{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:V2UJ5VWWTKOIZNUOXAPKSD7AV5","short_pith_number":"pith:V2UJ5VWW","canonical_record":{"source":{"id":"1502.05227","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-02-18T13:44:56Z","cross_cats_sorted":[],"title_canon_sha256":"95d2500b2f29c54c1cef9114d3f7c8059c020d96215ceb2600ddfb4134b67f21","abstract_canon_sha256":"6952a105bbe7ef7d2d648828b8eaf52549905075d89238b5fdd9e8148d402e29"},"schema_version":"1.0"},"canonical_sha256":"aea89ed6d69a9c8cb68eb81ea90fe0af532cc876598cc2a4d052aea1b81d3e8f","source":{"kind":"arxiv","id":"1502.05227","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.05227","created_at":"2026-05-18T02:26:52Z"},{"alias_kind":"arxiv_version","alias_value":"1502.05227v1","created_at":"2026-05-18T02:26:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.05227","created_at":"2026-05-18T02:26:52Z"},{"alias_kind":"pith_short_12","alias_value":"V2UJ5VWWTKOI","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"V2UJ5VWWTKOIZNUO","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"V2UJ5VWW","created_at":"2026-05-18T12:29:44Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:V2UJ5VWWTKOIZNUOXAPKSD7AV5","target":"record","payload":{"canonical_record":{"source":{"id":"1502.05227","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-02-18T13:44:56Z","cross_cats_sorted":[],"title_canon_sha256":"95d2500b2f29c54c1cef9114d3f7c8059c020d96215ceb2600ddfb4134b67f21","abstract_canon_sha256":"6952a105bbe7ef7d2d648828b8eaf52549905075d89238b5fdd9e8148d402e29"},"schema_version":"1.0"},"canonical_sha256":"aea89ed6d69a9c8cb68eb81ea90fe0af532cc876598cc2a4d052aea1b81d3e8f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:26:52.143753Z","signature_b64":"OJnlsJ07ZWkWoXtFH+2fGUEwmoAkPlLtbiXPO3OW1dD5YzkBRr/m1BjLat2D32Vn3m9VmXRTGsJqx+7XBX7CDw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aea89ed6d69a9c8cb68eb81ea90fe0af532cc876598cc2a4d052aea1b81d3e8f","last_reissued_at":"2026-05-18T02:26:52.143368Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:26:52.143368Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.05227","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":"2026-05-18T02:26:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AedodrnUCab4m/sRKPglzkEkTHnBHZeiP+IeSeoj9FZKQ3QkmieoRjeu40pXmQJu5YfORtjUrE9z2HV40dA2Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T19:48:08.371006Z"},"content_sha256":"0532c4d4780386d4774ea37db669f42d3a15b2f6e84a8f5e74b453bab34c7a6a","schema_version":"1.0","event_id":"sha256:0532c4d4780386d4774ea37db669f42d3a15b2f6e84a8f5e74b453bab34c7a6a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:V2UJ5VWWTKOIZNUOXAPKSD7AV5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Positive mass theorem for some asymptotically hyperbolic manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.DG","authors_text":"Bernd Ammann, Nadine Gro{\\ss}e","submitted_at":"2015-02-18T13:44:56Z","abstract_excerpt":"We prove a positive mass theorem for some noncompact spin manifolds that are asymptotic to products of hyperbolic space with a compact manifold. As conclusion we show the Yamabe inequality for some noncompact manifolds which are important to understand the behaviour of Yamabe invariants under surgeries."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.05227","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":"2026-05-18T02:26:52Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7SC2+5HiQgJQqxbqJTiIzue5eaaoY+iEN+HN7/BmuF7vNAqPfEBgbYRFfayUj8c9Qw7oEe9dkCCt2RHmRRQ4Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-27T19:48:08.371729Z"},"content_sha256":"89f946db6c0844118717b8b446d9ca09742c6452c4a146c6873d928f47a4e2b9","schema_version":"1.0","event_id":"sha256:89f946db6c0844118717b8b446d9ca09742c6452c4a146c6873d928f47a4e2b9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V2UJ5VWWTKOIZNUOXAPKSD7AV5/bundle.json","state_url":"https://pith.science/pith/V2UJ5VWWTKOIZNUOXAPKSD7AV5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V2UJ5VWWTKOIZNUOXAPKSD7AV5/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":"2026-05-27T19:48:08Z","links":{"resolver":"https://pith.science/pith/V2UJ5VWWTKOIZNUOXAPKSD7AV5","bundle":"https://pith.science/pith/V2UJ5VWWTKOIZNUOXAPKSD7AV5/bundle.json","state":"https://pith.science/pith/V2UJ5VWWTKOIZNUOXAPKSD7AV5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V2UJ5VWWTKOIZNUOXAPKSD7AV5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:V2UJ5VWWTKOIZNUOXAPKSD7AV5","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":"6952a105bbe7ef7d2d648828b8eaf52549905075d89238b5fdd9e8148d402e29","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-02-18T13:44:56Z","title_canon_sha256":"95d2500b2f29c54c1cef9114d3f7c8059c020d96215ceb2600ddfb4134b67f21"},"schema_version":"1.0","source":{"id":"1502.05227","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.05227","created_at":"2026-05-18T02:26:52Z"},{"alias_kind":"arxiv_version","alias_value":"1502.05227v1","created_at":"2026-05-18T02:26:52Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.05227","created_at":"2026-05-18T02:26:52Z"},{"alias_kind":"pith_short_12","alias_value":"V2UJ5VWWTKOI","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_16","alias_value":"V2UJ5VWWTKOIZNUO","created_at":"2026-05-18T12:29:44Z"},{"alias_kind":"pith_short_8","alias_value":"V2UJ5VWW","created_at":"2026-05-18T12:29:44Z"}],"graph_snapshots":[{"event_id":"sha256:89f946db6c0844118717b8b446d9ca09742c6452c4a146c6873d928f47a4e2b9","target":"graph","created_at":"2026-05-18T02:26:52Z","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 a positive mass theorem for some noncompact spin manifolds that are asymptotic to products of hyperbolic space with a compact manifold. As conclusion we show the Yamabe inequality for some noncompact manifolds which are important to understand the behaviour of Yamabe invariants under surgeries.","authors_text":"Bernd Ammann, Nadine Gro{\\ss}e","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-02-18T13:44:56Z","title":"Positive mass theorem for some asymptotically hyperbolic manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.05227","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":"sha256:0532c4d4780386d4774ea37db669f42d3a15b2f6e84a8f5e74b453bab34c7a6a","target":"record","created_at":"2026-05-18T02:26:52Z","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":"6952a105bbe7ef7d2d648828b8eaf52549905075d89238b5fdd9e8148d402e29","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.DG","submitted_at":"2015-02-18T13:44:56Z","title_canon_sha256":"95d2500b2f29c54c1cef9114d3f7c8059c020d96215ceb2600ddfb4134b67f21"},"schema_version":"1.0","source":{"id":"1502.05227","kind":"arxiv","version":1}},"canonical_sha256":"aea89ed6d69a9c8cb68eb81ea90fe0af532cc876598cc2a4d052aea1b81d3e8f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aea89ed6d69a9c8cb68eb81ea90fe0af532cc876598cc2a4d052aea1b81d3e8f","first_computed_at":"2026-05-18T02:26:52.143368Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:26:52.143368Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OJnlsJ07ZWkWoXtFH+2fGUEwmoAkPlLtbiXPO3OW1dD5YzkBRr/m1BjLat2D32Vn3m9VmXRTGsJqx+7XBX7CDw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:26:52.143753Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.05227","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0532c4d4780386d4774ea37db669f42d3a15b2f6e84a8f5e74b453bab34c7a6a","sha256:89f946db6c0844118717b8b446d9ca09742c6452c4a146c6873d928f47a4e2b9"],"state_sha256":"5e15a70a8394a524e65182134854253b476d55c33745b95132be298020f14f0f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fn5O3JGBBnsS2FjNQNmGhnc3vfOTf6U3M9vNSdLkCWNC4I32tyI4Axq0OPAYcRkaNJscuxG9LuIa31q1yZQxBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-27T19:48:08.375469Z","bundle_sha256":"7fc30ec956e3babfb08a27c676bc6eda90538d733d1880e2cf12756614a5e00d"}}