{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:XA3X4AQIH2W3TMVGM56QHVDXL7","short_pith_number":"pith:XA3X4AQI","canonical_record":{"source":{"id":"1409.0984","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2014-09-03T08:17:41Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"59ab8146cffa4f2d68a00e81b89cc8f75628719810876735e4bf4012b633f95d","abstract_canon_sha256":"03dae412083792744f3348210f21e470be9105c24623d741a815bb44422438dc"},"schema_version":"1.0"},"canonical_sha256":"b8377e02083eadb9b2a6677d03d4775fc6c5cbc0982ba49b8f963fd0e8557ba8","source":{"kind":"arxiv","id":"1409.0984","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.0984","created_at":"2026-05-18T02:43:44Z"},{"alias_kind":"arxiv_version","alias_value":"1409.0984v1","created_at":"2026-05-18T02:43:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.0984","created_at":"2026-05-18T02:43:44Z"},{"alias_kind":"pith_short_12","alias_value":"XA3X4AQIH2W3","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XA3X4AQIH2W3TMVG","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XA3X4AQI","created_at":"2026-05-18T12:28:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:XA3X4AQIH2W3TMVGM56QHVDXL7","target":"record","payload":{"canonical_record":{"source":{"id":"1409.0984","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2014-09-03T08:17:41Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"59ab8146cffa4f2d68a00e81b89cc8f75628719810876735e4bf4012b633f95d","abstract_canon_sha256":"03dae412083792744f3348210f21e470be9105c24623d741a815bb44422438dc"},"schema_version":"1.0"},"canonical_sha256":"b8377e02083eadb9b2a6677d03d4775fc6c5cbc0982ba49b8f963fd0e8557ba8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:43:44.621448Z","signature_b64":"gU7a1/FWVgkzyaHF+Smj4RA6hDCALU8Dg/iBtJM0SrP2vYg3iup4lS2qojJAoLWpLsVkyMyfpLCl4Ee1Pa8dBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b8377e02083eadb9b2a6677d03d4775fc6c5cbc0982ba49b8f963fd0e8557ba8","last_reissued_at":"2026-05-18T02:43:44.621038Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:43:44.621038Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1409.0984","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":"2026-05-18T02:43:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KLwa+D+DyLbXUp2Hv5P6urJENHSu+Mbspt1D4FeG2zO1sE+esGhYaM7pA41AtmV6Pmagkdb6SMK7tRKJkiqxBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T16:15:18.416800Z"},"content_sha256":"65f2303a4afdb1db45a27cc18aa471d6f1bb9e5ddd1f2799fef470aafc2fb9ec","schema_version":"1.0","event_id":"sha256:65f2303a4afdb1db45a27cc18aa471d6f1bb9e5ddd1f2799fef470aafc2fb9ec"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:XA3X4AQIH2W3TMVGM56QHVDXL7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Incidence axioms for the boundary at infinity of complex hyperbolic spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.MG","authors_text":"Sergei Buyalo, Viktor Schroeder","submitted_at":"2014-09-03T08:17:41Z","abstract_excerpt":"We characterize the boundary at infinity of a complex hyperbolic space as a compact Ptolemy space that satisfies four incidence axioms."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.0984","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":"2026-05-18T02:43:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I789gwADYelP09CEIi/W0zp/xI6cdx25+7Sylbl76Gg3IRYReK42iAN1WkcsmN7wnjiEjFTxKV08bjLspfEVCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T16:15:18.417138Z"},"content_sha256":"c3e5e60efd7feee9e437c83a6fe45de11fd2c3b0ecfda13c24a6f96b1d0e875f","schema_version":"1.0","event_id":"sha256:c3e5e60efd7feee9e437c83a6fe45de11fd2c3b0ecfda13c24a6f96b1d0e875f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XA3X4AQIH2W3TMVGM56QHVDXL7/bundle.json","state_url":"https://pith.science/pith/XA3X4AQIH2W3TMVGM56QHVDXL7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XA3X4AQIH2W3TMVGM56QHVDXL7/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":"2026-06-27T16:15:18Z","links":{"resolver":"https://pith.science/pith/XA3X4AQIH2W3TMVGM56QHVDXL7","bundle":"https://pith.science/pith/XA3X4AQIH2W3TMVGM56QHVDXL7/bundle.json","state":"https://pith.science/pith/XA3X4AQIH2W3TMVGM56QHVDXL7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XA3X4AQIH2W3TMVGM56QHVDXL7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:XA3X4AQIH2W3TMVGM56QHVDXL7","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":"03dae412083792744f3348210f21e470be9105c24623d741a815bb44422438dc","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2014-09-03T08:17:41Z","title_canon_sha256":"59ab8146cffa4f2d68a00e81b89cc8f75628719810876735e4bf4012b633f95d"},"schema_version":"1.0","source":{"id":"1409.0984","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1409.0984","created_at":"2026-05-18T02:43:44Z"},{"alias_kind":"arxiv_version","alias_value":"1409.0984v1","created_at":"2026-05-18T02:43:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1409.0984","created_at":"2026-05-18T02:43:44Z"},{"alias_kind":"pith_short_12","alias_value":"XA3X4AQIH2W3","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"XA3X4AQIH2W3TMVG","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"XA3X4AQI","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:c3e5e60efd7feee9e437c83a6fe45de11fd2c3b0ecfda13c24a6f96b1d0e875f","target":"graph","created_at":"2026-05-18T02:43:44Z","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 characterize the boundary at infinity of a complex hyperbolic space as a compact Ptolemy space that satisfies four incidence axioms.","authors_text":"Sergei Buyalo, Viktor Schroeder","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2014-09-03T08:17:41Z","title":"Incidence axioms for the boundary at infinity of complex hyperbolic spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1409.0984","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":"sha256:65f2303a4afdb1db45a27cc18aa471d6f1bb9e5ddd1f2799fef470aafc2fb9ec","target":"record","created_at":"2026-05-18T02:43:44Z","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":"03dae412083792744f3348210f21e470be9105c24623d741a815bb44422438dc","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.MG","submitted_at":"2014-09-03T08:17:41Z","title_canon_sha256":"59ab8146cffa4f2d68a00e81b89cc8f75628719810876735e4bf4012b633f95d"},"schema_version":"1.0","source":{"id":"1409.0984","kind":"arxiv","version":1}},"canonical_sha256":"b8377e02083eadb9b2a6677d03d4775fc6c5cbc0982ba49b8f963fd0e8557ba8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b8377e02083eadb9b2a6677d03d4775fc6c5cbc0982ba49b8f963fd0e8557ba8","first_computed_at":"2026-05-18T02:43:44.621038Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:43:44.621038Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gU7a1/FWVgkzyaHF+Smj4RA6hDCALU8Dg/iBtJM0SrP2vYg3iup4lS2qojJAoLWpLsVkyMyfpLCl4Ee1Pa8dBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:43:44.621448Z","signed_message":"canonical_sha256_bytes"},"source_id":"1409.0984","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:65f2303a4afdb1db45a27cc18aa471d6f1bb9e5ddd1f2799fef470aafc2fb9ec","sha256:c3e5e60efd7feee9e437c83a6fe45de11fd2c3b0ecfda13c24a6f96b1d0e875f"],"state_sha256":"fa6d675308b92c99178fd49e594852d350a7d9b177d2325d020886374b858d44"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/9WK4cKPx1cYCMIzmJMkzvYZqBBI+eqCU9xuHH59k8EqWlpqaEpOomGmWanMCj5XbP4gfON7TG3uWYcDwhMwBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T16:15:18.419128Z","bundle_sha256":"de4e341358a1056d5fd51893c9c86a0ded8fc2c41efd6745f7ea02d76eeec314"}}