{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:DLMAL2JKET324RK3MUT3CJZKB7","short_pith_number":"pith:DLMAL2JK","canonical_record":{"source":{"id":"2103.10052","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AP","submitted_at":"2021-03-18T07:27:58Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"78524dc1b104c12d103ee46b48434d781582d83e466f35f08cb46aef363c40b2","abstract_canon_sha256":"40409cdeb1af990ad93cc28aeb1d4813302356df35efada4e5e3e2b8d48c5ea4"},"schema_version":"1.0"},"canonical_sha256":"1ad805e92a24f7ae455b6527b1272a0fde900209889419fb1afdd3293152e403","source":{"kind":"arxiv","id":"2103.10052","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2103.10052","created_at":"2026-07-05T02:24:16Z"},{"alias_kind":"arxiv_version","alias_value":"2103.10052v1","created_at":"2026-07-05T02:24:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.10052","created_at":"2026-07-05T02:24:16Z"},{"alias_kind":"pith_short_12","alias_value":"DLMAL2JKET32","created_at":"2026-07-05T02:24:16Z"},{"alias_kind":"pith_short_16","alias_value":"DLMAL2JKET324RK3","created_at":"2026-07-05T02:24:16Z"},{"alias_kind":"pith_short_8","alias_value":"DLMAL2JK","created_at":"2026-07-05T02:24:16Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:DLMAL2JKET324RK3MUT3CJZKB7","target":"record","payload":{"canonical_record":{"source":{"id":"2103.10052","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AP","submitted_at":"2021-03-18T07:27:58Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"78524dc1b104c12d103ee46b48434d781582d83e466f35f08cb46aef363c40b2","abstract_canon_sha256":"40409cdeb1af990ad93cc28aeb1d4813302356df35efada4e5e3e2b8d48c5ea4"},"schema_version":"1.0"},"canonical_sha256":"1ad805e92a24f7ae455b6527b1272a0fde900209889419fb1afdd3293152e403","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:24:16.078085Z","signature_b64":"7sgI+Y1kB5q+ZfzAp4c/J1EtpFOxt4UC6rtYYa8TMvrJ85vzvBw1BGnIOQQMjMFdxHigx5aAuy7KeHEYT4XCAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1ad805e92a24f7ae455b6527b1272a0fde900209889419fb1afdd3293152e403","last_reissued_at":"2026-07-05T02:24:16.077736Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:24:16.077736Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2103.10052","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":"2026-07-05T02:24:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"c1yYsXohbopKNtAoXdRPEIkPLJB+B2fSlpSQNfJ63dhuZzW5P7EPAxEixOL91uCnDhIoTi0MQ+J7OB4DvB/tBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T17:59:23.461892Z"},"content_sha256":"65e54cf39c3fe61f45ced9adf3d203722df4be389c3fa547a03f39253bfa44ff","schema_version":"1.0","event_id":"sha256:65e54cf39c3fe61f45ced9adf3d203722df4be389c3fa547a03f39253bfa44ff"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:DLMAL2JKET324RK3MUT3CJZKB7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Structural stability for a thermal convection model with temperature-dependent solubility","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"math.AP","authors_text":"Brian Straughan, Michele Ciarletta, Vincenzo Tibullo","submitted_at":"2021-03-18T07:27:58Z","abstract_excerpt":"We study a problem involving thermosolutal convection in a fluid when the solute concentration is subject to a chemical reaction in which the solubility of the dissolved component is a function of temperature. When the spatial domain is a bounded one in $\\mathbb{R}^{2}$ we show that the solution depends continuously on the reaction rate using true \\emph{a priori} bounds for the solution when the chemical equilibrium function is an arbitrary function of temperature."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.10052","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/2103.10052/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":"2026-07-05T02:24:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Lho18pvFZOthK9q09KxVWS1nQAXhRMWhYieL0BMdArpdUvy+aqczH0kg2Gvk1CrAoZBoFAq+BaivP1aTn2Z7Ag==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T17:59:23.462408Z"},"content_sha256":"6c7a683926ce43938549a735d721bc680a81b221ae9c4377ed6b5f7eddbc48bf","schema_version":"1.0","event_id":"sha256:6c7a683926ce43938549a735d721bc680a81b221ae9c4377ed6b5f7eddbc48bf"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DLMAL2JKET324RK3MUT3CJZKB7/bundle.json","state_url":"https://pith.science/pith/DLMAL2JKET324RK3MUT3CJZKB7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DLMAL2JKET324RK3MUT3CJZKB7/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":"2026-08-07T17:59:23Z","links":{"resolver":"https://pith.science/pith/DLMAL2JKET324RK3MUT3CJZKB7","bundle":"https://pith.science/pith/DLMAL2JKET324RK3MUT3CJZKB7/bundle.json","state":"https://pith.science/pith/DLMAL2JKET324RK3MUT3CJZKB7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DLMAL2JKET324RK3MUT3CJZKB7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:DLMAL2JKET324RK3MUT3CJZKB7","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":"40409cdeb1af990ad93cc28aeb1d4813302356df35efada4e5e3e2b8d48c5ea4","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AP","submitted_at":"2021-03-18T07:27:58Z","title_canon_sha256":"78524dc1b104c12d103ee46b48434d781582d83e466f35f08cb46aef363c40b2"},"schema_version":"1.0","source":{"id":"2103.10052","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2103.10052","created_at":"2026-07-05T02:24:16Z"},{"alias_kind":"arxiv_version","alias_value":"2103.10052v1","created_at":"2026-07-05T02:24:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2103.10052","created_at":"2026-07-05T02:24:16Z"},{"alias_kind":"pith_short_12","alias_value":"DLMAL2JKET32","created_at":"2026-07-05T02:24:16Z"},{"alias_kind":"pith_short_16","alias_value":"DLMAL2JKET324RK3","created_at":"2026-07-05T02:24:16Z"},{"alias_kind":"pith_short_8","alias_value":"DLMAL2JK","created_at":"2026-07-05T02:24:16Z"}],"graph_snapshots":[{"event_id":"sha256:6c7a683926ce43938549a735d721bc680a81b221ae9c4377ed6b5f7eddbc48bf","target":"graph","created_at":"2026-07-05T02:24:16Z","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/2103.10052/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study a problem involving thermosolutal convection in a fluid when the solute concentration is subject to a chemical reaction in which the solubility of the dissolved component is a function of temperature. When the spatial domain is a bounded one in $\\mathbb{R}^{2}$ we show that the solution depends continuously on the reaction rate using true \\emph{a priori} bounds for the solution when the chemical equilibrium function is an arbitrary function of temperature.","authors_text":"Brian Straughan, Michele Ciarletta, Vincenzo Tibullo","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AP","submitted_at":"2021-03-18T07:27:58Z","title":"Structural stability for a thermal convection model with temperature-dependent solubility"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2103.10052","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":"sha256:65e54cf39c3fe61f45ced9adf3d203722df4be389c3fa547a03f39253bfa44ff","target":"record","created_at":"2026-07-05T02:24:16Z","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":"40409cdeb1af990ad93cc28aeb1d4813302356df35efada4e5e3e2b8d48c5ea4","cross_cats_sorted":["math-ph","math.MP"],"license":"http://creativecommons.org/licenses/by-nc-nd/4.0/","primary_cat":"math.AP","submitted_at":"2021-03-18T07:27:58Z","title_canon_sha256":"78524dc1b104c12d103ee46b48434d781582d83e466f35f08cb46aef363c40b2"},"schema_version":"1.0","source":{"id":"2103.10052","kind":"arxiv","version":1}},"canonical_sha256":"1ad805e92a24f7ae455b6527b1272a0fde900209889419fb1afdd3293152e403","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1ad805e92a24f7ae455b6527b1272a0fde900209889419fb1afdd3293152e403","first_computed_at":"2026-07-05T02:24:16.077736Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:24:16.077736Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"7sgI+Y1kB5q+ZfzAp4c/J1EtpFOxt4UC6rtYYa8TMvrJ85vzvBw1BGnIOQQMjMFdxHigx5aAuy7KeHEYT4XCAQ==","signature_status":"signed_v1","signed_at":"2026-07-05T02:24:16.078085Z","signed_message":"canonical_sha256_bytes"},"source_id":"2103.10052","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:65e54cf39c3fe61f45ced9adf3d203722df4be389c3fa547a03f39253bfa44ff","sha256:6c7a683926ce43938549a735d721bc680a81b221ae9c4377ed6b5f7eddbc48bf"],"state_sha256":"3fcb5c9f6f9374f7d6242b45501ae304daf5e4f289815f164bd91d7b8e2af636"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+H4YvkIZgWEhjRrUlHIW8LKm9Y7Jk9GdIELUHGy6S4hdEpbLuRg+/DNy2OB9G4AgAaimI2a+AQcE9fvi5QO2Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T17:59:23.466482Z","bundle_sha256":"62abafefccb93e31a4f5705f871f077a6be19bb9bc2e7639c0386617ce686fa7"}}