{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:ZPJE33OFAF2N3CMK47Q6XJSTUR","short_pith_number":"pith:ZPJE33OF","canonical_record":{"source":{"id":"1106.4052","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-06-20T21:35:51Z","cross_cats_sorted":[],"title_canon_sha256":"0229af928d176e7f0f6c28d034bac1f5fb6236fc0c3d5b8047b3b2867bb0302c","abstract_canon_sha256":"a398d4a4176346d2080b58821b4345a54284626261d53f4e5ebdd725d1463a6a"},"schema_version":"1.0"},"canonical_sha256":"cbd24dedc50174dd898ae7e1eba653a4596c6e1b706735eb890b77a4ccc978b2","source":{"kind":"arxiv","id":"1106.4052","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.4052","created_at":"2026-05-18T04:19:40Z"},{"alias_kind":"arxiv_version","alias_value":"1106.4052v1","created_at":"2026-05-18T04:19:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.4052","created_at":"2026-05-18T04:19:40Z"},{"alias_kind":"pith_short_12","alias_value":"ZPJE33OFAF2N","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"ZPJE33OFAF2N3CMK","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"ZPJE33OF","created_at":"2026-05-18T12:26:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:ZPJE33OFAF2N3CMK47Q6XJSTUR","target":"record","payload":{"canonical_record":{"source":{"id":"1106.4052","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-06-20T21:35:51Z","cross_cats_sorted":[],"title_canon_sha256":"0229af928d176e7f0f6c28d034bac1f5fb6236fc0c3d5b8047b3b2867bb0302c","abstract_canon_sha256":"a398d4a4176346d2080b58821b4345a54284626261d53f4e5ebdd725d1463a6a"},"schema_version":"1.0"},"canonical_sha256":"cbd24dedc50174dd898ae7e1eba653a4596c6e1b706735eb890b77a4ccc978b2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:19:40.825136Z","signature_b64":"vJk1dkfKAqrFj84D20gVAJWtTFwzs7yyrYjhXe/3SiLOoelRHEYb8evT9nyQ0wTtSjN1Fx7AyaBF1V9o6V3/Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cbd24dedc50174dd898ae7e1eba653a4596c6e1b706735eb890b77a4ccc978b2","last_reissued_at":"2026-05-18T04:19:40.824722Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:19:40.824722Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1106.4052","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":"2026-05-18T04:19:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2VGn5mpmncW66SZl8Hf/ySdXBWLrtZiDmNuPKF+Q2/eYIbiomr2XsQPj3KGWEO2MuOmmwN4ogHwygVnszEw+Bw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T10:59:07.041390Z"},"content_sha256":"7337247e74efc9429ac1dfa613a9fd8fcded63e1dbbad3f404f8e8f85ecb0ea6","schema_version":"1.0","event_id":"sha256:7337247e74efc9429ac1dfa613a9fd8fcded63e1dbbad3f404f8e8f85ecb0ea6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:ZPJE33OFAF2N3CMK47Q6XJSTUR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Implicit Priors in Galaxy Cluster Mass and Scaling Relation Determinations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Adam Mantz (NASA/GSFC), Stanford/SLAC), Steven W. Allen (KIPAC","submitted_at":"2011-06-20T21:35:51Z","abstract_excerpt":"Deriving the total masses of galaxy clusters from observations of the intracluster medium (ICM) generally requires some prior information, in addition to the assumptions of hydrostatic equilibrium and spherical symmetry. Often, this information takes the form of particular parametrized functions used to describe the cluster gas density and temperature profiles. In this paper, we investigate the implicit priors on hydrostatic masses that result from this fully parametric approach, and the implications of such priors for scaling relations formed from those masses. We show that the application of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.4052","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":"2026-05-18T04:19:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"59qQWxdiYPqZdDatEEwds+PfeyvksRWjYqDUhNZ2CHT8URlPQryHVjEl/tQxDjB0PDrHLaEuhHJ7wwOCdnDBCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T10:59:07.041779Z"},"content_sha256":"7cdd141d6078b862ffc8df2db1dfbf6629944d52c4752a32a66b4d6f60deb70c","schema_version":"1.0","event_id":"sha256:7cdd141d6078b862ffc8df2db1dfbf6629944d52c4752a32a66b4d6f60deb70c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZPJE33OFAF2N3CMK47Q6XJSTUR/bundle.json","state_url":"https://pith.science/pith/ZPJE33OFAF2N3CMK47Q6XJSTUR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZPJE33OFAF2N3CMK47Q6XJSTUR/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":"2026-06-03T10:59:07Z","links":{"resolver":"https://pith.science/pith/ZPJE33OFAF2N3CMK47Q6XJSTUR","bundle":"https://pith.science/pith/ZPJE33OFAF2N3CMK47Q6XJSTUR/bundle.json","state":"https://pith.science/pith/ZPJE33OFAF2N3CMK47Q6XJSTUR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZPJE33OFAF2N3CMK47Q6XJSTUR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:ZPJE33OFAF2N3CMK47Q6XJSTUR","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":"a398d4a4176346d2080b58821b4345a54284626261d53f4e5ebdd725d1463a6a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-06-20T21:35:51Z","title_canon_sha256":"0229af928d176e7f0f6c28d034bac1f5fb6236fc0c3d5b8047b3b2867bb0302c"},"schema_version":"1.0","source":{"id":"1106.4052","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1106.4052","created_at":"2026-05-18T04:19:40Z"},{"alias_kind":"arxiv_version","alias_value":"1106.4052v1","created_at":"2026-05-18T04:19:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1106.4052","created_at":"2026-05-18T04:19:40Z"},{"alias_kind":"pith_short_12","alias_value":"ZPJE33OFAF2N","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"ZPJE33OFAF2N3CMK","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"ZPJE33OF","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:7cdd141d6078b862ffc8df2db1dfbf6629944d52c4752a32a66b4d6f60deb70c","target":"graph","created_at":"2026-05-18T04:19:40Z","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":"Deriving the total masses of galaxy clusters from observations of the intracluster medium (ICM) generally requires some prior information, in addition to the assumptions of hydrostatic equilibrium and spherical symmetry. Often, this information takes the form of particular parametrized functions used to describe the cluster gas density and temperature profiles. In this paper, we investigate the implicit priors on hydrostatic masses that result from this fully parametric approach, and the implications of such priors for scaling relations formed from those masses. We show that the application of","authors_text":"Adam Mantz (NASA/GSFC), Stanford/SLAC), Steven W. Allen (KIPAC","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-06-20T21:35:51Z","title":"Implicit Priors in Galaxy Cluster Mass and Scaling Relation Determinations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1106.4052","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":"sha256:7337247e74efc9429ac1dfa613a9fd8fcded63e1dbbad3f404f8e8f85ecb0ea6","target":"record","created_at":"2026-05-18T04:19:40Z","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":"a398d4a4176346d2080b58821b4345a54284626261d53f4e5ebdd725d1463a6a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2011-06-20T21:35:51Z","title_canon_sha256":"0229af928d176e7f0f6c28d034bac1f5fb6236fc0c3d5b8047b3b2867bb0302c"},"schema_version":"1.0","source":{"id":"1106.4052","kind":"arxiv","version":1}},"canonical_sha256":"cbd24dedc50174dd898ae7e1eba653a4596c6e1b706735eb890b77a4ccc978b2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cbd24dedc50174dd898ae7e1eba653a4596c6e1b706735eb890b77a4ccc978b2","first_computed_at":"2026-05-18T04:19:40.824722Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:19:40.824722Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"vJk1dkfKAqrFj84D20gVAJWtTFwzs7yyrYjhXe/3SiLOoelRHEYb8evT9nyQ0wTtSjN1Fx7AyaBF1V9o6V3/Aw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:19:40.825136Z","signed_message":"canonical_sha256_bytes"},"source_id":"1106.4052","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7337247e74efc9429ac1dfa613a9fd8fcded63e1dbbad3f404f8e8f85ecb0ea6","sha256:7cdd141d6078b862ffc8df2db1dfbf6629944d52c4752a32a66b4d6f60deb70c"],"state_sha256":"55ae0fe759bc05deed8a5f0930eaf261547eb42eae89a794058bd4d82cb9016b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7X9dglPd/u6zlgVLNPoWY/1yzArvzQTz2uGfQ2ekW+a/RSkczWun8LTMr+lOohwkPIPBwxS1j6W1mG7ks4+LBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T10:59:07.043753Z","bundle_sha256":"d0031ea57d952780fa361717fda68138c1450dd7356b8628f6160b3b2e89b769"}}