{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1997:R4O6ZOL2VJUMW4QIVW3DN7RKIG","short_pith_number":"pith:R4O6ZOL2","canonical_record":{"source":{"id":"astro-ph/9704127","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1997-04-14T18:43:59Z","cross_cats_sorted":[],"title_canon_sha256":"cddb88aece8d51f467764b28d1ecae28dfce6800acc71c6934a11303df282970","abstract_canon_sha256":"1d1accb6db0daeeb7399ff181454bdf854b50559c77b6ad1964ba431283807b6"},"schema_version":"1.0"},"canonical_sha256":"8f1decb97aaa68cb7208adb636fe2a4193e327c6b61da99346da9298f7501a42","source":{"kind":"arxiv","id":"astro-ph/9704127","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9704127","created_at":"2026-05-18T01:40:17Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9704127v1","created_at":"2026-05-18T01:40:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9704127","created_at":"2026-05-18T01:40:17Z"},{"alias_kind":"pith_short_12","alias_value":"R4O6ZOL2VJUM","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"R4O6ZOL2VJUMW4QI","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"R4O6ZOL2","created_at":"2026-05-18T12:25:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1997:R4O6ZOL2VJUMW4QIVW3DN7RKIG","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/9704127","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"1997-04-14T18:43:59Z","cross_cats_sorted":[],"title_canon_sha256":"cddb88aece8d51f467764b28d1ecae28dfce6800acc71c6934a11303df282970","abstract_canon_sha256":"1d1accb6db0daeeb7399ff181454bdf854b50559c77b6ad1964ba431283807b6"},"schema_version":"1.0"},"canonical_sha256":"8f1decb97aaa68cb7208adb636fe2a4193e327c6b61da99346da9298f7501a42","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:40:17.757644Z","signature_b64":"rFf7GxnqckVucnQTWwiLaoKvD/on1I71OxQHkfl2TP9WhIQioKe+FII4nrYXDyQRTtz27nzPyCI4SmwXc6uADA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8f1decb97aaa68cb7208adb636fe2a4193e327c6b61da99346da9298f7501a42","last_reissued_at":"2026-05-18T01:40:17.756999Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:40:17.756999Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/9704127","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":"2026-05-18T01:40:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EzYSanGVjfHw8ZisUa+JaT63ob0IkDxEakkCxJozWR31z2w4nFv+pHyZNQUzbD8mFPw7d2bVovI5MGdZWBLJAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T02:01:56.996206Z"},"content_sha256":"d91d53de59a021efc14d2aeb5da4b1723b1d57449240911c446e4b103be5e207","schema_version":"1.0","event_id":"sha256:d91d53de59a021efc14d2aeb5da4b1723b1d57449240911c446e4b103be5e207"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1997:R4O6ZOL2VJUMW4QIVW3DN7RKIG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The supercluster--void network II. An oscillating cluster correlation function","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"A. A. Starobinsky, D. Tucker, E. Tago, H. Andernach, J. Einasto, M. Einasto, P. Frisch, S. Gottl\\\"ober, V. M\\\"uller, V. Saar","submitted_at":"1997-04-14T18:43:59Z","abstract_excerpt":"We use rich clusters of galaxies in the Northern and Southern Galactic hemispheres up to a redshift z=0.12 to determine the cluster correlation function. We show that superclusters of galaxies and voids between them form a moderately regular network. As a result the correlation function determined for clusters located in rich superclusters oscillates: it has a series of regularly spaced secondary maxima and minima. The scale of the supercluster-void network, determined from the period of oscillations, is P=115 Mpc. The amplitude of oscillations is about 3 times larger than the estimated error."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9704127","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":"2026-05-18T01:40:17Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"g2j4voTyt3EDLIHi2V3svXsweemJLt4fVTU8UeSYVBjFwENEczUyWF30x7JKmY12PYTslP4jc/r4AjieWsvGBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-28T02:01:56.996569Z"},"content_sha256":"4ddb8079ae55d0afe06f1d9ba9d7a2b4057dc8061a440135c28e4a42aef8c4c2","schema_version":"1.0","event_id":"sha256:4ddb8079ae55d0afe06f1d9ba9d7a2b4057dc8061a440135c28e4a42aef8c4c2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/R4O6ZOL2VJUMW4QIVW3DN7RKIG/bundle.json","state_url":"https://pith.science/pith/R4O6ZOL2VJUMW4QIVW3DN7RKIG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/R4O6ZOL2VJUMW4QIVW3DN7RKIG/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":"2026-05-28T02:01:56Z","links":{"resolver":"https://pith.science/pith/R4O6ZOL2VJUMW4QIVW3DN7RKIG","bundle":"https://pith.science/pith/R4O6ZOL2VJUMW4QIVW3DN7RKIG/bundle.json","state":"https://pith.science/pith/R4O6ZOL2VJUMW4QIVW3DN7RKIG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/R4O6ZOL2VJUMW4QIVW3DN7RKIG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1997:R4O6ZOL2VJUMW4QIVW3DN7RKIG","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":"1d1accb6db0daeeb7399ff181454bdf854b50559c77b6ad1964ba431283807b6","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1997-04-14T18:43:59Z","title_canon_sha256":"cddb88aece8d51f467764b28d1ecae28dfce6800acc71c6934a11303df282970"},"schema_version":"1.0","source":{"id":"astro-ph/9704127","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/9704127","created_at":"2026-05-18T01:40:17Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/9704127v1","created_at":"2026-05-18T01:40:17Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/9704127","created_at":"2026-05-18T01:40:17Z"},{"alias_kind":"pith_short_12","alias_value":"R4O6ZOL2VJUM","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_16","alias_value":"R4O6ZOL2VJUMW4QI","created_at":"2026-05-18T12:25:48Z"},{"alias_kind":"pith_short_8","alias_value":"R4O6ZOL2","created_at":"2026-05-18T12:25:48Z"}],"graph_snapshots":[{"event_id":"sha256:4ddb8079ae55d0afe06f1d9ba9d7a2b4057dc8061a440135c28e4a42aef8c4c2","target":"graph","created_at":"2026-05-18T01:40:17Z","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 use rich clusters of galaxies in the Northern and Southern Galactic hemispheres up to a redshift z=0.12 to determine the cluster correlation function. We show that superclusters of galaxies and voids between them form a moderately regular network. As a result the correlation function determined for clusters located in rich superclusters oscillates: it has a series of regularly spaced secondary maxima and minima. The scale of the supercluster-void network, determined from the period of oscillations, is P=115 Mpc. The amplitude of oscillations is about 3 times larger than the estimated error.","authors_text":"A. A. Starobinsky, D. Tucker, E. Tago, H. Andernach, J. Einasto, M. Einasto, P. Frisch, S. Gottl\\\"ober, V. M\\\"uller, V. Saar","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"1997-04-14T18:43:59Z","title":"The supercluster--void network II. An oscillating cluster correlation function"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/9704127","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:d91d53de59a021efc14d2aeb5da4b1723b1d57449240911c446e4b103be5e207","target":"record","created_at":"2026-05-18T01:40:17Z","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":"1d1accb6db0daeeb7399ff181454bdf854b50559c77b6ad1964ba431283807b6","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"1997-04-14T18:43:59Z","title_canon_sha256":"cddb88aece8d51f467764b28d1ecae28dfce6800acc71c6934a11303df282970"},"schema_version":"1.0","source":{"id":"astro-ph/9704127","kind":"arxiv","version":1}},"canonical_sha256":"8f1decb97aaa68cb7208adb636fe2a4193e327c6b61da99346da9298f7501a42","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"8f1decb97aaa68cb7208adb636fe2a4193e327c6b61da99346da9298f7501a42","first_computed_at":"2026-05-18T01:40:17.756999Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:40:17.756999Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"rFf7GxnqckVucnQTWwiLaoKvD/on1I71OxQHkfl2TP9WhIQioKe+FII4nrYXDyQRTtz27nzPyCI4SmwXc6uADA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:40:17.757644Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/9704127","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d91d53de59a021efc14d2aeb5da4b1723b1d57449240911c446e4b103be5e207","sha256:4ddb8079ae55d0afe06f1d9ba9d7a2b4057dc8061a440135c28e4a42aef8c4c2"],"state_sha256":"7d7a9a805d823f812ede9690e607f856d05b7086d58b72197ec104e955da6ad1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nI0iNt5Ad5mAFe+zwTgI9zBW0r7RqowSVR4umTZFOcKC9DW/abrIwIqJR0qXJbZA8J6m4OqmLV+Pc8g7kmwIBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-28T02:01:56.998687Z","bundle_sha256":"c45dcfee9c86df140e98c1af85048182b539c61a8de7fc61438f5ae37058f0ed"}}