{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:4TL572TQF2JRJOAT6XVCO4SSVN","short_pith_number":"pith:4TL572TQ","canonical_record":{"source":{"id":"1701.04046","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-01-15T14:06:31Z","cross_cats_sorted":[],"title_canon_sha256":"372f42718c2a2559e3a5eab727bebbad706109e931826a7dc3f430199f12740b","abstract_canon_sha256":"ba97cdc873b21639618947e1d7b98ab6f0d8c36256f5ea1c36e2fedb9d147dc0"},"schema_version":"1.0"},"canonical_sha256":"e4d7dfea702e9314b813f5ea277252ab5461fc52dd824a8e9f7521111083c97d","source":{"kind":"arxiv","id":"1701.04046","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.04046","created_at":"2026-05-17T23:59:10Z"},{"alias_kind":"arxiv_version","alias_value":"1701.04046v3","created_at":"2026-05-17T23:59:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.04046","created_at":"2026-05-17T23:59:10Z"},{"alias_kind":"pith_short_12","alias_value":"4TL572TQF2JR","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"4TL572TQF2JRJOAT","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"4TL572TQ","created_at":"2026-05-18T12:31:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:4TL572TQF2JRJOAT6XVCO4SSVN","target":"record","payload":{"canonical_record":{"source":{"id":"1701.04046","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-01-15T14:06:31Z","cross_cats_sorted":[],"title_canon_sha256":"372f42718c2a2559e3a5eab727bebbad706109e931826a7dc3f430199f12740b","abstract_canon_sha256":"ba97cdc873b21639618947e1d7b98ab6f0d8c36256f5ea1c36e2fedb9d147dc0"},"schema_version":"1.0"},"canonical_sha256":"e4d7dfea702e9314b813f5ea277252ab5461fc52dd824a8e9f7521111083c97d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:59:10.340341Z","signature_b64":"/AUwTvJAout2MTB6ZlhSylx+JOcxttEveKLKVIsleYkOFmTTDTHbEykyg03qZadlJqGx4SvruUP90zhPGeZDDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e4d7dfea702e9314b813f5ea277252ab5461fc52dd824a8e9f7521111083c97d","last_reissued_at":"2026-05-17T23:59:10.339864Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:59:10.339864Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1701.04046","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-17T23:59:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0vIL4h/rbmbI8LG5VtWuCGJN8zVemu0vzrSflqXdnac1crAZq7Ut/FpI6QrT8a2ki6hnotgN/ajIXvepndbwAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T04:29:43.161125Z"},"content_sha256":"d9690537b85f609fdc470f673cb9f353ef152ab8af9f9fd52c9b226b328c935d","schema_version":"1.0","event_id":"sha256:d9690537b85f609fdc470f673cb9f353ef152ab8af9f9fd52c9b226b328c935d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:4TL572TQF2JRJOAT6XVCO4SSVN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On time-fractional diffusion equations with space-dependent variable order","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Eric Soccorsi, Masahiro Yamamoto, Yavar Kian","submitted_at":"2017-01-15T14:06:31Z","abstract_excerpt":"We investigate diffusion equations with time-fractional derivatives of space-dependent variable order. We examine the well-posedness issue and prove that the space-dependent variable order coefficient is uniquely determined among other coefficients of these equations, by the knowledge of a suitable time-sequence of partial Dirichlet-to-Neumann maps."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.04046","kind":"arxiv","version":3},"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":"2026-05-17T23:59:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"X49Mr2XOkxNdNbnfhU2Z7a4M6Vq+c85iQl3EV6CDEEwfk1cjqGpykgXNqNzKI/tXVuW05Ynh+uHHhJwUf4cLAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T04:29:43.161496Z"},"content_sha256":"e416a904774e798d364e5fa022724d4e8d9cf4e2c4f3cfcf91d1ce7a11f8fb5f","schema_version":"1.0","event_id":"sha256:e416a904774e798d364e5fa022724d4e8d9cf4e2c4f3cfcf91d1ce7a11f8fb5f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4TL572TQF2JRJOAT6XVCO4SSVN/bundle.json","state_url":"https://pith.science/pith/4TL572TQF2JRJOAT6XVCO4SSVN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4TL572TQF2JRJOAT6XVCO4SSVN/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":"2026-05-28T04:29:43Z","links":{"resolver":"https://pith.science/pith/4TL572TQF2JRJOAT6XVCO4SSVN","bundle":"https://pith.science/pith/4TL572TQF2JRJOAT6XVCO4SSVN/bundle.json","state":"https://pith.science/pith/4TL572TQF2JRJOAT6XVCO4SSVN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4TL572TQF2JRJOAT6XVCO4SSVN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:4TL572TQF2JRJOAT6XVCO4SSVN","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":"ba97cdc873b21639618947e1d7b98ab6f0d8c36256f5ea1c36e2fedb9d147dc0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-01-15T14:06:31Z","title_canon_sha256":"372f42718c2a2559e3a5eab727bebbad706109e931826a7dc3f430199f12740b"},"schema_version":"1.0","source":{"id":"1701.04046","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1701.04046","created_at":"2026-05-17T23:59:10Z"},{"alias_kind":"arxiv_version","alias_value":"1701.04046v3","created_at":"2026-05-17T23:59:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1701.04046","created_at":"2026-05-17T23:59:10Z"},{"alias_kind":"pith_short_12","alias_value":"4TL572TQF2JR","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_16","alias_value":"4TL572TQF2JRJOAT","created_at":"2026-05-18T12:31:00Z"},{"alias_kind":"pith_short_8","alias_value":"4TL572TQ","created_at":"2026-05-18T12:31:00Z"}],"graph_snapshots":[{"event_id":"sha256:e416a904774e798d364e5fa022724d4e8d9cf4e2c4f3cfcf91d1ce7a11f8fb5f","target":"graph","created_at":"2026-05-17T23:59:10Z","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":"We investigate diffusion equations with time-fractional derivatives of space-dependent variable order. We examine the well-posedness issue and prove that the space-dependent variable order coefficient is uniquely determined among other coefficients of these equations, by the knowledge of a suitable time-sequence of partial Dirichlet-to-Neumann maps.","authors_text":"Eric Soccorsi, Masahiro Yamamoto, Yavar Kian","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-01-15T14:06:31Z","title":"On time-fractional diffusion equations with space-dependent variable order"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1701.04046","kind":"arxiv","version":3},"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:d9690537b85f609fdc470f673cb9f353ef152ab8af9f9fd52c9b226b328c935d","target":"record","created_at":"2026-05-17T23:59:10Z","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":"ba97cdc873b21639618947e1d7b98ab6f0d8c36256f5ea1c36e2fedb9d147dc0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-01-15T14:06:31Z","title_canon_sha256":"372f42718c2a2559e3a5eab727bebbad706109e931826a7dc3f430199f12740b"},"schema_version":"1.0","source":{"id":"1701.04046","kind":"arxiv","version":3}},"canonical_sha256":"e4d7dfea702e9314b813f5ea277252ab5461fc52dd824a8e9f7521111083c97d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e4d7dfea702e9314b813f5ea277252ab5461fc52dd824a8e9f7521111083c97d","first_computed_at":"2026-05-17T23:59:10.339864Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:59:10.339864Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/AUwTvJAout2MTB6ZlhSylx+JOcxttEveKLKVIsleYkOFmTTDTHbEykyg03qZadlJqGx4SvruUP90zhPGeZDDg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:59:10.340341Z","signed_message":"canonical_sha256_bytes"},"source_id":"1701.04046","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d9690537b85f609fdc470f673cb9f353ef152ab8af9f9fd52c9b226b328c935d","sha256:e416a904774e798d364e5fa022724d4e8d9cf4e2c4f3cfcf91d1ce7a11f8fb5f"],"state_sha256":"7f6509715a4870e64830d3a6c0a2e1cef18479976061c6bc7e7ab6d0106d8c3b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h3QWOuJXwbJhVeeSC7aEQVlQIPexK95B71mTvJ+7VHokTqrnmha05mxAKJ7/urhb67p3dTui0WAfKIMVMiXCCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T04:29:43.163433Z","bundle_sha256":"67c0d38104d240f5dae66348dda4601a659214a9ecfd6d5443b1e4412b990dd6"}}