{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:HSNN74N2BDJRIWAP55HVPQEQJC","short_pith_number":"pith:HSNN74N2","canonical_record":{"source":{"id":"0810.3908","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2008-10-21T19:47:59Z","cross_cats_sorted":[],"title_canon_sha256":"c4c95b5fce2143c1f019549af22375b6e9289d20e52467b2f8a3fd66efaba0fd","abstract_canon_sha256":"69e85b3fa3867325c5e836c579410d99521eb0ecda03cece6683c3499b486585"},"schema_version":"1.0"},"canonical_sha256":"3c9adff1ba08d314580fef4f57c090488c7ed9c6be1923db336b3d6b9794653b","source":{"kind":"arxiv","id":"0810.3908","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0810.3908","created_at":"2026-05-18T01:16:19Z"},{"alias_kind":"arxiv_version","alias_value":"0810.3908v1","created_at":"2026-05-18T01:16:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0810.3908","created_at":"2026-05-18T01:16:19Z"},{"alias_kind":"pith_short_12","alias_value":"HSNN74N2BDJR","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"HSNN74N2BDJRIWAP","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"HSNN74N2","created_at":"2026-05-18T12:25:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:HSNN74N2BDJRIWAP55HVPQEQJC","target":"record","payload":{"canonical_record":{"source":{"id":"0810.3908","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2008-10-21T19:47:59Z","cross_cats_sorted":[],"title_canon_sha256":"c4c95b5fce2143c1f019549af22375b6e9289d20e52467b2f8a3fd66efaba0fd","abstract_canon_sha256":"69e85b3fa3867325c5e836c579410d99521eb0ecda03cece6683c3499b486585"},"schema_version":"1.0"},"canonical_sha256":"3c9adff1ba08d314580fef4f57c090488c7ed9c6be1923db336b3d6b9794653b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:19.419897Z","signature_b64":"nsuI/iN17RhGPNasw6MMoYqENBEF8VkfdRhl7MOHt0PM1MHbYrieuy1ilDc7PjPci4TxXH1vsc924277E+okAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3c9adff1ba08d314580fef4f57c090488c7ed9c6be1923db336b3d6b9794653b","last_reissued_at":"2026-05-18T01:16:19.419445Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:19.419445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0810.3908","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":"2026-05-18T01:16:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EFKJhex/yV6q4/mm1Q9SBltU0ymaOVZjs5bpf1a8P3fl+/942oMSfxp6/o31F6P2oPw0TBLNrW0+LIJXRaOcAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T06:49:59.950306Z"},"content_sha256":"94270417d9cd22f0858fddc527a080bf6289d5830288e37ba1974859f57b9765","schema_version":"1.0","event_id":"sha256:94270417d9cd22f0858fddc527a080bf6289d5830288e37ba1974859f57b9765"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:HSNN74N2BDJRIWAP55HVPQEQJC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fingers of God","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"J.C. Jackson","submitted_at":"2008-10-21T19:47:59Z","abstract_excerpt":"Very long wavelength universal gravitational waves cannot now produce in clusters of galaxies velocity dispersions greater than that which these systems would possess if they were expanding with the Universe, if the Universe is not younger than $10^{10}$ yr and Hubble's constant is not less than 50 km/sec/ Mpc. A diagram shows that actual velocity dispersions are significantly greater than this limit."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.3908","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":"2026-05-18T01:16:19Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LMb1PEAY9fSz1Q9Pn5Pp2EOzL2K1ixkIEeKm97+yzhgZ/FM9cg4naDZzcqmeIHoBtXSImKJAKw0TMev7jbIzBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T06:49:59.951051Z"},"content_sha256":"32384abd91eb4a9774582e1c448172cd22c7973a588d7bf4dc0e2f4e931de69f","schema_version":"1.0","event_id":"sha256:32384abd91eb4a9774582e1c448172cd22c7973a588d7bf4dc0e2f4e931de69f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HSNN74N2BDJRIWAP55HVPQEQJC/bundle.json","state_url":"https://pith.science/pith/HSNN74N2BDJRIWAP55HVPQEQJC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HSNN74N2BDJRIWAP55HVPQEQJC/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":"2026-06-10T06:49:59Z","links":{"resolver":"https://pith.science/pith/HSNN74N2BDJRIWAP55HVPQEQJC","bundle":"https://pith.science/pith/HSNN74N2BDJRIWAP55HVPQEQJC/bundle.json","state":"https://pith.science/pith/HSNN74N2BDJRIWAP55HVPQEQJC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HSNN74N2BDJRIWAP55HVPQEQJC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:HSNN74N2BDJRIWAP55HVPQEQJC","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":"69e85b3fa3867325c5e836c579410d99521eb0ecda03cece6683c3499b486585","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2008-10-21T19:47:59Z","title_canon_sha256":"c4c95b5fce2143c1f019549af22375b6e9289d20e52467b2f8a3fd66efaba0fd"},"schema_version":"1.0","source":{"id":"0810.3908","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0810.3908","created_at":"2026-05-18T01:16:19Z"},{"alias_kind":"arxiv_version","alias_value":"0810.3908v1","created_at":"2026-05-18T01:16:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0810.3908","created_at":"2026-05-18T01:16:19Z"},{"alias_kind":"pith_short_12","alias_value":"HSNN74N2BDJR","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_16","alias_value":"HSNN74N2BDJRIWAP","created_at":"2026-05-18T12:25:57Z"},{"alias_kind":"pith_short_8","alias_value":"HSNN74N2","created_at":"2026-05-18T12:25:57Z"}],"graph_snapshots":[{"event_id":"sha256:32384abd91eb4a9774582e1c448172cd22c7973a588d7bf4dc0e2f4e931de69f","target":"graph","created_at":"2026-05-18T01:16:19Z","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":"Very long wavelength universal gravitational waves cannot now produce in clusters of galaxies velocity dispersions greater than that which these systems would possess if they were expanding with the Universe, if the Universe is not younger than $10^{10}$ yr and Hubble's constant is not less than 50 km/sec/ Mpc. A diagram shows that actual velocity dispersions are significantly greater than this limit.","authors_text":"J.C. Jackson","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2008-10-21T19:47:59Z","title":"Fingers of God"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0810.3908","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":"sha256:94270417d9cd22f0858fddc527a080bf6289d5830288e37ba1974859f57b9765","target":"record","created_at":"2026-05-18T01:16:19Z","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":"69e85b3fa3867325c5e836c579410d99521eb0ecda03cece6683c3499b486585","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2008-10-21T19:47:59Z","title_canon_sha256":"c4c95b5fce2143c1f019549af22375b6e9289d20e52467b2f8a3fd66efaba0fd"},"schema_version":"1.0","source":{"id":"0810.3908","kind":"arxiv","version":1}},"canonical_sha256":"3c9adff1ba08d314580fef4f57c090488c7ed9c6be1923db336b3d6b9794653b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3c9adff1ba08d314580fef4f57c090488c7ed9c6be1923db336b3d6b9794653b","first_computed_at":"2026-05-18T01:16:19.419445Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:19.419445Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"nsuI/iN17RhGPNasw6MMoYqENBEF8VkfdRhl7MOHt0PM1MHbYrieuy1ilDc7PjPci4TxXH1vsc924277E+okAg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:19.419897Z","signed_message":"canonical_sha256_bytes"},"source_id":"0810.3908","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:94270417d9cd22f0858fddc527a080bf6289d5830288e37ba1974859f57b9765","sha256:32384abd91eb4a9774582e1c448172cd22c7973a588d7bf4dc0e2f4e931de69f"],"state_sha256":"0d87c879ee76b5c31ef2349ae544f71dcf644398ac825282a96d9fa63a7b2c7b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"5xO+VD87wh+uKGrHpSX4/JRd0teu7JjU1zuYpqyj4eza0dSWAgNdHslDLV4XFWBH4PdEitfDaXgQxpYVlfT1BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T06:49:59.955585Z","bundle_sha256":"ab2f9bc459b8897e27b4765b1fa9b15f48460841d9c6bf917ba1e8eee6c5fda1"}}