{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:F7WXAWDPLFBNFEPODWRSBKJSSZ","short_pith_number":"pith:F7WXAWDP","canonical_record":{"source":{"id":"1708.07392","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-08-24T13:25:43Z","cross_cats_sorted":[],"title_canon_sha256":"7ba93942e7aab1d23316918683892164b754394e9b00203a6e8fe8a50d10f4e3","abstract_canon_sha256":"622c3975374b0cffed8e2ce030cd2147ff07bf230d5ac1a9b6d33925236f91d0"},"schema_version":"1.0"},"canonical_sha256":"2fed70586f5942d291ee1da320a932967eca4deeb16c8dbb1ed592d05d17a90f","source":{"kind":"arxiv","id":"1708.07392","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.07392","created_at":"2026-05-18T00:35:54Z"},{"alias_kind":"arxiv_version","alias_value":"1708.07392v2","created_at":"2026-05-18T00:35:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.07392","created_at":"2026-05-18T00:35:54Z"},{"alias_kind":"pith_short_12","alias_value":"F7WXAWDPLFBN","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"F7WXAWDPLFBNFEPO","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"F7WXAWDP","created_at":"2026-05-18T12:31:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:F7WXAWDPLFBNFEPODWRSBKJSSZ","target":"record","payload":{"canonical_record":{"source":{"id":"1708.07392","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-08-24T13:25:43Z","cross_cats_sorted":[],"title_canon_sha256":"7ba93942e7aab1d23316918683892164b754394e9b00203a6e8fe8a50d10f4e3","abstract_canon_sha256":"622c3975374b0cffed8e2ce030cd2147ff07bf230d5ac1a9b6d33925236f91d0"},"schema_version":"1.0"},"canonical_sha256":"2fed70586f5942d291ee1da320a932967eca4deeb16c8dbb1ed592d05d17a90f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:35:54.957275Z","signature_b64":"1yH1rc56fIURXEq1lsrYXG7WLrT+F0mLzZ6s4quG6c+wt1wtxTvpjqX1rGCAPO6DhPYzSiokRvkHdhZD2YOoCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2fed70586f5942d291ee1da320a932967eca4deeb16c8dbb1ed592d05d17a90f","last_reissued_at":"2026-05-18T00:35:54.956796Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:35:54.956796Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1708.07392","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":"2026-05-18T00:35:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b4kN2TdfO3vlMxrjluON0pa04ohjq67cGvKnMa/9FIoP9bbCcv781CiLhGdF1B8J75QtUMU9HqJ3B9Vr7vYSAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T06:47:49.032294Z"},"content_sha256":"556809c9e9c030e627d308f3f956a5293273389be825cbacec5c79683db015f0","schema_version":"1.0","event_id":"sha256:556809c9e9c030e627d308f3f956a5293273389be825cbacec5c79683db015f0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:F7WXAWDPLFBNFEPODWRSBKJSSZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Serrin's problem and Alexandrov's Soap Bubble Theorem: enhanced stability via integral identities","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Giorgio Poggesi, Rolando Magnanini","submitted_at":"2017-08-24T13:25:43Z","abstract_excerpt":"We consider Serrin's overdetermined problem for the torsional rigidity and Alexandrov's Soap Bubble Theorem. We present new integral identities, that show a strong analogy between the two problems and help to obtain better (in some cases optimal) quantitative estimates for the radially symmetric configuration. The estimates for the Soap Bubble Theorem benefit from those of Serrin's problem."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.07392","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":""},"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":"2026-05-18T00:35:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"fuU8ZxPoVvmGG9nDeZCoaRZ03iB7+pJ1qCL5PBaCJ3yJlHabmJkfLnQGk7Jc8TAiiuQULTpr1NJgF2fjjRrpBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T06:47:49.032662Z"},"content_sha256":"c0ec927c48f7d7c6d65735af05d9227f6cb43655a5a0a8a08980e732d1a0a774","schema_version":"1.0","event_id":"sha256:c0ec927c48f7d7c6d65735af05d9227f6cb43655a5a0a8a08980e732d1a0a774"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/F7WXAWDPLFBNFEPODWRSBKJSSZ/bundle.json","state_url":"https://pith.science/pith/F7WXAWDPLFBNFEPODWRSBKJSSZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/F7WXAWDPLFBNFEPODWRSBKJSSZ/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":"2026-06-24T06:47:49Z","links":{"resolver":"https://pith.science/pith/F7WXAWDPLFBNFEPODWRSBKJSSZ","bundle":"https://pith.science/pith/F7WXAWDPLFBNFEPODWRSBKJSSZ/bundle.json","state":"https://pith.science/pith/F7WXAWDPLFBNFEPODWRSBKJSSZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/F7WXAWDPLFBNFEPODWRSBKJSSZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:F7WXAWDPLFBNFEPODWRSBKJSSZ","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":"622c3975374b0cffed8e2ce030cd2147ff07bf230d5ac1a9b6d33925236f91d0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-08-24T13:25:43Z","title_canon_sha256":"7ba93942e7aab1d23316918683892164b754394e9b00203a6e8fe8a50d10f4e3"},"schema_version":"1.0","source":{"id":"1708.07392","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1708.07392","created_at":"2026-05-18T00:35:54Z"},{"alias_kind":"arxiv_version","alias_value":"1708.07392v2","created_at":"2026-05-18T00:35:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1708.07392","created_at":"2026-05-18T00:35:54Z"},{"alias_kind":"pith_short_12","alias_value":"F7WXAWDPLFBN","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_16","alias_value":"F7WXAWDPLFBNFEPO","created_at":"2026-05-18T12:31:15Z"},{"alias_kind":"pith_short_8","alias_value":"F7WXAWDP","created_at":"2026-05-18T12:31:15Z"}],"graph_snapshots":[{"event_id":"sha256:c0ec927c48f7d7c6d65735af05d9227f6cb43655a5a0a8a08980e732d1a0a774","target":"graph","created_at":"2026-05-18T00:35:54Z","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 consider Serrin's overdetermined problem for the torsional rigidity and Alexandrov's Soap Bubble Theorem. We present new integral identities, that show a strong analogy between the two problems and help to obtain better (in some cases optimal) quantitative estimates for the radially symmetric configuration. The estimates for the Soap Bubble Theorem benefit from those of Serrin's problem.","authors_text":"Giorgio Poggesi, Rolando Magnanini","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-08-24T13:25:43Z","title":"Serrin's problem and Alexandrov's Soap Bubble Theorem: enhanced stability via integral identities"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1708.07392","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":"sha256:556809c9e9c030e627d308f3f956a5293273389be825cbacec5c79683db015f0","target":"record","created_at":"2026-05-18T00:35:54Z","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":"622c3975374b0cffed8e2ce030cd2147ff07bf230d5ac1a9b6d33925236f91d0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2017-08-24T13:25:43Z","title_canon_sha256":"7ba93942e7aab1d23316918683892164b754394e9b00203a6e8fe8a50d10f4e3"},"schema_version":"1.0","source":{"id":"1708.07392","kind":"arxiv","version":2}},"canonical_sha256":"2fed70586f5942d291ee1da320a932967eca4deeb16c8dbb1ed592d05d17a90f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2fed70586f5942d291ee1da320a932967eca4deeb16c8dbb1ed592d05d17a90f","first_computed_at":"2026-05-18T00:35:54.956796Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:35:54.956796Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1yH1rc56fIURXEq1lsrYXG7WLrT+F0mLzZ6s4quG6c+wt1wtxTvpjqX1rGCAPO6DhPYzSiokRvkHdhZD2YOoCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:35:54.957275Z","signed_message":"canonical_sha256_bytes"},"source_id":"1708.07392","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:556809c9e9c030e627d308f3f956a5293273389be825cbacec5c79683db015f0","sha256:c0ec927c48f7d7c6d65735af05d9227f6cb43655a5a0a8a08980e732d1a0a774"],"state_sha256":"170881203d40a1d16bdcadb31550eaa4586c1b8a155038ed03e37c14bd1cc122"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PPsZfwM4gWKV6dMtnlajvzHcbsfGpe0EFxZpqltPvPLH+4nfcVzgQDHcoZTDy5dYxQRUTpmny3d5/FqcQEjYAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T06:47:49.034548Z","bundle_sha256":"150374205947dc9d9da2d2bacc9db31fd9705fe833644c66dd8d369b69a63c44"}}