{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:3XFKDC2CTETHTLDI6MPQZMNNBE","short_pith_number":"pith:3XFKDC2C","canonical_record":{"source":{"id":"1609.06527","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-09-21T12:34:15Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"aa1d7068f457ae1a4d1d013dee177e8c8791616a08ab51bb64f6ca91960e63fd","abstract_canon_sha256":"bc6051f9ee45f5386bda3c9d0f80282d49ccb1fcc8c60457da21c8bff8d0ad0c"},"schema_version":"1.0"},"canonical_sha256":"ddcaa18b42992679ac68f31f0cb1ad090dabc108e4e79a44e39e4e6b5b306233","source":{"kind":"arxiv","id":"1609.06527","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.06527","created_at":"2026-05-18T00:20:57Z"},{"alias_kind":"arxiv_version","alias_value":"1609.06527v2","created_at":"2026-05-18T00:20:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.06527","created_at":"2026-05-18T00:20:57Z"},{"alias_kind":"pith_short_12","alias_value":"3XFKDC2CTETH","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"3XFKDC2CTETHTLDI","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"3XFKDC2C","created_at":"2026-05-18T12:29:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:3XFKDC2CTETHTLDI6MPQZMNNBE","target":"record","payload":{"canonical_record":{"source":{"id":"1609.06527","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-09-21T12:34:15Z","cross_cats_sorted":["math.DG"],"title_canon_sha256":"aa1d7068f457ae1a4d1d013dee177e8c8791616a08ab51bb64f6ca91960e63fd","abstract_canon_sha256":"bc6051f9ee45f5386bda3c9d0f80282d49ccb1fcc8c60457da21c8bff8d0ad0c"},"schema_version":"1.0"},"canonical_sha256":"ddcaa18b42992679ac68f31f0cb1ad090dabc108e4e79a44e39e4e6b5b306233","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:20:57.188832Z","signature_b64":"SmFDXtf91SjpLzkA555nuz6YegHhPw+IMzQcWvsZDV4atuyFMGurHoM7U9wb8/d2bAbUBtzcfQPFbLDzfIKGDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ddcaa18b42992679ac68f31f0cb1ad090dabc108e4e79a44e39e4e6b5b306233","last_reissued_at":"2026-05-18T00:20:57.188383Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:20:57.188383Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.06527","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":"2026-05-18T00:20:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KLMhSeEK5wuDTR58lE55Lq/McJ/yZcBwz//TjJuGJ3MIf/C2tvzWt787pyKzeYun/zdmPfEEclyeZMy8aOqADA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T09:57:07.334509Z"},"content_sha256":"2bd77ed8f4809c103be3667400dbf94dfc009ab88942f9158fff0550e78ce626","schema_version":"1.0","event_id":"sha256:2bd77ed8f4809c103be3667400dbf94dfc009ab88942f9158fff0550e78ce626"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:3XFKDC2CTETHTLDI6MPQZMNNBE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Resonances for Symmetric Tensors on Asymptotically Hyperbolic Spaces","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.DG"],"primary_cat":"math.AP","authors_text":"Charles Hadfield","submitted_at":"2016-09-21T12:34:15Z","abstract_excerpt":"On manifolds with an even Riemannian conformally compact Einstein metric, the resolvent of the Lichnerowicz Laplacian, acting on trace-free, divergence-free, symmetric 2-tensors is shown to have a meromorphic continuation to the complex plane, defining quantum resonances of this Laplacian. For higher rank symmetric tensors, a similar result is proven for (convex cocompact) quotients of hyperbolic space."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.06527","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":"2026-05-18T00:20:57Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UB3MyLgsAJ5KQyksQgx9dFAgoAgXuWqycuu3GxIvv72FQn9VqbkkdZwPqMKBtFGvsZGEUZ9scpIFKlXWZh9dDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-08T09:57:07.334869Z"},"content_sha256":"efb5b3c15db56732fb0ebd659baab9ad14fe8367687c5f65fd39cdae997248d5","schema_version":"1.0","event_id":"sha256:efb5b3c15db56732fb0ebd659baab9ad14fe8367687c5f65fd39cdae997248d5"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3XFKDC2CTETHTLDI6MPQZMNNBE/bundle.json","state_url":"https://pith.science/pith/3XFKDC2CTETHTLDI6MPQZMNNBE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3XFKDC2CTETHTLDI6MPQZMNNBE/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":"2026-06-08T09:57:07Z","links":{"resolver":"https://pith.science/pith/3XFKDC2CTETHTLDI6MPQZMNNBE","bundle":"https://pith.science/pith/3XFKDC2CTETHTLDI6MPQZMNNBE/bundle.json","state":"https://pith.science/pith/3XFKDC2CTETHTLDI6MPQZMNNBE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3XFKDC2CTETHTLDI6MPQZMNNBE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:3XFKDC2CTETHTLDI6MPQZMNNBE","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":"bc6051f9ee45f5386bda3c9d0f80282d49ccb1fcc8c60457da21c8bff8d0ad0c","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-09-21T12:34:15Z","title_canon_sha256":"aa1d7068f457ae1a4d1d013dee177e8c8791616a08ab51bb64f6ca91960e63fd"},"schema_version":"1.0","source":{"id":"1609.06527","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.06527","created_at":"2026-05-18T00:20:57Z"},{"alias_kind":"arxiv_version","alias_value":"1609.06527v2","created_at":"2026-05-18T00:20:57Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.06527","created_at":"2026-05-18T00:20:57Z"},{"alias_kind":"pith_short_12","alias_value":"3XFKDC2CTETH","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"3XFKDC2CTETHTLDI","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"3XFKDC2C","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:efb5b3c15db56732fb0ebd659baab9ad14fe8367687c5f65fd39cdae997248d5","target":"graph","created_at":"2026-05-18T00:20:57Z","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":"On manifolds with an even Riemannian conformally compact Einstein metric, the resolvent of the Lichnerowicz Laplacian, acting on trace-free, divergence-free, symmetric 2-tensors is shown to have a meromorphic continuation to the complex plane, defining quantum resonances of this Laplacian. For higher rank symmetric tensors, a similar result is proven for (convex cocompact) quotients of hyperbolic space.","authors_text":"Charles Hadfield","cross_cats":["math.DG"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-09-21T12:34:15Z","title":"Resonances for Symmetric Tensors on Asymptotically Hyperbolic Spaces"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.06527","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":"sha256:2bd77ed8f4809c103be3667400dbf94dfc009ab88942f9158fff0550e78ce626","target":"record","created_at":"2026-05-18T00:20:57Z","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":"bc6051f9ee45f5386bda3c9d0f80282d49ccb1fcc8c60457da21c8bff8d0ad0c","cross_cats_sorted":["math.DG"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.AP","submitted_at":"2016-09-21T12:34:15Z","title_canon_sha256":"aa1d7068f457ae1a4d1d013dee177e8c8791616a08ab51bb64f6ca91960e63fd"},"schema_version":"1.0","source":{"id":"1609.06527","kind":"arxiv","version":2}},"canonical_sha256":"ddcaa18b42992679ac68f31f0cb1ad090dabc108e4e79a44e39e4e6b5b306233","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ddcaa18b42992679ac68f31f0cb1ad090dabc108e4e79a44e39e4e6b5b306233","first_computed_at":"2026-05-18T00:20:57.188383Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:20:57.188383Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SmFDXtf91SjpLzkA555nuz6YegHhPw+IMzQcWvsZDV4atuyFMGurHoM7U9wb8/d2bAbUBtzcfQPFbLDzfIKGDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:20:57.188832Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.06527","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2bd77ed8f4809c103be3667400dbf94dfc009ab88942f9158fff0550e78ce626","sha256:efb5b3c15db56732fb0ebd659baab9ad14fe8367687c5f65fd39cdae997248d5"],"state_sha256":"5c74a36aa3cb70c0bad263622ab329fa91a2efddfd3bb4f323e3e02f7a0f8430"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2plmqLr9/l/gU4JOTRb0h+gTBa6RKapyiwk9iuEoMBU9vGCzZB2j942DVkvKBkhhd9Y2gc3Cq6Y5VZ9eYaIZDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-08T09:57:07.336705Z","bundle_sha256":"6bab01accf708af7f64e2cc88cb478f102b0492a4100896feedb325fd760de2c"}}