{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:LKTU3UDJTAINMMYBZDRU36KQQX","short_pith_number":"pith:LKTU3UDJ","canonical_record":{"source":{"id":"0712.3657","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.AP","submitted_at":"2007-12-21T10:18:38Z","cross_cats_sorted":[],"title_canon_sha256":"bc156945783fe1fb4df9ab02936fa7ffc1acfc0bfdba3e36b4b9c906d8166bad","abstract_canon_sha256":"2b46f4f277ff0adec3e2deddecfd9f985f0c7e8e612802bd10eb5f22a2719878"},"schema_version":"1.0"},"canonical_sha256":"5aa74dd0699810d63301c8e34df95085f6d719ba1d1ec4f128655b904d5a313c","source":{"kind":"arxiv","id":"0712.3657","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0712.3657","created_at":"2026-05-18T04:36:50Z"},{"alias_kind":"arxiv_version","alias_value":"0712.3657v1","created_at":"2026-05-18T04:36:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0712.3657","created_at":"2026-05-18T04:36:50Z"},{"alias_kind":"pith_short_12","alias_value":"LKTU3UDJTAIN","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"LKTU3UDJTAINMMYB","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"LKTU3UDJ","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:LKTU3UDJTAINMMYBZDRU36KQQX","target":"record","payload":{"canonical_record":{"source":{"id":"0712.3657","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"math.AP","submitted_at":"2007-12-21T10:18:38Z","cross_cats_sorted":[],"title_canon_sha256":"bc156945783fe1fb4df9ab02936fa7ffc1acfc0bfdba3e36b4b9c906d8166bad","abstract_canon_sha256":"2b46f4f277ff0adec3e2deddecfd9f985f0c7e8e612802bd10eb5f22a2719878"},"schema_version":"1.0"},"canonical_sha256":"5aa74dd0699810d63301c8e34df95085f6d719ba1d1ec4f128655b904d5a313c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:36:50.561653Z","signature_b64":"SJskabUa0sR+hGOIH8T7LAEf3yk/+/8APDt6J3s60w4xNO/kgFwbMpV/WYNiQSjiMM3EXFaNn3655jmqyL6iAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5aa74dd0699810d63301c8e34df95085f6d719ba1d1ec4f128655b904d5a313c","last_reissued_at":"2026-05-18T04:36:50.561117Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:36:50.561117Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0712.3657","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":"2026-05-18T04:36:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"S5E+0wUx6C5dn1oD/VJs1FVBGzsPl3bM4vKmc4vPvUZNmfeQoFBFER3Z4+T+XV7op3CYUZGQxLUq5CCSFFc3Cw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T21:33:00.491571Z"},"content_sha256":"6fad11331a65e4ed77cf5b018d5db4d0d2acaf3dcea67101dac6eb4bc1a61954","schema_version":"1.0","event_id":"sha256:6fad11331a65e4ed77cf5b018d5db4d0d2acaf3dcea67101dac6eb4bc1a61954"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:LKTU3UDJTAINMMYBZDRU36KQQX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Symmetry of singular solutions of degenerate quasilinear elliptic equations","license":"","headline":"","cross_cats":[],"primary_cat":"math.AP","authors_text":"Edi Rosset, Giovanni Alessandrini","submitted_at":"2007-12-21T10:18:38Z","abstract_excerpt":"We prove radial symmetry of singular solutions to an overdetermined boundary value problem for a class of degenerate quasilinear elliptic equations."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0712.3657","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":""},"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":"2026-05-18T04:36:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+MccPsjKe83pcXQ8c9LuzGzUlrElNUfKoUFBUO0x0C78RsFGv4S/Gg9MecrSR78Eethm6svXC9qaKB6bbMClBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T21:33:00.492067Z"},"content_sha256":"2470205892402672a1457ae2321b25045c27a51d4f98b587da3ebc73ad86afd6","schema_version":"1.0","event_id":"sha256:2470205892402672a1457ae2321b25045c27a51d4f98b587da3ebc73ad86afd6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LKTU3UDJTAINMMYBZDRU36KQQX/bundle.json","state_url":"https://pith.science/pith/LKTU3UDJTAINMMYBZDRU36KQQX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LKTU3UDJTAINMMYBZDRU36KQQX/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":"2026-06-25T21:33:00Z","links":{"resolver":"https://pith.science/pith/LKTU3UDJTAINMMYBZDRU36KQQX","bundle":"https://pith.science/pith/LKTU3UDJTAINMMYBZDRU36KQQX/bundle.json","state":"https://pith.science/pith/LKTU3UDJTAINMMYBZDRU36KQQX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LKTU3UDJTAINMMYBZDRU36KQQX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:LKTU3UDJTAINMMYBZDRU36KQQX","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":"2b46f4f277ff0adec3e2deddecfd9f985f0c7e8e612802bd10eb5f22a2719878","cross_cats_sorted":[],"license":"","primary_cat":"math.AP","submitted_at":"2007-12-21T10:18:38Z","title_canon_sha256":"bc156945783fe1fb4df9ab02936fa7ffc1acfc0bfdba3e36b4b9c906d8166bad"},"schema_version":"1.0","source":{"id":"0712.3657","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0712.3657","created_at":"2026-05-18T04:36:50Z"},{"alias_kind":"arxiv_version","alias_value":"0712.3657v1","created_at":"2026-05-18T04:36:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0712.3657","created_at":"2026-05-18T04:36:50Z"},{"alias_kind":"pith_short_12","alias_value":"LKTU3UDJTAIN","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"LKTU3UDJTAINMMYB","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"LKTU3UDJ","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:2470205892402672a1457ae2321b25045c27a51d4f98b587da3ebc73ad86afd6","target":"graph","created_at":"2026-05-18T04:36:50Z","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 prove radial symmetry of singular solutions to an overdetermined boundary value problem for a class of degenerate quasilinear elliptic equations.","authors_text":"Edi Rosset, Giovanni Alessandrini","cross_cats":[],"headline":"","license":"","primary_cat":"math.AP","submitted_at":"2007-12-21T10:18:38Z","title":"Symmetry of singular solutions of degenerate quasilinear elliptic equations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0712.3657","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":"sha256:6fad11331a65e4ed77cf5b018d5db4d0d2acaf3dcea67101dac6eb4bc1a61954","target":"record","created_at":"2026-05-18T04:36:50Z","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":"2b46f4f277ff0adec3e2deddecfd9f985f0c7e8e612802bd10eb5f22a2719878","cross_cats_sorted":[],"license":"","primary_cat":"math.AP","submitted_at":"2007-12-21T10:18:38Z","title_canon_sha256":"bc156945783fe1fb4df9ab02936fa7ffc1acfc0bfdba3e36b4b9c906d8166bad"},"schema_version":"1.0","source":{"id":"0712.3657","kind":"arxiv","version":1}},"canonical_sha256":"5aa74dd0699810d63301c8e34df95085f6d719ba1d1ec4f128655b904d5a313c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5aa74dd0699810d63301c8e34df95085f6d719ba1d1ec4f128655b904d5a313c","first_computed_at":"2026-05-18T04:36:50.561117Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:36:50.561117Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SJskabUa0sR+hGOIH8T7LAEf3yk/+/8APDt6J3s60w4xNO/kgFwbMpV/WYNiQSjiMM3EXFaNn3655jmqyL6iAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:36:50.561653Z","signed_message":"canonical_sha256_bytes"},"source_id":"0712.3657","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6fad11331a65e4ed77cf5b018d5db4d0d2acaf3dcea67101dac6eb4bc1a61954","sha256:2470205892402672a1457ae2321b25045c27a51d4f98b587da3ebc73ad86afd6"],"state_sha256":"864ff87ef353be54fe6ec327298c9a8cb27f1f2f5be89803ee034fce0269fa8d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0vY8tKOn9DPz4it43J0dD2rAWZvW92rXc7SDnIjh9k8fO/wo3VmYY2ijbXzgmZNTP0L3NnYISXUD7O0iYVQmBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T21:33:00.494690Z","bundle_sha256":"63f830ccb5d4e2477c292b072e345821f3e43c811f7df70162881872059be2e1"}}