{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:L3BQ3FQSAJJUTJZP53BC7SKVXD","short_pith_number":"pith:L3BQ3FQS","canonical_record":{"source":{"id":"1609.08613","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-09-27T20:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"94dd08cc69cf71fe212516a40474a7681127ed05dfbcedb81ea2b6d20258c8dd","abstract_canon_sha256":"7effaecc60b238a3dfb21d1f9b710efa5c943c858a778f2bd02ac625959de2a0"},"schema_version":"1.0"},"canonical_sha256":"5ec30d9612025349a72feec22fc955b8d1ac74c95b71d173097ab0c0f86b4693","source":{"kind":"arxiv","id":"1609.08613","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.08613","created_at":"2026-05-18T00:48:16Z"},{"alias_kind":"arxiv_version","alias_value":"1609.08613v1","created_at":"2026-05-18T00:48:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.08613","created_at":"2026-05-18T00:48:16Z"},{"alias_kind":"pith_short_12","alias_value":"L3BQ3FQSAJJU","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"L3BQ3FQSAJJUTJZP","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"L3BQ3FQS","created_at":"2026-05-18T12:30:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:L3BQ3FQSAJJUTJZP53BC7SKVXD","target":"record","payload":{"canonical_record":{"source":{"id":"1609.08613","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-09-27T20:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"94dd08cc69cf71fe212516a40474a7681127ed05dfbcedb81ea2b6d20258c8dd","abstract_canon_sha256":"7effaecc60b238a3dfb21d1f9b710efa5c943c858a778f2bd02ac625959de2a0"},"schema_version":"1.0"},"canonical_sha256":"5ec30d9612025349a72feec22fc955b8d1ac74c95b71d173097ab0c0f86b4693","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:16.971144Z","signature_b64":"BeIVgujCi6BKtsxkPKvqYJK0MKjr6MCd3fUsk8kFgFWVQaI3t5L8vntSKHr1BaEYE+yKRTKEHsPmBsyvLaACDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5ec30d9612025349a72feec22fc955b8d1ac74c95b71d173097ab0c0f86b4693","last_reissued_at":"2026-05-18T00:48:16.970148Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:16.970148Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1609.08613","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":"2026-05-18T00:48:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y78m1DiQ0XX1VQ3266sfEDvO9THm6Gr2CBgrWJYc8eOwCI/sTTLJZ3s4QTIX9RcrLKDUJtjK4WS7rKRjMLTwCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T02:29:08.980526Z"},"content_sha256":"bfb09cb2766961af2215f5262261d62ca62a294df6320d9f2474143f2c70ffaf","schema_version":"1.0","event_id":"sha256:bfb09cb2766961af2215f5262261d62ca62a294df6320d9f2474143f2c70ffaf"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:L3BQ3FQSAJJUTJZP53BC7SKVXD","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: higher-order correlations revealed by germ-grain Minkowski Functionals","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Alexander Wiegand, Daniel J. Eisenstein","submitted_at":"2016-09-27T20:00:00Z","abstract_excerpt":"We probe the higher-order clustering of the galaxies in the final data release (DR12) of the Sloan Digital Sky Survey Baryon Oscillation Spectroscopic Survey (BOSS) using the method of germ-grain Minkowski Functionals (MFs). Our sample consists of 410,615 BOSS galaxies from the northern Galactic cap in the redshift range 0.450--0.595. We show the MFs to be sensitive to contributions up to the six-point correlation function for this data set. We ensure with a custom angular mask that the results are more independent of boundary effects than in previous analyses of this type. We extract the high"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.08613","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":"2026-05-18T00:48:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3gb/G5tvcPmmBVm/aGt9y5eCaM79J31I9h+pkbv08RVBEMA3rQuVWi2uHabBt91iPpEwYBFJjnnaGeuge3YaAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-02T02:29:08.980874Z"},"content_sha256":"39c3c8f159eab3f532a52a0a2e23fb85482e86b2f63e42bb50245d7f6e05e7da","schema_version":"1.0","event_id":"sha256:39c3c8f159eab3f532a52a0a2e23fb85482e86b2f63e42bb50245d7f6e05e7da"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/L3BQ3FQSAJJUTJZP53BC7SKVXD/bundle.json","state_url":"https://pith.science/pith/L3BQ3FQSAJJUTJZP53BC7SKVXD/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/L3BQ3FQSAJJUTJZP53BC7SKVXD/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":"2026-06-02T02:29:08Z","links":{"resolver":"https://pith.science/pith/L3BQ3FQSAJJUTJZP53BC7SKVXD","bundle":"https://pith.science/pith/L3BQ3FQSAJJUTJZP53BC7SKVXD/bundle.json","state":"https://pith.science/pith/L3BQ3FQSAJJUTJZP53BC7SKVXD/state.json","well_known_bundle":"https://pith.science/.well-known/pith/L3BQ3FQSAJJUTJZP53BC7SKVXD/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:L3BQ3FQSAJJUTJZP53BC7SKVXD","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":"7effaecc60b238a3dfb21d1f9b710efa5c943c858a778f2bd02ac625959de2a0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-09-27T20:00:00Z","title_canon_sha256":"94dd08cc69cf71fe212516a40474a7681127ed05dfbcedb81ea2b6d20258c8dd"},"schema_version":"1.0","source":{"id":"1609.08613","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1609.08613","created_at":"2026-05-18T00:48:16Z"},{"alias_kind":"arxiv_version","alias_value":"1609.08613v1","created_at":"2026-05-18T00:48:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1609.08613","created_at":"2026-05-18T00:48:16Z"},{"alias_kind":"pith_short_12","alias_value":"L3BQ3FQSAJJU","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_16","alias_value":"L3BQ3FQSAJJUTJZP","created_at":"2026-05-18T12:30:29Z"},{"alias_kind":"pith_short_8","alias_value":"L3BQ3FQS","created_at":"2026-05-18T12:30:29Z"}],"graph_snapshots":[{"event_id":"sha256:39c3c8f159eab3f532a52a0a2e23fb85482e86b2f63e42bb50245d7f6e05e7da","target":"graph","created_at":"2026-05-18T00:48:16Z","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 probe the higher-order clustering of the galaxies in the final data release (DR12) of the Sloan Digital Sky Survey Baryon Oscillation Spectroscopic Survey (BOSS) using the method of germ-grain Minkowski Functionals (MFs). Our sample consists of 410,615 BOSS galaxies from the northern Galactic cap in the redshift range 0.450--0.595. We show the MFs to be sensitive to contributions up to the six-point correlation function for this data set. We ensure with a custom angular mask that the results are more independent of boundary effects than in previous analyses of this type. We extract the high","authors_text":"Alexander Wiegand, Daniel J. Eisenstein","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-09-27T20:00:00Z","title":"The clustering of galaxies in the SDSS-III Baryon Oscillation Spectroscopic Survey: higher-order correlations revealed by germ-grain Minkowski Functionals"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1609.08613","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:bfb09cb2766961af2215f5262261d62ca62a294df6320d9f2474143f2c70ffaf","target":"record","created_at":"2026-05-18T00:48:16Z","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":"7effaecc60b238a3dfb21d1f9b710efa5c943c858a778f2bd02ac625959de2a0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2016-09-27T20:00:00Z","title_canon_sha256":"94dd08cc69cf71fe212516a40474a7681127ed05dfbcedb81ea2b6d20258c8dd"},"schema_version":"1.0","source":{"id":"1609.08613","kind":"arxiv","version":1}},"canonical_sha256":"5ec30d9612025349a72feec22fc955b8d1ac74c95b71d173097ab0c0f86b4693","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5ec30d9612025349a72feec22fc955b8d1ac74c95b71d173097ab0c0f86b4693","first_computed_at":"2026-05-18T00:48:16.970148Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:48:16.970148Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"BeIVgujCi6BKtsxkPKvqYJK0MKjr6MCd3fUsk8kFgFWVQaI3t5L8vntSKHr1BaEYE+yKRTKEHsPmBsyvLaACDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T00:48:16.971144Z","signed_message":"canonical_sha256_bytes"},"source_id":"1609.08613","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bfb09cb2766961af2215f5262261d62ca62a294df6320d9f2474143f2c70ffaf","sha256:39c3c8f159eab3f532a52a0a2e23fb85482e86b2f63e42bb50245d7f6e05e7da"],"state_sha256":"df185bc29cb0f2167e56dc44ff76b3c338d1561397d5ff283edb9b54dfec200d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0FDFE0NuSW0vI7y8H4iuhNYhAgRhY0QYQrwHZQXLPBh4ZSXfkx20aumU3yRSSnvBjNejdtHlJSQdCXEEALg7DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-02T02:29:08.982799Z","bundle_sha256":"906bcc6eb91ee9f6fb63111e2e02a3ecf8fb52679e5be89deaa2876446962703"}}