{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:PV2QSLBYMMABLDGBQKGZKIN7QW","short_pith_number":"pith:PV2QSLBY","canonical_record":{"source":{"id":"1602.04795","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-02-15T20:33:21Z","cross_cats_sorted":["math.DG","math.SP"],"title_canon_sha256":"6d3adb7d5847544592f2655776eab6a1ec07afbc5b05b50b62badcdf81baed9a","abstract_canon_sha256":"e358de2e7878cf1d2c7c1d2f6282e8ae40ae5bd865ad4070632fea032ed85fbe"},"schema_version":"1.0"},"canonical_sha256":"7d75092c386300158cc1828d9521bf85b4e1c9c81193d600b1970653b6d951ea","source":{"kind":"arxiv","id":"1602.04795","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.04795","created_at":"2026-05-18T00:26:30Z"},{"alias_kind":"arxiv_version","alias_value":"1602.04795v2","created_at":"2026-05-18T00:26:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.04795","created_at":"2026-05-18T00:26:30Z"},{"alias_kind":"pith_short_12","alias_value":"PV2QSLBYMMAB","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"PV2QSLBYMMABLDGB","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"PV2QSLBY","created_at":"2026-05-18T12:30:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:PV2QSLBYMMABLDGBQKGZKIN7QW","target":"record","payload":{"canonical_record":{"source":{"id":"1602.04795","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-02-15T20:33:21Z","cross_cats_sorted":["math.DG","math.SP"],"title_canon_sha256":"6d3adb7d5847544592f2655776eab6a1ec07afbc5b05b50b62badcdf81baed9a","abstract_canon_sha256":"e358de2e7878cf1d2c7c1d2f6282e8ae40ae5bd865ad4070632fea032ed85fbe"},"schema_version":"1.0"},"canonical_sha256":"7d75092c386300158cc1828d9521bf85b4e1c9c81193d600b1970653b6d951ea","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:26:30.891719Z","signature_b64":"4rXDTGIUdf6BY5U3rmpav3YXVZVrw4Cl97G3f9EIXO4owkXdKsr4vAz8HfpGw+siA5kup++5b0KvgB5c9XD2Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7d75092c386300158cc1828d9521bf85b4e1c9c81193d600b1970653b6d951ea","last_reissued_at":"2026-05-18T00:26:30.891070Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:26:30.891070Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1602.04795","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":"2026-05-18T00:26:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x1aXuQXJ88Ppd+34TWgfgyPvXUHyXKwHEeltF1jsvM/bqLJOX8VIx+8wGeozcPRGgcceXaMNAr8ihV6oYGmHDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T03:23:42.659605Z"},"content_sha256":"20ece0d46898719827c8ae23de35aa4a8b9ac73e70276bf784b62370bb48a822","schema_version":"1.0","event_id":"sha256:20ece0d46898719827c8ae23de35aa4a8b9ac73e70276bf784b62370bb48a822"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:PV2QSLBYMMABLDGBQKGZKIN7QW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Asymptotics of scalar waves on long-range asymptotically Minkowski spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG","math.SP"],"primary_cat":"math.AP","authors_text":"Andras Vasy, Dean Baskin, Jared Wunsch","submitted_at":"2016-02-15T20:33:21Z","abstract_excerpt":"We show the existence of the full compound asymptotics of solutions to the scalar wave equation on long-range non-trapping Lorentzian manifolds modeled on the radial compactification of Minkowski space. In particular, we show that there is a joint asymptotic expansion at null and timelike infinity for forward solutions of the inhomogeneous equation. In two appendices we show how these results apply to certain spacetimes whose null infinity is modeled on that of the Kerr family. In these cases the leading order logarithmic term in our asymptotic expansions at null infinity is shown to be nonzer"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.04795","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":"2026-05-18T00:26:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AnpRng0v0fyqb+jTAKTW+S0Lv9nZpTmzEYuUPTYABwJ2gS0YvlzaNuwxVaWMBoac8zHQ5qTT661KF+sml3JIDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T03:23:42.660203Z"},"content_sha256":"cb8fd1dee6bc0f2c60fb6e5bd3faf15e3a0b2eaf3bd9a36d905bbe28f68cf4b3","schema_version":"1.0","event_id":"sha256:cb8fd1dee6bc0f2c60fb6e5bd3faf15e3a0b2eaf3bd9a36d905bbe28f68cf4b3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PV2QSLBYMMABLDGBQKGZKIN7QW/bundle.json","state_url":"https://pith.science/pith/PV2QSLBYMMABLDGBQKGZKIN7QW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PV2QSLBYMMABLDGBQKGZKIN7QW/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":"2026-05-26T03:23:42Z","links":{"resolver":"https://pith.science/pith/PV2QSLBYMMABLDGBQKGZKIN7QW","bundle":"https://pith.science/pith/PV2QSLBYMMABLDGBQKGZKIN7QW/bundle.json","state":"https://pith.science/pith/PV2QSLBYMMABLDGBQKGZKIN7QW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PV2QSLBYMMABLDGBQKGZKIN7QW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:PV2QSLBYMMABLDGBQKGZKIN7QW","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":"e358de2e7878cf1d2c7c1d2f6282e8ae40ae5bd865ad4070632fea032ed85fbe","cross_cats_sorted":["math.DG","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-02-15T20:33:21Z","title_canon_sha256":"6d3adb7d5847544592f2655776eab6a1ec07afbc5b05b50b62badcdf81baed9a"},"schema_version":"1.0","source":{"id":"1602.04795","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1602.04795","created_at":"2026-05-18T00:26:30Z"},{"alias_kind":"arxiv_version","alias_value":"1602.04795v2","created_at":"2026-05-18T00:26:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1602.04795","created_at":"2026-05-18T00:26:30Z"},{"alias_kind":"pith_short_12","alias_value":"PV2QSLBYMMAB","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"PV2QSLBYMMABLDGB","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"PV2QSLBY","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:cb8fd1dee6bc0f2c60fb6e5bd3faf15e3a0b2eaf3bd9a36d905bbe28f68cf4b3","target":"graph","created_at":"2026-05-18T00:26:30Z","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 show the existence of the full compound asymptotics of solutions to the scalar wave equation on long-range non-trapping Lorentzian manifolds modeled on the radial compactification of Minkowski space. In particular, we show that there is a joint asymptotic expansion at null and timelike infinity for forward solutions of the inhomogeneous equation. In two appendices we show how these results apply to certain spacetimes whose null infinity is modeled on that of the Kerr family. In these cases the leading order logarithmic term in our asymptotic expansions at null infinity is shown to be nonzer","authors_text":"Andras Vasy, Dean Baskin, Jared Wunsch","cross_cats":["math.DG","math.SP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-02-15T20:33:21Z","title":"Asymptotics of scalar waves on long-range asymptotically Minkowski spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1602.04795","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":"sha256:20ece0d46898719827c8ae23de35aa4a8b9ac73e70276bf784b62370bb48a822","target":"record","created_at":"2026-05-18T00:26:30Z","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":"e358de2e7878cf1d2c7c1d2f6282e8ae40ae5bd865ad4070632fea032ed85fbe","cross_cats_sorted":["math.DG","math.SP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-02-15T20:33:21Z","title_canon_sha256":"6d3adb7d5847544592f2655776eab6a1ec07afbc5b05b50b62badcdf81baed9a"},"schema_version":"1.0","source":{"id":"1602.04795","kind":"arxiv","version":2}},"canonical_sha256":"7d75092c386300158cc1828d9521bf85b4e1c9c81193d600b1970653b6d951ea","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7d75092c386300158cc1828d9521bf85b4e1c9c81193d600b1970653b6d951ea","first_computed_at":"2026-05-18T00:26:30.891070Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:26:30.891070Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"4rXDTGIUdf6BY5U3rmpav3YXVZVrw4Cl97G3f9EIXO4owkXdKsr4vAz8HfpGw+siA5kup++5b0KvgB5c9XD2Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:26:30.891719Z","signed_message":"canonical_sha256_bytes"},"source_id":"1602.04795","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:20ece0d46898719827c8ae23de35aa4a8b9ac73e70276bf784b62370bb48a822","sha256:cb8fd1dee6bc0f2c60fb6e5bd3faf15e3a0b2eaf3bd9a36d905bbe28f68cf4b3"],"state_sha256":"0566fa2dd69fb84ee4138665d67359f2e584a1e334ab7950bf02bc06be45b645"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+l9omR9/0v1goplfh1bu7g2KH+51D+mlA5LJQNxQ7hBHtcxkgPpXCFp+rTUdf5Qy0BIgdBUQXT5CJxl3JA3FAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T03:23:42.663283Z","bundle_sha256":"1952b5a3bfd0d953a267ac831cb4b6063384fd09342707b460fc87bfeb057d73"}}