{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:X2OGMITNQGQSUJIHX2VKXHVZZ6","short_pith_number":"pith:X2OGMITN","canonical_record":{"source":{"id":"0807.0444","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2008-07-02T20:38:05Z","cross_cats_sorted":[],"title_canon_sha256":"86a2bf1f6d412f94cd9fd727f983219560e41da1eec7cff7723bc2c403a48771","abstract_canon_sha256":"dbea22bc8bce0509d24da41b73f07a5ccc78ec26ef7952e31f5c0c307309c0e4"},"schema_version":"1.0"},"canonical_sha256":"be9c66226d81a12a2507beaaab9eb9cf86a2756e3d70938eb4d9fe2379c3767d","source":{"kind":"arxiv","id":"0807.0444","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0807.0444","created_at":"2026-05-18T02:35:15Z"},{"alias_kind":"arxiv_version","alias_value":"0807.0444v1","created_at":"2026-05-18T02:35:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0807.0444","created_at":"2026-05-18T02:35:15Z"},{"alias_kind":"pith_short_12","alias_value":"X2OGMITNQGQS","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"X2OGMITNQGQSUJIH","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"X2OGMITN","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:X2OGMITNQGQSUJIHX2VKXHVZZ6","target":"record","payload":{"canonical_record":{"source":{"id":"0807.0444","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2008-07-02T20:38:05Z","cross_cats_sorted":[],"title_canon_sha256":"86a2bf1f6d412f94cd9fd727f983219560e41da1eec7cff7723bc2c403a48771","abstract_canon_sha256":"dbea22bc8bce0509d24da41b73f07a5ccc78ec26ef7952e31f5c0c307309c0e4"},"schema_version":"1.0"},"canonical_sha256":"be9c66226d81a12a2507beaaab9eb9cf86a2756e3d70938eb4d9fe2379c3767d","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:35:15.654585Z","signature_b64":"gSSM0dGDSq1k+jCYd2kUXtTYCzCY0nErvdVIhbq5Gr1SSCKWlLUqXAAE41PYGiC7mgOCI5CLOrwZjyj/h9P1CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"be9c66226d81a12a2507beaaab9eb9cf86a2756e3d70938eb4d9fe2379c3767d","last_reissued_at":"2026-05-18T02:35:15.654032Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:35:15.654032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0807.0444","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":"2026-05-18T02:35:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"oGkShzHLcih9nrdP/DDxyJa9NbtHKBym8GzVuwFD/hIFb3jt5yREDKsd5SrK+DKHqXcnr2Ttc7tr6HP3BrJNDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T16:43:43.401381Z"},"content_sha256":"8df99f78a7d29a6a194513d51181463651209c0f392954febd7362c5fa105d89","schema_version":"1.0","event_id":"sha256:8df99f78a7d29a6a194513d51181463651209c0f392954febd7362c5fa105d89"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:X2OGMITNQGQSUJIHX2VKXHVZZ6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Constraining the Nonextensive Mass Function of Halos from BAO, CMB and X-ray data","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"J. A. S. Lima, J. V. Cunha, L. Marassi","submitted_at":"2008-07-02T20:38:05Z","abstract_excerpt":"Clusters of galaxies are the most impressive gravitationally-bound systems in the Universe and its abundance (the cluster mass function) is one important statistics to probe the matter density parameter ($\\Omega_m$) and the amplitude of density fluctuations ($\\sigma_8$). The cluster mass function is usually described in terms of the Press-Schecther (PS) formalism where the primordial density fluctuations are assumed to be a Gaussian random field. In previous works we have proposed a non-Gaussian analytical extension of the PS approach with basis on the $q$-power law distribution (PL) of the no"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0807.0444","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":"2026-05-18T02:35:15Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mRA5MdSSUfZTBbiN8eY7bm7e8IxaUcI2KDlP6Gf9tOSIoGK6AK3jvM1u8phO9L4MQ0HX96fCBWh5O/n2MmxUBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T16:43:43.401867Z"},"content_sha256":"cbac2e93d3531fa414b62565074a48f84f016dde9aacdad1dc9c133af6cefa6f","schema_version":"1.0","event_id":"sha256:cbac2e93d3531fa414b62565074a48f84f016dde9aacdad1dc9c133af6cefa6f"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/X2OGMITNQGQSUJIHX2VKXHVZZ6/bundle.json","state_url":"https://pith.science/pith/X2OGMITNQGQSUJIHX2VKXHVZZ6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/X2OGMITNQGQSUJIHX2VKXHVZZ6/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":"2026-05-30T16:43:43Z","links":{"resolver":"https://pith.science/pith/X2OGMITNQGQSUJIHX2VKXHVZZ6","bundle":"https://pith.science/pith/X2OGMITNQGQSUJIHX2VKXHVZZ6/bundle.json","state":"https://pith.science/pith/X2OGMITNQGQSUJIHX2VKXHVZZ6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/X2OGMITNQGQSUJIHX2VKXHVZZ6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:X2OGMITNQGQSUJIHX2VKXHVZZ6","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":"dbea22bc8bce0509d24da41b73f07a5ccc78ec26ef7952e31f5c0c307309c0e4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2008-07-02T20:38:05Z","title_canon_sha256":"86a2bf1f6d412f94cd9fd727f983219560e41da1eec7cff7723bc2c403a48771"},"schema_version":"1.0","source":{"id":"0807.0444","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0807.0444","created_at":"2026-05-18T02:35:15Z"},{"alias_kind":"arxiv_version","alias_value":"0807.0444v1","created_at":"2026-05-18T02:35:15Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0807.0444","created_at":"2026-05-18T02:35:15Z"},{"alias_kind":"pith_short_12","alias_value":"X2OGMITNQGQS","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"X2OGMITNQGQSUJIH","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"X2OGMITN","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:cbac2e93d3531fa414b62565074a48f84f016dde9aacdad1dc9c133af6cefa6f","target":"graph","created_at":"2026-05-18T02:35:15Z","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":"Clusters of galaxies are the most impressive gravitationally-bound systems in the Universe and its abundance (the cluster mass function) is one important statistics to probe the matter density parameter ($\\Omega_m$) and the amplitude of density fluctuations ($\\sigma_8$). The cluster mass function is usually described in terms of the Press-Schecther (PS) formalism where the primordial density fluctuations are assumed to be a Gaussian random field. In previous works we have proposed a non-Gaussian analytical extension of the PS approach with basis on the $q$-power law distribution (PL) of the no","authors_text":"J. A. S. Lima, J. V. Cunha, L. Marassi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2008-07-02T20:38:05Z","title":"Constraining the Nonextensive Mass Function of Halos from BAO, CMB and X-ray data"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0807.0444","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":"sha256:8df99f78a7d29a6a194513d51181463651209c0f392954febd7362c5fa105d89","target":"record","created_at":"2026-05-18T02:35:15Z","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":"dbea22bc8bce0509d24da41b73f07a5ccc78ec26ef7952e31f5c0c307309c0e4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph","submitted_at":"2008-07-02T20:38:05Z","title_canon_sha256":"86a2bf1f6d412f94cd9fd727f983219560e41da1eec7cff7723bc2c403a48771"},"schema_version":"1.0","source":{"id":"0807.0444","kind":"arxiv","version":1}},"canonical_sha256":"be9c66226d81a12a2507beaaab9eb9cf86a2756e3d70938eb4d9fe2379c3767d","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"be9c66226d81a12a2507beaaab9eb9cf86a2756e3d70938eb4d9fe2379c3767d","first_computed_at":"2026-05-18T02:35:15.654032Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:35:15.654032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"gSSM0dGDSq1k+jCYd2kUXtTYCzCY0nErvdVIhbq5Gr1SSCKWlLUqXAAE41PYGiC7mgOCI5CLOrwZjyj/h9P1CA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:35:15.654585Z","signed_message":"canonical_sha256_bytes"},"source_id":"0807.0444","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8df99f78a7d29a6a194513d51181463651209c0f392954febd7362c5fa105d89","sha256:cbac2e93d3531fa414b62565074a48f84f016dde9aacdad1dc9c133af6cefa6f"],"state_sha256":"f86464f4a52a9c9822e68e6402ca3ce7b70ff19e7fe616d613d4f20b87ccba45"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MglHi5ee+0+9c44Z9GvMLJAm0c48qRgDj9qmiPMJuBJv58Y87Z/SvOtveC230yLc+vJsk7PxtgkaFuVPbXmECg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T16:43:43.405398Z","bundle_sha256":"6940c59284be879f5ba071315037fb79e6ad46e81a11465d7ef44cbbeeb87f8e"}}