{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:5K2YFOJF4PFMOQQT5JX3C6F2MX","short_pith_number":"pith:5K2YFOJF","canonical_record":{"source":{"id":"1102.0458","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-02-02T15:22:26Z","cross_cats_sorted":[],"title_canon_sha256":"1f1d8d1d2b5be8866ed6a604c0d3c5d90b7bca8eaabae7466ff0d859a2c1a069","abstract_canon_sha256":"579e52a2fafeb7dfe612c65ba6777bf2163a4dae93e24bf9ae859ec2188e45cb"},"schema_version":"1.0"},"canonical_sha256":"eab582b925e3cac74213ea6fb178ba65c6254ee6ce586cad0c05bf835d7d1d73","source":{"kind":"arxiv","id":"1102.0458","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.0458","created_at":"2026-05-18T04:02:39Z"},{"alias_kind":"arxiv_version","alias_value":"1102.0458v3","created_at":"2026-05-18T04:02:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.0458","created_at":"2026-05-18T04:02:39Z"},{"alias_kind":"pith_short_12","alias_value":"5K2YFOJF4PFM","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"5K2YFOJF4PFMOQQT","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"5K2YFOJF","created_at":"2026-05-18T12:26:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:5K2YFOJF4PFMOQQT5JX3C6F2MX","target":"record","payload":{"canonical_record":{"source":{"id":"1102.0458","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-02-02T15:22:26Z","cross_cats_sorted":[],"title_canon_sha256":"1f1d8d1d2b5be8866ed6a604c0d3c5d90b7bca8eaabae7466ff0d859a2c1a069","abstract_canon_sha256":"579e52a2fafeb7dfe612c65ba6777bf2163a4dae93e24bf9ae859ec2188e45cb"},"schema_version":"1.0"},"canonical_sha256":"eab582b925e3cac74213ea6fb178ba65c6254ee6ce586cad0c05bf835d7d1d73","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:02:39.696653Z","signature_b64":"UoH98+lqMKGGHJ7M1NFme1b6rLPAt6nVXi5oJlwsbeTsZzqtGjgD/tWsEZR8ri7OE7WdIVjTCXk0LT/BNl8JCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"eab582b925e3cac74213ea6fb178ba65c6254ee6ce586cad0c05bf835d7d1d73","last_reissued_at":"2026-05-18T04:02:39.692264Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:02:39.692264Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1102.0458","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T04:02:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sy2WAHKWRDUz8wLD6K2tQlLkIfwv/IBPBJ5HASoht+YLGfaioQX66hcOQ6MApBvASLb4mJxcmeSu3VwXKSw7DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T11:49:53.384660Z"},"content_sha256":"95eef74a81dd4a0c1bbcbbfd0b7a910d575b443e3399b7bf7f19d1e753984036","schema_version":"1.0","event_id":"sha256:95eef74a81dd4a0c1bbcbbfd0b7a910d575b443e3399b7bf7f19d1e753984036"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:5K2YFOJF4PFMOQQT5JX3C6F2MX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The influence of mergers on the cluster temperature function and cosmological parameters derived from it","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Christian Angrick, Matthias Bartelmann","submitted_at":"2011-02-02T15:22:26Z","abstract_excerpt":"We develop a parameter-free analytic model to include the effects of mergers into the theoretical modelling of the X-ray temperature function of galaxy clusters. We include this description into our model for the cluster population based on fluctuations of the gravitational potential, which avoids any reference to mass. Comparisons with a numerical simulation reveal that the theoretical model is in good agreement with the simulation results. We show that building the model on the dynamics of spherical rather than ellipsoidal collapse yields better results if emission-weighted temperatures are "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.0458","kind":"arxiv","version":3},"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":"2026-05-18T04:02:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OphXluUTukBiyEPA92dg2SIahH1J2EzSHcC98x565bnZPeOUGvKD2GP1/bFqbLMKwENfOeI9aEOjnqnuZZTuBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T11:49:53.385038Z"},"content_sha256":"ce644d8ae22c419cbb9a5d94c55474f4c9ca28f1cdb11413933c733541d5e804","schema_version":"1.0","event_id":"sha256:ce644d8ae22c419cbb9a5d94c55474f4c9ca28f1cdb11413933c733541d5e804"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/5K2YFOJF4PFMOQQT5JX3C6F2MX/bundle.json","state_url":"https://pith.science/pith/5K2YFOJF4PFMOQQT5JX3C6F2MX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/5K2YFOJF4PFMOQQT5JX3C6F2MX/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":"2026-05-28T11:49:53Z","links":{"resolver":"https://pith.science/pith/5K2YFOJF4PFMOQQT5JX3C6F2MX","bundle":"https://pith.science/pith/5K2YFOJF4PFMOQQT5JX3C6F2MX/bundle.json","state":"https://pith.science/pith/5K2YFOJF4PFMOQQT5JX3C6F2MX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/5K2YFOJF4PFMOQQT5JX3C6F2MX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:5K2YFOJF4PFMOQQT5JX3C6F2MX","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":"579e52a2fafeb7dfe612c65ba6777bf2163a4dae93e24bf9ae859ec2188e45cb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-02-02T15:22:26Z","title_canon_sha256":"1f1d8d1d2b5be8866ed6a604c0d3c5d90b7bca8eaabae7466ff0d859a2c1a069"},"schema_version":"1.0","source":{"id":"1102.0458","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.0458","created_at":"2026-05-18T04:02:39Z"},{"alias_kind":"arxiv_version","alias_value":"1102.0458v3","created_at":"2026-05-18T04:02:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.0458","created_at":"2026-05-18T04:02:39Z"},{"alias_kind":"pith_short_12","alias_value":"5K2YFOJF4PFM","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_16","alias_value":"5K2YFOJF4PFMOQQT","created_at":"2026-05-18T12:26:20Z"},{"alias_kind":"pith_short_8","alias_value":"5K2YFOJF","created_at":"2026-05-18T12:26:20Z"}],"graph_snapshots":[{"event_id":"sha256:ce644d8ae22c419cbb9a5d94c55474f4c9ca28f1cdb11413933c733541d5e804","target":"graph","created_at":"2026-05-18T04:02:39Z","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 develop a parameter-free analytic model to include the effects of mergers into the theoretical modelling of the X-ray temperature function of galaxy clusters. We include this description into our model for the cluster population based on fluctuations of the gravitational potential, which avoids any reference to mass. Comparisons with a numerical simulation reveal that the theoretical model is in good agreement with the simulation results. We show that building the model on the dynamics of spherical rather than ellipsoidal collapse yields better results if emission-weighted temperatures are ","authors_text":"Christian Angrick, Matthias Bartelmann","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-02-02T15:22:26Z","title":"The influence of mergers on the cluster temperature function and cosmological parameters derived from it"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.0458","kind":"arxiv","version":3},"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":"sha256:95eef74a81dd4a0c1bbcbbfd0b7a910d575b443e3399b7bf7f19d1e753984036","target":"record","created_at":"2026-05-18T04:02:39Z","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":"579e52a2fafeb7dfe612c65ba6777bf2163a4dae93e24bf9ae859ec2188e45cb","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-02-02T15:22:26Z","title_canon_sha256":"1f1d8d1d2b5be8866ed6a604c0d3c5d90b7bca8eaabae7466ff0d859a2c1a069"},"schema_version":"1.0","source":{"id":"1102.0458","kind":"arxiv","version":3}},"canonical_sha256":"eab582b925e3cac74213ea6fb178ba65c6254ee6ce586cad0c05bf835d7d1d73","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"eab582b925e3cac74213ea6fb178ba65c6254ee6ce586cad0c05bf835d7d1d73","first_computed_at":"2026-05-18T04:02:39.692264Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:02:39.692264Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UoH98+lqMKGGHJ7M1NFme1b6rLPAt6nVXi5oJlwsbeTsZzqtGjgD/tWsEZR8ri7OE7WdIVjTCXk0LT/BNl8JCg==","signature_status":"signed_v1","signed_at":"2026-05-18T04:02:39.696653Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.0458","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:95eef74a81dd4a0c1bbcbbfd0b7a910d575b443e3399b7bf7f19d1e753984036","sha256:ce644d8ae22c419cbb9a5d94c55474f4c9ca28f1cdb11413933c733541d5e804"],"state_sha256":"e106c3697f0a2d8e59cf3f6daf27be79d3d4ae770edd2bf530d846ebfe880072"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bgZ+2XMEXu/1qCO9rKUSD5v/eBUfrdhdkgVSUg0FRbdIItj+uMmIPSFXAz4T+sYVP85dUdi3vKtB9CzWi9coDw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T11:49:53.387249Z","bundle_sha256":"c7c2af3d9c1455eef59e30eea4cb3b06e160bae4cbc70d220149f46812f4ce75"}}