{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:XYATRRY5LEPMGR4ZQPYFO3H3GL","short_pith_number":"pith:XYATRRY5","canonical_record":{"source":{"id":"2102.01696","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-02-02T19:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"a6f021ba2de0a4a92c2354a7d1270e1da474c48270c3fb278fa3bb0809c199cd","abstract_canon_sha256":"2be83d2be9a2bd5f9aa0f7f528ce11a3efa8a2f007c0a4c157380f28eb6b750c"},"schema_version":"1.0"},"canonical_sha256":"be0138c71d591ec3479983f0576cfb32dd931c5f9a2a381705958fe80c14f3b2","source":{"kind":"arxiv","id":"2102.01696","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2102.01696","created_at":"2026-07-05T02:55:39Z"},{"alias_kind":"arxiv_version","alias_value":"2102.01696v1","created_at":"2026-07-05T02:55:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2102.01696","created_at":"2026-07-05T02:55:39Z"},{"alias_kind":"pith_short_12","alias_value":"XYATRRY5LEPM","created_at":"2026-07-05T02:55:39Z"},{"alias_kind":"pith_short_16","alias_value":"XYATRRY5LEPMGR4Z","created_at":"2026-07-05T02:55:39Z"},{"alias_kind":"pith_short_8","alias_value":"XYATRRY5","created_at":"2026-07-05T02:55:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:XYATRRY5LEPMGR4ZQPYFO3H3GL","target":"record","payload":{"canonical_record":{"source":{"id":"2102.01696","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-02-02T19:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"a6f021ba2de0a4a92c2354a7d1270e1da474c48270c3fb278fa3bb0809c199cd","abstract_canon_sha256":"2be83d2be9a2bd5f9aa0f7f528ce11a3efa8a2f007c0a4c157380f28eb6b750c"},"schema_version":"1.0"},"canonical_sha256":"be0138c71d591ec3479983f0576cfb32dd931c5f9a2a381705958fe80c14f3b2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:55:39.136954Z","signature_b64":"f5ZfffHxxipyWNURbTcIZHc/pLBHIDXVswBtDBVolePIefpXOfXmnUdSxBOfx4Y9D1lp8nAqZNpID58CGvG8Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"be0138c71d591ec3479983f0576cfb32dd931c5f9a2a381705958fe80c14f3b2","last_reissued_at":"2026-07-05T02:55:39.136572Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:55:39.136572Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2102.01696","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":"2026-07-05T02:55:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eThc5W8vg438w33DesIqZr1rmmC4d7MdSfgANkx2jZK9u0CKjdjJ7/TTTg3N2utxVMmsrxS/YjAsJm95TFppBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T05:57:17.579191Z"},"content_sha256":"831034e270c10b30d872357e540aa80508f22030d27810ae91454e4b57e7242b","schema_version":"1.0","event_id":"sha256:831034e270c10b30d872357e540aa80508f22030d27810ae91454e4b57e7242b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:XYATRRY5LEPMGR4ZQPYFO3H3GL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Information Content of Higher-Order Galaxy Correlation Functions","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Francisco Villaescusa-Navarro, Lado Samushia, Zachary Slepian","submitted_at":"2021-02-02T19:00:00Z","abstract_excerpt":"The shapes of galaxy N-point correlation functions can be used as standard rulers to constrain the distance-redshift relationship and thence the expansion rate of the Universe. The cosmological density fields traced by late-time galaxy formation are initially nearly Gaussian, and hence all the cosmological information can be extracted from their 2-Point Correlation Function (2PCF) or its Fourier-space analog the power spectrum. Subsequent nonlinear evolution under gravity, as well as halo and then galaxy formation, generate higher-order correlation functions. Since the mapping of the initial t"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2102.01696","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2102.01696/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T02:55:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N59J+2dCS0GH8VJWo1enfDhxvmsiqkLK20A0Q0Kahfux1AGa4rcE+EGE0Kxz9f+McHcjcrYYiToeMXrPSHrqDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T05:57:17.579699Z"},"content_sha256":"430661208245756726b055b9f2c51cd493c1b7cd7dfdf3e99dfbd95487dd413c","schema_version":"1.0","event_id":"sha256:430661208245756726b055b9f2c51cd493c1b7cd7dfdf3e99dfbd95487dd413c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XYATRRY5LEPMGR4ZQPYFO3H3GL/bundle.json","state_url":"https://pith.science/pith/XYATRRY5LEPMGR4ZQPYFO3H3GL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XYATRRY5LEPMGR4ZQPYFO3H3GL/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":"2026-08-04T05:57:17Z","links":{"resolver":"https://pith.science/pith/XYATRRY5LEPMGR4ZQPYFO3H3GL","bundle":"https://pith.science/pith/XYATRRY5LEPMGR4ZQPYFO3H3GL/bundle.json","state":"https://pith.science/pith/XYATRRY5LEPMGR4ZQPYFO3H3GL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XYATRRY5LEPMGR4ZQPYFO3H3GL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:XYATRRY5LEPMGR4ZQPYFO3H3GL","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":"2be83d2be9a2bd5f9aa0f7f528ce11a3efa8a2f007c0a4c157380f28eb6b750c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-02-02T19:00:00Z","title_canon_sha256":"a6f021ba2de0a4a92c2354a7d1270e1da474c48270c3fb278fa3bb0809c199cd"},"schema_version":"1.0","source":{"id":"2102.01696","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2102.01696","created_at":"2026-07-05T02:55:39Z"},{"alias_kind":"arxiv_version","alias_value":"2102.01696v1","created_at":"2026-07-05T02:55:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2102.01696","created_at":"2026-07-05T02:55:39Z"},{"alias_kind":"pith_short_12","alias_value":"XYATRRY5LEPM","created_at":"2026-07-05T02:55:39Z"},{"alias_kind":"pith_short_16","alias_value":"XYATRRY5LEPMGR4Z","created_at":"2026-07-05T02:55:39Z"},{"alias_kind":"pith_short_8","alias_value":"XYATRRY5","created_at":"2026-07-05T02:55:39Z"}],"graph_snapshots":[{"event_id":"sha256:430661208245756726b055b9f2c51cd493c1b7cd7dfdf3e99dfbd95487dd413c","target":"graph","created_at":"2026-07-05T02:55:39Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2102.01696/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The shapes of galaxy N-point correlation functions can be used as standard rulers to constrain the distance-redshift relationship and thence the expansion rate of the Universe. The cosmological density fields traced by late-time galaxy formation are initially nearly Gaussian, and hence all the cosmological information can be extracted from their 2-Point Correlation Function (2PCF) or its Fourier-space analog the power spectrum. Subsequent nonlinear evolution under gravity, as well as halo and then galaxy formation, generate higher-order correlation functions. Since the mapping of the initial t","authors_text":"Francisco Villaescusa-Navarro, Lado Samushia, Zachary Slepian","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-02-02T19:00:00Z","title":"Information Content of Higher-Order Galaxy Correlation Functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2102.01696","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":"sha256:831034e270c10b30d872357e540aa80508f22030d27810ae91454e4b57e7242b","target":"record","created_at":"2026-07-05T02:55:39Z","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":"2be83d2be9a2bd5f9aa0f7f528ce11a3efa8a2f007c0a4c157380f28eb6b750c","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-02-02T19:00:00Z","title_canon_sha256":"a6f021ba2de0a4a92c2354a7d1270e1da474c48270c3fb278fa3bb0809c199cd"},"schema_version":"1.0","source":{"id":"2102.01696","kind":"arxiv","version":1}},"canonical_sha256":"be0138c71d591ec3479983f0576cfb32dd931c5f9a2a381705958fe80c14f3b2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"be0138c71d591ec3479983f0576cfb32dd931c5f9a2a381705958fe80c14f3b2","first_computed_at":"2026-07-05T02:55:39.136572Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:55:39.136572Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"f5ZfffHxxipyWNURbTcIZHc/pLBHIDXVswBtDBVolePIefpXOfXmnUdSxBOfx4Y9D1lp8nAqZNpID58CGvG8Bw==","signature_status":"signed_v1","signed_at":"2026-07-05T02:55:39.136954Z","signed_message":"canonical_sha256_bytes"},"source_id":"2102.01696","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:831034e270c10b30d872357e540aa80508f22030d27810ae91454e4b57e7242b","sha256:430661208245756726b055b9f2c51cd493c1b7cd7dfdf3e99dfbd95487dd413c"],"state_sha256":"8388a62edb680a1957f1a1502e210f7a2a80363bb42acfe7119dd25eb5a18ca6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ROlEQeDRFcS9Zr9hvHMpXBX2BCES3Eb4FpO4sDMyJZ4fyInSt2i3vPkiShUioFQ3t3ca/hoAft+NMidKTwsqCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T05:57:17.584183Z","bundle_sha256":"6aeb91432f4a860b02de891717948e138159d1e895f8e2ddb5d6f35d04818261"}}