{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:T7F3GRHN6ARJEZT4YZTYTFOOOF","short_pith_number":"pith:T7F3GRHN","canonical_record":{"source":{"id":"1307.7157","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-07-26T20:18:49Z","cross_cats_sorted":[],"title_canon_sha256":"afeb9db2744da3b5e616df7919153df882cd23bedba2c68ff439022039c06e5d","abstract_canon_sha256":"a3afbf915d5b4e309bfc8ef9b3b7945cce145d6e0bbfd1a703b64b266fe443bc"},"schema_version":"1.0"},"canonical_sha256":"9fcbb344edf02292667cc6678995ce717c4ebb2d48b934b857c7420053df4e7b","source":{"kind":"arxiv","id":"1307.7157","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.7157","created_at":"2026-05-18T01:48:33Z"},{"alias_kind":"arxiv_version","alias_value":"1307.7157v1","created_at":"2026-05-18T01:48:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.7157","created_at":"2026-05-18T01:48:33Z"},{"alias_kind":"pith_short_12","alias_value":"T7F3GRHN6ARJ","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"T7F3GRHN6ARJEZT4","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"T7F3GRHN","created_at":"2026-05-18T12:27:59Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:T7F3GRHN6ARJEZT4YZTYTFOOOF","target":"record","payload":{"canonical_record":{"source":{"id":"1307.7157","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-07-26T20:18:49Z","cross_cats_sorted":[],"title_canon_sha256":"afeb9db2744da3b5e616df7919153df882cd23bedba2c68ff439022039c06e5d","abstract_canon_sha256":"a3afbf915d5b4e309bfc8ef9b3b7945cce145d6e0bbfd1a703b64b266fe443bc"},"schema_version":"1.0"},"canonical_sha256":"9fcbb344edf02292667cc6678995ce717c4ebb2d48b934b857c7420053df4e7b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:48:33.960952Z","signature_b64":"K5+dQ3MnDfRSoOt5XSbwzWZZcpnX9EA4T9O+FNEtdEHlEJW4SUjQBmH0VMAC1ekjT5ieOcbFw4LJO8BdsowsDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9fcbb344edf02292667cc6678995ce717c4ebb2d48b934b857c7420053df4e7b","last_reissued_at":"2026-05-18T01:48:33.960337Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:48:33.960337Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1307.7157","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":"2026-05-18T01:48:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jK4C2kYoOJMztT39XwLbYkkUqrt6lidpMdukdrQTx/oMw0ezkmB0i4sOXRsVQvWjGjwOahMGQtTrWcefi8VrDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T05:26:34.916205Z"},"content_sha256":"fc6af6bb25af3423f705c13895495bfa8254959fb5a70c905adae9c92fe522fc","schema_version":"1.0","event_id":"sha256:fc6af6bb25af3423f705c13895495bfa8254959fb5a70c905adae9c92fe522fc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:T7F3GRHN6ARJEZT4YZTYTFOOOF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The generalized scaling relations for X-ray galaxy clusters: the most powerful mass proxy","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"S. Ettori (INAF-OA Bologna)","submitted_at":"2013-07-26T20:18:49Z","abstract_excerpt":"The application to observational data of the generalized scaling relations (gSR) presented in Ettori et al. (2012) is here discussed. We extend further the formalism of the gSR in the self-similar model for X-ray galaxy clusters, showing that for a generic relation M_tot ~ L^a M_g^b T^c, where L, M_g and T are the gas luminosity, mass and temperature, respectively, the values of the slopes lay in the plane 4*a+3*b+2*c=3. Using published dataset, we show that some projections of the gSR are the most efficient relations, holding among observed physical X-ray quantities, to recover the cluster ma"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.7157","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":"2026-05-18T01:48:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kLfRQfKYvgiL+FVRSRUWX41XlrPPfSRew2B/VzHrQDWqood6Frnq0syM9MAWlsZ9lgNQQo00+fCttyeGuhGjBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T05:26:34.916555Z"},"content_sha256":"6280a5262b334d4d6cd483a7ed8f11065f4879b5eeede7590f4757629329a7b7","schema_version":"1.0","event_id":"sha256:6280a5262b334d4d6cd483a7ed8f11065f4879b5eeede7590f4757629329a7b7"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/T7F3GRHN6ARJEZT4YZTYTFOOOF/bundle.json","state_url":"https://pith.science/pith/T7F3GRHN6ARJEZT4YZTYTFOOOF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/T7F3GRHN6ARJEZT4YZTYTFOOOF/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":"2026-06-29T05:26:34Z","links":{"resolver":"https://pith.science/pith/T7F3GRHN6ARJEZT4YZTYTFOOOF","bundle":"https://pith.science/pith/T7F3GRHN6ARJEZT4YZTYTFOOOF/bundle.json","state":"https://pith.science/pith/T7F3GRHN6ARJEZT4YZTYTFOOOF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/T7F3GRHN6ARJEZT4YZTYTFOOOF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:T7F3GRHN6ARJEZT4YZTYTFOOOF","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":"a3afbf915d5b4e309bfc8ef9b3b7945cce145d6e0bbfd1a703b64b266fe443bc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-07-26T20:18:49Z","title_canon_sha256":"afeb9db2744da3b5e616df7919153df882cd23bedba2c68ff439022039c06e5d"},"schema_version":"1.0","source":{"id":"1307.7157","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1307.7157","created_at":"2026-05-18T01:48:33Z"},{"alias_kind":"arxiv_version","alias_value":"1307.7157v1","created_at":"2026-05-18T01:48:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1307.7157","created_at":"2026-05-18T01:48:33Z"},{"alias_kind":"pith_short_12","alias_value":"T7F3GRHN6ARJ","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_16","alias_value":"T7F3GRHN6ARJEZT4","created_at":"2026-05-18T12:27:59Z"},{"alias_kind":"pith_short_8","alias_value":"T7F3GRHN","created_at":"2026-05-18T12:27:59Z"}],"graph_snapshots":[{"event_id":"sha256:6280a5262b334d4d6cd483a7ed8f11065f4879b5eeede7590f4757629329a7b7","target":"graph","created_at":"2026-05-18T01:48:33Z","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 application to observational data of the generalized scaling relations (gSR) presented in Ettori et al. (2012) is here discussed. We extend further the formalism of the gSR in the self-similar model for X-ray galaxy clusters, showing that for a generic relation M_tot ~ L^a M_g^b T^c, where L, M_g and T are the gas luminosity, mass and temperature, respectively, the values of the slopes lay in the plane 4*a+3*b+2*c=3. Using published dataset, we show that some projections of the gSR are the most efficient relations, holding among observed physical X-ray quantities, to recover the cluster ma","authors_text":"S. Ettori (INAF-OA Bologna)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-07-26T20:18:49Z","title":"The generalized scaling relations for X-ray galaxy clusters: the most powerful mass proxy"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1307.7157","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:fc6af6bb25af3423f705c13895495bfa8254959fb5a70c905adae9c92fe522fc","target":"record","created_at":"2026-05-18T01:48:33Z","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":"a3afbf915d5b4e309bfc8ef9b3b7945cce145d6e0bbfd1a703b64b266fe443bc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-07-26T20:18:49Z","title_canon_sha256":"afeb9db2744da3b5e616df7919153df882cd23bedba2c68ff439022039c06e5d"},"schema_version":"1.0","source":{"id":"1307.7157","kind":"arxiv","version":1}},"canonical_sha256":"9fcbb344edf02292667cc6678995ce717c4ebb2d48b934b857c7420053df4e7b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9fcbb344edf02292667cc6678995ce717c4ebb2d48b934b857c7420053df4e7b","first_computed_at":"2026-05-18T01:48:33.960337Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:48:33.960337Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"K5+dQ3MnDfRSoOt5XSbwzWZZcpnX9EA4T9O+FNEtdEHlEJW4SUjQBmH0VMAC1ekjT5ieOcbFw4LJO8BdsowsDg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:48:33.960952Z","signed_message":"canonical_sha256_bytes"},"source_id":"1307.7157","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fc6af6bb25af3423f705c13895495bfa8254959fb5a70c905adae9c92fe522fc","sha256:6280a5262b334d4d6cd483a7ed8f11065f4879b5eeede7590f4757629329a7b7"],"state_sha256":"13c1ec0965fe33332f1c66beff94589596ddcf0256025d9899539f24aa251356"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R2VoPh8OPJEfyMUcSqkAFJ8p46dm1Hlucozwds88DSgtDKRJVaiVhADNPJzDAkSKQ6xWBCjqgnpXtCbQhycwAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T05:26:34.918413Z","bundle_sha256":"72f699e5b69671ff6ff395e10ace518b7369cbaac096812eb69bc0842aa36afc"}}