{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:6S7MMEGKM4DKIYQCOKWFYNAUUR","short_pith_number":"pith:6S7MMEGK","canonical_record":{"source":{"id":"1609.05169","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-09-16T18:28:49Z","cross_cats_sorted":[],"title_canon_sha256":"40375ce0278764f98d21093f9c62217f32cdd6de10c61656d605baafe5f627b3","abstract_canon_sha256":"bd3c0795cf5d25d90fb57b00a6c93a9fde86fe85d912742c3d6e28a684320e08"},"schema_version":"1.0"},"canonical_sha256":"f4bec610ca6706a4620272ac5c3414a471788e13d901ffaac559f24fc3175711","source":{"kind":"arxiv","id":"1609.05169","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.05169","created_at":"2026-05-18T00:02:28Z"},{"alias_kind":"arxiv_version","alias_value":"1609.05169v4","created_at":"2026-05-18T00:02:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.05169","created_at":"2026-05-18T00:02:28Z"},{"alias_kind":"pith_short_12","alias_value":"6S7MMEGKM4DK","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"6S7MMEGKM4DKIYQC","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"6S7MMEGK","created_at":"2026-05-18T12:30:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:6S7MMEGKM4DKIYQCOKWFYNAUUR","target":"record","payload":{"canonical_record":{"source":{"id":"1609.05169","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-09-16T18:28:49Z","cross_cats_sorted":[],"title_canon_sha256":"40375ce0278764f98d21093f9c62217f32cdd6de10c61656d605baafe5f627b3","abstract_canon_sha256":"bd3c0795cf5d25d90fb57b00a6c93a9fde86fe85d912742c3d6e28a684320e08"},"schema_version":"1.0"},"canonical_sha256":"f4bec610ca6706a4620272ac5c3414a471788e13d901ffaac559f24fc3175711","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:02:28.390580Z","signature_b64":"s4/885yR3qza6xlTX8W9c6oWqnKnp9NIeV25O3Ebv+PJ1gS5jgBVnuJjmsBySKwY+pIbtDPBdcnTotk/SwnTCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f4bec610ca6706a4620272ac5c3414a471788e13d901ffaac559f24fc3175711","last_reissued_at":"2026-05-18T00:02:28.390025Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:02:28.390025Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.05169","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:02:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"e/YQCKF8MfRgmeRox3MWkrLhpthX8pxtQIFuS0qyD8MM0lfXHWqsOSuoIag76vfuL6UKals63UH6ESXRA1P4Dg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T11:28:47.614210Z"},"content_sha256":"d6680ea55d84c990b3d8665587a43618b8d7e7b4acda90a8831b469c763087f1","schema_version":"1.0","event_id":"sha256:d6680ea55d84c990b3d8665587a43618b8d7e7b4acda90a8831b469c763087f1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:6S7MMEGKM4DKIYQCOKWFYNAUUR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An integral Relationship for a new Fractional One-phase Stefan Problem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Domingo Tarzia, Sabrina Roscani","submitted_at":"2016-09-16T18:28:49Z","abstract_excerpt":"A one-dimensional fractional one-phase Stefan problem with a temperature boundary condition at the fixed face is considered. An integral relationship between the temperature and the free boundary is obtained which is equivalent to the fractional Stefan condition. Moreover, an exact solution of similarity type expressed in terms of Wright functions is given."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.05169","kind":"arxiv","version":4},"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":"2026-05-18T00:02:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mBNXMK/JvQ+c9dE9Z4G9EK0PEY4BA2LjlcmQnWKW54rELui12xiTVn4jDmAt+zyB6BMUP2/65WVChrzMitxzDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-03T11:28:47.614570Z"},"content_sha256":"70f514610e9f9b78cbe2eb24e33d92241cdb153ad78e8c41d98559e6d4135918","schema_version":"1.0","event_id":"sha256:70f514610e9f9b78cbe2eb24e33d92241cdb153ad78e8c41d98559e6d4135918"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6S7MMEGKM4DKIYQCOKWFYNAUUR/bundle.json","state_url":"https://pith.science/pith/6S7MMEGKM4DKIYQCOKWFYNAUUR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6S7MMEGKM4DKIYQCOKWFYNAUUR/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":"2026-07-03T11:28:47Z","links":{"resolver":"https://pith.science/pith/6S7MMEGKM4DKIYQCOKWFYNAUUR","bundle":"https://pith.science/pith/6S7MMEGKM4DKIYQCOKWFYNAUUR/bundle.json","state":"https://pith.science/pith/6S7MMEGKM4DKIYQCOKWFYNAUUR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6S7MMEGKM4DKIYQCOKWFYNAUUR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:6S7MMEGKM4DKIYQCOKWFYNAUUR","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":"bd3c0795cf5d25d90fb57b00a6c93a9fde86fe85d912742c3d6e28a684320e08","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-09-16T18:28:49Z","title_canon_sha256":"40375ce0278764f98d21093f9c62217f32cdd6de10c61656d605baafe5f627b3"},"schema_version":"1.0","source":{"id":"1609.05169","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.05169","created_at":"2026-05-18T00:02:28Z"},{"alias_kind":"arxiv_version","alias_value":"1609.05169v4","created_at":"2026-05-18T00:02:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.05169","created_at":"2026-05-18T00:02:28Z"},{"alias_kind":"pith_short_12","alias_value":"6S7MMEGKM4DK","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_16","alias_value":"6S7MMEGKM4DKIYQC","created_at":"2026-05-18T12:30:01Z"},{"alias_kind":"pith_short_8","alias_value":"6S7MMEGK","created_at":"2026-05-18T12:30:01Z"}],"graph_snapshots":[{"event_id":"sha256:70f514610e9f9b78cbe2eb24e33d92241cdb153ad78e8c41d98559e6d4135918","target":"graph","created_at":"2026-05-18T00:02:28Z","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 one-dimensional fractional one-phase Stefan problem with a temperature boundary condition at the fixed face is considered. An integral relationship between the temperature and the free boundary is obtained which is equivalent to the fractional Stefan condition. Moreover, an exact solution of similarity type expressed in terms of Wright functions is given.","authors_text":"Domingo Tarzia, Sabrina Roscani","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-09-16T18:28:49Z","title":"An integral Relationship for a new Fractional One-phase Stefan Problem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.05169","kind":"arxiv","version":4},"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:d6680ea55d84c990b3d8665587a43618b8d7e7b4acda90a8831b469c763087f1","target":"record","created_at":"2026-05-18T00:02:28Z","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":"bd3c0795cf5d25d90fb57b00a6c93a9fde86fe85d912742c3d6e28a684320e08","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-09-16T18:28:49Z","title_canon_sha256":"40375ce0278764f98d21093f9c62217f32cdd6de10c61656d605baafe5f627b3"},"schema_version":"1.0","source":{"id":"1609.05169","kind":"arxiv","version":4}},"canonical_sha256":"f4bec610ca6706a4620272ac5c3414a471788e13d901ffaac559f24fc3175711","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f4bec610ca6706a4620272ac5c3414a471788e13d901ffaac559f24fc3175711","first_computed_at":"2026-05-18T00:02:28.390025Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:02:28.390025Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"s4/885yR3qza6xlTX8W9c6oWqnKnp9NIeV25O3Ebv+PJ1gS5jgBVnuJjmsBySKwY+pIbtDPBdcnTotk/SwnTCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:02:28.390580Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.05169","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d6680ea55d84c990b3d8665587a43618b8d7e7b4acda90a8831b469c763087f1","sha256:70f514610e9f9b78cbe2eb24e33d92241cdb153ad78e8c41d98559e6d4135918"],"state_sha256":"6e0d761a7db20073ad0a81efd75891d465819ea87f679273e5248ad4b38d3000"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aePGbIEgcI/LCmFDaB8nd6pi82uia400FNC6eKnqUPYXak9yr49pCHQniqyrlVxWENppD2PuGRJIIZZVet7PCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-03T11:28:47.616556Z","bundle_sha256":"7a4ac2592d31e2d21260198d6837bbe756b1c136cfc0f138e1bdcb9f669dbec0"}}