245","created_at":"2026-07-05T11:11:11Z"},{"alias_kind":"pith_short_12","alias_value":"7LN4NBW4BEZ4","created_at":"2026-07-05T11:11:11Z"},{"alias_kind":"pith_short_16","alias_value":"7LN4NBW4BEZ4LEVA","created_at":"2026-07-05T11:11:11Z"},{"alias_kind":"pith_short_8","alias_value":"7LN4NBW4","created_at":"2026-07-05T11:11:11Z"}],"graph_snapshots":[{"event_id":"sha256:f2ed612b2b861b6a0f7e6feb2b0f98b5e92ee41545c637fe5566bcb0dd5923b4","target":"graph","created_at":"2026-07-05T11:11:11Z","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/2505.22245/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The subdiffusion model that involves a Caputo fractional derivative in time is widely used to describe anomalously slow diffusion processes. In this work we aim at recovering the locations of small conductivity inclusions in the model from boundary measurement, and develop novel direct algorithms based on the asymptotic expansion of the boundary measurement with respect to the size of the inclusions and approximate fundamental solutions. These algorithms involve only algebraic manipulations and are computationally cheap. To the best of our knowledge, they are first direct algorithms for the in","authors_text":"Bangti Jin, Jiho Hong, Zhizhang Wu","cross_cats":["cs.NA"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.NA","submitted_at":"2025-05-28T11:27:48Z","title":"Direct Algorithms for Reconstructing Small Conductivity Inclusions in Subdiffusion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2505.22245","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":"sha256:353c55c43fad186d9a15316a9576c1c2439dc0b95193748e5eec28d2282eeb43","target":"record","created_at":"2026-07-05T11:11:11Z","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":"c650a5ec015acd017e5fd28edbf55bbb1a8fc122bbeffe2ab08b610f391f1cc7","cross_cats_sorted":["cs.NA"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.NA","submitted_at":"2025-05-28T11:27:48Z","title_canon_sha256":"426f21b305572f3274084ec7b2964f9587ef78d1c7ef085cda00dcbabd3b1278"},"schema_version":"1.0","source":{"id":"2505.22245","kind":"arxiv","version":1}},"canonical_sha256":"fadbc686dc0933c592a06353338c0db78957b72f3741ca7527f701e01db23cc9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fadbc686dc0933c592a06353338c0db78957b72f3741ca7527f701e01db23cc9","first_computed_at":"2026-07-05T11:11:11.883506Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:11:11.883506Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"YEqhFyhxytLmTaKtyC/Nls44+v/96R9SPfiIlra96c5txuzWwhpOPwi+cbUdmJHQG0If4CTk4ZAbM9NxQlmgDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:11:11.883935Z","signed_message":"canonical_sha256_bytes"},"source_id":"2505.22245","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:353c55c43fad186d9a15316a9576c1c2439dc0b95193748e5eec28d2282eeb43","sha256:f2ed612b2b861b6a0f7e6feb2b0f98b5e92ee41545c637fe5566bcb0dd5923b4"],"state_sha256":"9475559c6dccbdfe0ba69799d3519aabcfcc206a6a0c9c65d6aa8691d6fdcc88"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hownrZNZ+tNbIqPZFXvhghefYpU75sBoiZay4q1NhNesSK/cjVCk73I23aYkyda9X+3oHl7HDDvJJUr9SPc8Bg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T23:27:03.360002Z","bundle_sha256":"dcae25ef26fd3e327d77001b06e9c6ea38a651617452f4d94a8bc6e605c20174"}}