{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1993:YTWIGTSKUYTHTHRNKMMW6CD7TO","short_pith_number":"pith:YTWIGTSK","canonical_record":{"source":{"id":"astro-ph/9304018","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1993-04-20T13:24:00Z","cross_cats_sorted":[],"title_canon_sha256":"a10da559fc70dec52d0ab4cafe8f92e7bf41d9523e2f008929bec612cafbcb3f","abstract_canon_sha256":"fad98b8dd29bc4768cdeb242e1f9687fd9c4710ff97869619e626f6bc3806c4d"},"schema_version":"1.0"},"canonical_sha256":"c4ec834e4aa626799e2d53196f087f9ba381107f49896d2d1ce6b8693cb4bf9a","source":{"kind":"arxiv","id":"astro-ph/9304018","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9304018","created_at":"2026-05-18T01:12:44Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9304018v1","created_at":"2026-05-18T01:12:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9304018","created_at":"2026-05-18T01:12:44Z"},{"alias_kind":"pith_short_12","alias_value":"YTWIGTSKUYTH","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"YTWIGTSKUYTHTHRN","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"YTWIGTSK","created_at":"2026-05-18T12:25:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1993:YTWIGTSKUYTHTHRNKMMW6CD7TO","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/9304018","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1993-04-20T13:24:00Z","cross_cats_sorted":[],"title_canon_sha256":"a10da559fc70dec52d0ab4cafe8f92e7bf41d9523e2f008929bec612cafbcb3f","abstract_canon_sha256":"fad98b8dd29bc4768cdeb242e1f9687fd9c4710ff97869619e626f6bc3806c4d"},"schema_version":"1.0"},"canonical_sha256":"c4ec834e4aa626799e2d53196f087f9ba381107f49896d2d1ce6b8693cb4bf9a","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:44.323012Z","signature_b64":"Wa6fDpA1J/+3YZHbVBDWiuYFY+aE3WofNHRO/6SfdN8vnWLA42AGq7f0q8jOLgeiVycKsjl6MYO5edF/nkaVCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c4ec834e4aa626799e2d53196f087f9ba381107f49896d2d1ce6b8693cb4bf9a","last_reissued_at":"2026-05-18T01:12:44.322679Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:44.322679Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/9304018","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":"2026-05-18T01:12:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KNTTu4jW6muJHwrA8zA3Vw5D7sP3VmHEIJb4NESO8SkIqFMG7rYOFAuXIA5Mj75hbbu8M844Q0gBoMoQ/mP9DA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T05:05:20.134235Z"},"content_sha256":"6ffa5eb820889f077419d6ca5799109360e7f31ae7e33260bbb6cf2e4fce1e93","schema_version":"1.0","event_id":"sha256:6ffa5eb820889f077419d6ca5799109360e7f31ae7e33260bbb6cf2e4fce1e93"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1993:YTWIGTSKUYTHTHRNKMMW6CD7TO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Fundamental Plane of Galaxy Clusters","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"A. Cappi, F. Bernardeau, R. Schaeffer, S. Maurogordato","submitted_at":"1993-04-20T13:24:00Z","abstract_excerpt":"Velocity dispersion $\\sigma$, radius $R$ and luminosity $L$ of elliptical galaxies are known to be related, leaving only two degrees of freedom and defining the so-called ``fundamental plane\". In this {\\em Letter} we present observational evidence that rich galaxy clusters exhibit a similar behaviour. Assuming a relation $L \\propto R^{\\alpha}\\sigma^{2 \\beta}$, the best-fit values of $\\alpha$ and $\\beta$ are very close to those defined by galaxies. The dispersion of this relation is lower than 10 percent, i.e. significantly smaller than the dispersion observed in the $L-\\sigma$ and $L-R$ relati"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9304018","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":"2026-05-18T01:12:44Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kl7JLVMu+8PXAUOC8QBNrP3mXEWra1x4Jy2e1CQg05QNBqQBo/FKPebasWAVcisbFTvd90Ra1SgjYhK9mkkRBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T05:05:20.134594Z"},"content_sha256":"d06b21149da4208bc6f79bf3c4437e68ed9fa609687bf28567c37c9f55c1f1b6","schema_version":"1.0","event_id":"sha256:d06b21149da4208bc6f79bf3c4437e68ed9fa609687bf28567c37c9f55c1f1b6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YTWIGTSKUYTHTHRNKMMW6CD7TO/bundle.json","state_url":"https://pith.science/pith/YTWIGTSKUYTHTHRNKMMW6CD7TO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YTWIGTSKUYTHTHRNKMMW6CD7TO/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":"2026-06-02T05:05:20Z","links":{"resolver":"https://pith.science/pith/YTWIGTSKUYTHTHRNKMMW6CD7TO","bundle":"https://pith.science/pith/YTWIGTSKUYTHTHRNKMMW6CD7TO/bundle.json","state":"https://pith.science/pith/YTWIGTSKUYTHTHRNKMMW6CD7TO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YTWIGTSKUYTHTHRNKMMW6CD7TO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1993:YTWIGTSKUYTHTHRNKMMW6CD7TO","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":"fad98b8dd29bc4768cdeb242e1f9687fd9c4710ff97869619e626f6bc3806c4d","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1993-04-20T13:24:00Z","title_canon_sha256":"a10da559fc70dec52d0ab4cafe8f92e7bf41d9523e2f008929bec612cafbcb3f"},"schema_version":"1.0","source":{"id":"astro-ph/9304018","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9304018","created_at":"2026-05-18T01:12:44Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9304018v1","created_at":"2026-05-18T01:12:44Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9304018","created_at":"2026-05-18T01:12:44Z"},{"alias_kind":"pith_short_12","alias_value":"YTWIGTSKUYTH","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_16","alias_value":"YTWIGTSKUYTHTHRN","created_at":"2026-05-18T12:25:47Z"},{"alias_kind":"pith_short_8","alias_value":"YTWIGTSK","created_at":"2026-05-18T12:25:47Z"}],"graph_snapshots":[{"event_id":"sha256:d06b21149da4208bc6f79bf3c4437e68ed9fa609687bf28567c37c9f55c1f1b6","target":"graph","created_at":"2026-05-18T01:12:44Z","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":"Velocity dispersion $\\sigma$, radius $R$ and luminosity $L$ of elliptical galaxies are known to be related, leaving only two degrees of freedom and defining the so-called ``fundamental plane\". In this {\\em Letter} we present observational evidence that rich galaxy clusters exhibit a similar behaviour. Assuming a relation $L \\propto R^{\\alpha}\\sigma^{2 \\beta}$, the best-fit values of $\\alpha$ and $\\beta$ are very close to those defined by galaxies. The dispersion of this relation is lower than 10 percent, i.e. significantly smaller than the dispersion observed in the $L-\\sigma$ and $L-R$ relati","authors_text":"A. Cappi, F. Bernardeau, R. Schaeffer, S. Maurogordato","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"1993-04-20T13:24:00Z","title":"The Fundamental Plane of Galaxy Clusters"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9304018","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":"sha256:6ffa5eb820889f077419d6ca5799109360e7f31ae7e33260bbb6cf2e4fce1e93","target":"record","created_at":"2026-05-18T01:12:44Z","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":"fad98b8dd29bc4768cdeb242e1f9687fd9c4710ff97869619e626f6bc3806c4d","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1993-04-20T13:24:00Z","title_canon_sha256":"a10da559fc70dec52d0ab4cafe8f92e7bf41d9523e2f008929bec612cafbcb3f"},"schema_version":"1.0","source":{"id":"astro-ph/9304018","kind":"arxiv","version":1}},"canonical_sha256":"c4ec834e4aa626799e2d53196f087f9ba381107f49896d2d1ce6b8693cb4bf9a","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c4ec834e4aa626799e2d53196f087f9ba381107f49896d2d1ce6b8693cb4bf9a","first_computed_at":"2026-05-18T01:12:44.322679Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:44.322679Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Wa6fDpA1J/+3YZHbVBDWiuYFY+aE3WofNHRO/6SfdN8vnWLA42AGq7f0q8jOLgeiVycKsjl6MYO5edF/nkaVCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:44.323012Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/9304018","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:6ffa5eb820889f077419d6ca5799109360e7f31ae7e33260bbb6cf2e4fce1e93","sha256:d06b21149da4208bc6f79bf3c4437e68ed9fa609687bf28567c37c9f55c1f1b6"],"state_sha256":"97dc8d97a0282bfed6d461daf84e1ec1902354c877b14813d564ee492eebdf9f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vqp8rJSDpYn71Izsm1EhDkiVRERPXq2oX3nn9qcunGUrIzTTPIV3PQxLoDsJ/TVxaisoz8wVxBAGRxU37W91DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T05:05:20.136584Z","bundle_sha256":"904f5c431643cbda7efc82dc3f6a5b41bc02a403372c26833a7f10be734baa5a"}}