{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:XZ265NXGHBIMJ5CKZNQ6IIVKL3","short_pith_number":"pith:XZ265NXG","canonical_record":{"source":{"id":"0811.4371","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2008-11-26T17:12:51Z","cross_cats_sorted":["hep-ph","hep-th"],"title_canon_sha256":"0982c96f5de5415a65949033e668002a92d6ced0ab794692de715bfe8e93c01b","abstract_canon_sha256":"c8bd6d80085629ce80e33fead8bd2d05d708518abedcb1b4b4b7e9bcedae8816"},"schema_version":"1.0"},"canonical_sha256":"be75eeb6e63850c4f44acb61e422aa5edfd642577e588bdc9d796144e78ec506","source":{"kind":"arxiv","id":"0811.4371","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0811.4371","created_at":"2026-05-18T02:24:56Z"},{"alias_kind":"arxiv_version","alias_value":"0811.4371v5","created_at":"2026-05-18T02:24:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.4371","created_at":"2026-05-18T02:24:56Z"},{"alias_kind":"pith_short_12","alias_value":"XZ265NXGHBIM","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"XZ265NXGHBIMJ5CK","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"XZ265NXG","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:XZ265NXGHBIMJ5CKZNQ6IIVKL3","target":"record","payload":{"canonical_record":{"source":{"id":"0811.4371","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2008-11-26T17:12:51Z","cross_cats_sorted":["hep-ph","hep-th"],"title_canon_sha256":"0982c96f5de5415a65949033e668002a92d6ced0ab794692de715bfe8e93c01b","abstract_canon_sha256":"c8bd6d80085629ce80e33fead8bd2d05d708518abedcb1b4b4b7e9bcedae8816"},"schema_version":"1.0"},"canonical_sha256":"be75eeb6e63850c4f44acb61e422aa5edfd642577e588bdc9d796144e78ec506","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:24:56.776279Z","signature_b64":"E4u9K/wVGCaUooGXpWpmRkC3a4XGCceZmc4OnvXMuwwobaMiRlLwmMtUzKwqPShKqk7uWrV+rbarvvTkjfySBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"be75eeb6e63850c4f44acb61e422aa5edfd642577e588bdc9d796144e78ec506","last_reissued_at":"2026-05-18T02:24:56.775536Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:24:56.775536Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0811.4371","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T02:24:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sz59UeOl5Ef6JFj66Lj/zUX4Aw7UdgR2F1MZMah3cWQRL1pqiAmY3dYEZqEnv1zYyDCsfCH/hSWttVLwwnj3AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T02:16:08.543370Z"},"content_sha256":"df294bd36de752543964721759f29015e7900d754dbf056ad8f84fbe331d089e","schema_version":"1.0","event_id":"sha256:df294bd36de752543964721759f29015e7900d754dbf056ad8f84fbe331d089e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:XZ265NXGHBIMJ5CKZNQ6IIVKL3","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Probing the Primordial Power Spectrum with Cluster Number Counts","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","hep-th"],"primary_cat":"astro-ph","authors_text":"Christopher Gordon, Joseph Silk (Oxford), Teeraparb Chantavat","submitted_at":"2008-11-26T17:12:51Z","abstract_excerpt":"We investigate how well galaxy cluster number counts can constrain the primordial power spectrum. Measurements of the primary anisotropies in the cosmic microwave background (CMB) may be limited, by the presence of foregrounds from secondary sources, to probing the primordial power spectrum at wave numbers less than about 0.30 h Mpc^{-1}. We break up the primordial power spectrum into a number of nodes and interpolate linearly between each node. This allows us to show that cluster number counts could then extend the constraints on the form of the primordial power spectrum up to wave numbers of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.4371","kind":"arxiv","version":5},"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":"2026-05-18T02:24:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wwulzeIrr9NZo4Ktcq5zmyq1Mha8ziAxGoUpziwimxW+p5miKu4D4Ib1Pp9pDeMvkrxqW56B9jkI8TjVdFPxCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T02:16:08.544021Z"},"content_sha256":"6280d0499b9e496cd07124203264b6b90ac72e7d569aa9e0622f1990dfb9e591","schema_version":"1.0","event_id":"sha256:6280d0499b9e496cd07124203264b6b90ac72e7d569aa9e0622f1990dfb9e591"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XZ265NXGHBIMJ5CKZNQ6IIVKL3/bundle.json","state_url":"https://pith.science/pith/XZ265NXGHBIMJ5CKZNQ6IIVKL3/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XZ265NXGHBIMJ5CKZNQ6IIVKL3/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":"2026-06-07T02:16:08Z","links":{"resolver":"https://pith.science/pith/XZ265NXGHBIMJ5CKZNQ6IIVKL3","bundle":"https://pith.science/pith/XZ265NXGHBIMJ5CKZNQ6IIVKL3/bundle.json","state":"https://pith.science/pith/XZ265NXGHBIMJ5CKZNQ6IIVKL3/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XZ265NXGHBIMJ5CKZNQ6IIVKL3/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:XZ265NXGHBIMJ5CKZNQ6IIVKL3","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":"c8bd6d80085629ce80e33fead8bd2d05d708518abedcb1b4b4b7e9bcedae8816","cross_cats_sorted":["hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2008-11-26T17:12:51Z","title_canon_sha256":"0982c96f5de5415a65949033e668002a92d6ced0ab794692de715bfe8e93c01b"},"schema_version":"1.0","source":{"id":"0811.4371","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0811.4371","created_at":"2026-05-18T02:24:56Z"},{"alias_kind":"arxiv_version","alias_value":"0811.4371v5","created_at":"2026-05-18T02:24:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0811.4371","created_at":"2026-05-18T02:24:56Z"},{"alias_kind":"pith_short_12","alias_value":"XZ265NXGHBIM","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"XZ265NXGHBIMJ5CK","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"XZ265NXG","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:6280d0499b9e496cd07124203264b6b90ac72e7d569aa9e0622f1990dfb9e591","target":"graph","created_at":"2026-05-18T02:24:56Z","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 investigate how well galaxy cluster number counts can constrain the primordial power spectrum. Measurements of the primary anisotropies in the cosmic microwave background (CMB) may be limited, by the presence of foregrounds from secondary sources, to probing the primordial power spectrum at wave numbers less than about 0.30 h Mpc^{-1}. We break up the primordial power spectrum into a number of nodes and interpolate linearly between each node. This allows us to show that cluster number counts could then extend the constraints on the form of the primordial power spectrum up to wave numbers of","authors_text":"Christopher Gordon, Joseph Silk (Oxford), Teeraparb Chantavat","cross_cats":["hep-ph","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2008-11-26T17:12:51Z","title":"Probing the Primordial Power Spectrum with Cluster Number Counts"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0811.4371","kind":"arxiv","version":5},"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:df294bd36de752543964721759f29015e7900d754dbf056ad8f84fbe331d089e","target":"record","created_at":"2026-05-18T02:24:56Z","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":"c8bd6d80085629ce80e33fead8bd2d05d708518abedcb1b4b4b7e9bcedae8816","cross_cats_sorted":["hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2008-11-26T17:12:51Z","title_canon_sha256":"0982c96f5de5415a65949033e668002a92d6ced0ab794692de715bfe8e93c01b"},"schema_version":"1.0","source":{"id":"0811.4371","kind":"arxiv","version":5}},"canonical_sha256":"be75eeb6e63850c4f44acb61e422aa5edfd642577e588bdc9d796144e78ec506","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"be75eeb6e63850c4f44acb61e422aa5edfd642577e588bdc9d796144e78ec506","first_computed_at":"2026-05-18T02:24:56.775536Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:24:56.775536Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E4u9K/wVGCaUooGXpWpmRkC3a4XGCceZmc4OnvXMuwwobaMiRlLwmMtUzKwqPShKqk7uWrV+rbarvvTkjfySBw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:24:56.776279Z","signed_message":"canonical_sha256_bytes"},"source_id":"0811.4371","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:df294bd36de752543964721759f29015e7900d754dbf056ad8f84fbe331d089e","sha256:6280d0499b9e496cd07124203264b6b90ac72e7d569aa9e0622f1990dfb9e591"],"state_sha256":"c416abfda2902024190fe3d65d23fe7d45ec6cc98a3eab922e56c96ecff13b03"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q8lJ8kq38bP404lMxN2kx4TzFPOT0IS+ZjvVHahRhZAw+QH4+JqvBSqp7TdlUCIJY0hzfJWQzmo6wASdr97zDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T02:16:08.547369Z","bundle_sha256":"ab34636479883963b4dda8958f52e20689d951f7aee63a242f81f1d5eaabb908"}}