{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:YPXK3VPMZF6GMJFKM34QPU2HFP","short_pith_number":"pith:YPXK3VPM","canonical_record":{"source":{"id":"astro-ph/0509647","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2005-09-21T20:27:09Z","cross_cats_sorted":[],"title_canon_sha256":"b597efbb5871c3b37b58a140b2628b5f6e7d09c5c086aaec36f12f7bc00167e9","abstract_canon_sha256":"bcf37f55fb2d449cdfc94941be4f01f66bfb8c9de94739f702f4833934d66db9"},"schema_version":"1.0"},"canonical_sha256":"c3eeadd5ecc97c6624aa66f907d3472bdcbaa4eef483c44dc0f8e22f6e010cc7","source":{"kind":"arxiv","id":"astro-ph/0509647","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0509647","created_at":"2026-05-18T01:07:30Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0509647v1","created_at":"2026-05-18T01:07:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0509647","created_at":"2026-05-18T01:07:30Z"},{"alias_kind":"pith_short_12","alias_value":"YPXK3VPMZF6G","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"YPXK3VPMZF6GMJFK","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"YPXK3VPM","created_at":"2026-05-18T12:25:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:YPXK3VPMZF6GMJFKM34QPU2HFP","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/0509647","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2005-09-21T20:27:09Z","cross_cats_sorted":[],"title_canon_sha256":"b597efbb5871c3b37b58a140b2628b5f6e7d09c5c086aaec36f12f7bc00167e9","abstract_canon_sha256":"bcf37f55fb2d449cdfc94941be4f01f66bfb8c9de94739f702f4833934d66db9"},"schema_version":"1.0"},"canonical_sha256":"c3eeadd5ecc97c6624aa66f907d3472bdcbaa4eef483c44dc0f8e22f6e010cc7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:07:30.526966Z","signature_b64":"PAdmzZ/btjc36nBrlFmyeA4Th5iy78ycVj/+e14R8x8WV0IFdfTyDeaPeUhdgO11E2CCptnEUZ2R/Vy9vyVpAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c3eeadd5ecc97c6624aa66f907d3472bdcbaa4eef483c44dc0f8e22f6e010cc7","last_reissued_at":"2026-05-18T01:07:30.526307Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:07:30.526307Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/0509647","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":"2026-05-18T01:07:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FKP7JiP3SoVX2M6IrOnvs7hLPfv2QKT1ZIVAPnQapAEdUUM817oXPOkPjf/1RVkauXKIqHecvYtEJ8TEk9UWAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T02:52:14.782628Z"},"content_sha256":"cbd23b78dfba06899be25977735ffe3e090ba7d0fc17189e6fe78e6b2884fb7c","schema_version":"1.0","event_id":"sha256:cbd23b78dfba06899be25977735ffe3e090ba7d0fc17189e6fe78e6b2884fb7c"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:YPXK3VPMZF6GMJFKM34QPU2HFP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Cluster Merger Variance and the Luminosity Gap Statistic","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Asantha Cooray (UC Irvine), Christopher J. Miller (CTIO), Milos Milosavljevic (Caltech), Steven R. Furlanetto (Caltech)","submitted_at":"2005-09-21T20:27:09Z","abstract_excerpt":"The presence of multiple luminous galaxies in clusters can be explained by the finite time over which a galaxy sinks to the center of the cluster and merges with the the central galaxy. The simplest measurable statistic to quantify the dynamical age of a system of galaxies is the luminosity (magnitude) gap, which is the difference in photometric magnitude between the two most luminous galaxies. We present a simple analytical estimate of the luminosity gap distribution in groups and clusters as a function of dark matter halo mass. The luminosity gap is used to define \"fossil\" groups; we expect "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0509647","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":"2026-05-18T01:07:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Cwsm1SLZN81laQpHeq81V2iyIY9qxFIYrmbrYzuYtupEW3nXVEblCC3iwQHx0zw2VjhfF1W/y7X9TjiQzta5CA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-04T02:52:14.782985Z"},"content_sha256":"7ce20039278a02fad6bb74c9a038d2b5a825365711f790f34e5db3321a6fd2e2","schema_version":"1.0","event_id":"sha256:7ce20039278a02fad6bb74c9a038d2b5a825365711f790f34e5db3321a6fd2e2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YPXK3VPMZF6GMJFKM34QPU2HFP/bundle.json","state_url":"https://pith.science/pith/YPXK3VPMZF6GMJFKM34QPU2HFP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YPXK3VPMZF6GMJFKM34QPU2HFP/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":"2026-06-04T02:52:14Z","links":{"resolver":"https://pith.science/pith/YPXK3VPMZF6GMJFKM34QPU2HFP","bundle":"https://pith.science/pith/YPXK3VPMZF6GMJFKM34QPU2HFP/bundle.json","state":"https://pith.science/pith/YPXK3VPMZF6GMJFKM34QPU2HFP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YPXK3VPMZF6GMJFKM34QPU2HFP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:YPXK3VPMZF6GMJFKM34QPU2HFP","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":"bcf37f55fb2d449cdfc94941be4f01f66bfb8c9de94739f702f4833934d66db9","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2005-09-21T20:27:09Z","title_canon_sha256":"b597efbb5871c3b37b58a140b2628b5f6e7d09c5c086aaec36f12f7bc00167e9"},"schema_version":"1.0","source":{"id":"astro-ph/0509647","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0509647","created_at":"2026-05-18T01:07:30Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0509647v1","created_at":"2026-05-18T01:07:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0509647","created_at":"2026-05-18T01:07:30Z"},{"alias_kind":"pith_short_12","alias_value":"YPXK3VPMZF6G","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_16","alias_value":"YPXK3VPMZF6GMJFK","created_at":"2026-05-18T12:25:53Z"},{"alias_kind":"pith_short_8","alias_value":"YPXK3VPM","created_at":"2026-05-18T12:25:53Z"}],"graph_snapshots":[{"event_id":"sha256:7ce20039278a02fad6bb74c9a038d2b5a825365711f790f34e5db3321a6fd2e2","target":"graph","created_at":"2026-05-18T01:07:30Z","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":"The presence of multiple luminous galaxies in clusters can be explained by the finite time over which a galaxy sinks to the center of the cluster and merges with the the central galaxy. The simplest measurable statistic to quantify the dynamical age of a system of galaxies is the luminosity (magnitude) gap, which is the difference in photometric magnitude between the two most luminous galaxies. We present a simple analytical estimate of the luminosity gap distribution in groups and clusters as a function of dark matter halo mass. The luminosity gap is used to define \"fossil\" groups; we expect ","authors_text":"Asantha Cooray (UC Irvine), Christopher J. Miller (CTIO), Milos Milosavljevic (Caltech), Steven R. Furlanetto (Caltech)","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2005-09-21T20:27:09Z","title":"Cluster Merger Variance and the Luminosity Gap Statistic"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0509647","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:cbd23b78dfba06899be25977735ffe3e090ba7d0fc17189e6fe78e6b2884fb7c","target":"record","created_at":"2026-05-18T01:07:30Z","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":"bcf37f55fb2d449cdfc94941be4f01f66bfb8c9de94739f702f4833934d66db9","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2005-09-21T20:27:09Z","title_canon_sha256":"b597efbb5871c3b37b58a140b2628b5f6e7d09c5c086aaec36f12f7bc00167e9"},"schema_version":"1.0","source":{"id":"astro-ph/0509647","kind":"arxiv","version":1}},"canonical_sha256":"c3eeadd5ecc97c6624aa66f907d3472bdcbaa4eef483c44dc0f8e22f6e010cc7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c3eeadd5ecc97c6624aa66f907d3472bdcbaa4eef483c44dc0f8e22f6e010cc7","first_computed_at":"2026-05-18T01:07:30.526307Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:07:30.526307Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"PAdmzZ/btjc36nBrlFmyeA4Th5iy78ycVj/+e14R8x8WV0IFdfTyDeaPeUhdgO11E2CCptnEUZ2R/Vy9vyVpAA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:07:30.526966Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/0509647","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:cbd23b78dfba06899be25977735ffe3e090ba7d0fc17189e6fe78e6b2884fb7c","sha256:7ce20039278a02fad6bb74c9a038d2b5a825365711f790f34e5db3321a6fd2e2"],"state_sha256":"ceed549aa7bdb08c84bb5fae858cb7ba1cb1c251e17988b2fedece11acc1767c"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q1GxBHeY84ZMZX3bPZL6K6TDPE21AKB11eCC4tWjWs7Vf/5BZWLnBKJgvBiQVdd3cpyOzHlsWyOpjlKp2hgWDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-04T02:52:14.785224Z","bundle_sha256":"7ecfd82b743bab1a0f605872dd8c0d3c3997ef7d301fd51c703be8d1ec07c3d2"}}