{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:FPEHSDK2D6VS76V6CTBPYBVNUV","short_pith_number":"pith:FPEHSDK2","canonical_record":{"source":{"id":"1305.7486","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-05-31T16:52:33Z","cross_cats_sorted":[],"title_canon_sha256":"e108de2964d2023fa620f9ddcd14609130a414e076be7d9c548bfa787cf2f9cb","abstract_canon_sha256":"b68864fb8c0d22bed06a09f4736d79cabf9f4520500f7d4be403d71166205875"},"schema_version":"1.0"},"canonical_sha256":"2bc8790d5a1fab2ffabe14c2fc06ada547a3c1491869f82835c5f0036512f982","source":{"kind":"arxiv","id":"1305.7486","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.7486","created_at":"2026-05-18T01:49:39Z"},{"alias_kind":"arxiv_version","alias_value":"1305.7486v1","created_at":"2026-05-18T01:49:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.7486","created_at":"2026-05-18T01:49:39Z"},{"alias_kind":"pith_short_12","alias_value":"FPEHSDK2D6VS","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FPEHSDK2D6VS76V6","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FPEHSDK2","created_at":"2026-05-18T12:27:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:FPEHSDK2D6VS76V6CTBPYBVNUV","target":"record","payload":{"canonical_record":{"source":{"id":"1305.7486","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-05-31T16:52:33Z","cross_cats_sorted":[],"title_canon_sha256":"e108de2964d2023fa620f9ddcd14609130a414e076be7d9c548bfa787cf2f9cb","abstract_canon_sha256":"b68864fb8c0d22bed06a09f4736d79cabf9f4520500f7d4be403d71166205875"},"schema_version":"1.0"},"canonical_sha256":"2bc8790d5a1fab2ffabe14c2fc06ada547a3c1491869f82835c5f0036512f982","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:49:39.037852Z","signature_b64":"y7WGMAd95f1Rw9ubOFpdloR/m1FSmq2eyTgn+9W/uYwIenWWuQlJdhSJgBdcKOd4/2QwxBYFf3s9gwW1xYzZBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2bc8790d5a1fab2ffabe14c2fc06ada547a3c1491869f82835c5f0036512f982","last_reissued_at":"2026-05-18T01:49:39.037428Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:49:39.037428Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1305.7486","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":"2026-05-18T01:49:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OTw+oq7Od28tFCV2UaAMjvw3XGH2PXPXEKHk8shDbQO4WaWgU1zQJV9sZurSAic0lvup5qum3HDKCEPd17JxBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T20:59:25.105246Z"},"content_sha256":"5fdfdd98f3b37d107732046b901df6bdfa399df4361743b9c053719deb99f775","schema_version":"1.0","event_id":"sha256:5fdfdd98f3b37d107732046b901df6bdfa399df4361743b9c053719deb99f775"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:FPEHSDK2D6VS76V6CTBPYBVNUV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Hierarchical clustering in chameleon $f(R)$ gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Baojiu Li (Durham), Carlos S. Frenk (Druham), Shaun Cole (Durham), Wojciech A. Hellwing (Durham)","submitted_at":"2013-05-31T16:52:33Z","abstract_excerpt":"We use a suite of high resolution state-of-the-art N-body Dark Matter simulations of chameleon $f(R)$ gravity to study the higher order volume averaged correlation functions $\\bar{\\xi_n}$ together with the hierarchical $n$-th order correlation amplitudes $S_n=\\bar{\\xi}_n/\\bar{\\xi}_2^{n-1}$ and density distribution functions (PDF). We show that under the non-linear modifications of gravity the hierarchical scaling of the reduced cumulants is preserved. This is however characterised by significant changes of both the $\\bar{\\xi_n}$ and $S_n$'s values and their scale dependence with respect to Gen"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.7486","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":"2026-05-18T01:49:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s/ZkHbxa2h2NPcld/8UsFyENco7ls0Fq/+jZgoiCGttU3l/GR22cm778iqGjCQdunBAb7JkDPZgzdceiT9MyAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-24T20:59:25.105829Z"},"content_sha256":"8e2c2e3faca1ba14b6d3050d3c9afa017de0e8c6fb41461f77cfe0c437e08eb6","schema_version":"1.0","event_id":"sha256:8e2c2e3faca1ba14b6d3050d3c9afa017de0e8c6fb41461f77cfe0c437e08eb6"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FPEHSDK2D6VS76V6CTBPYBVNUV/bundle.json","state_url":"https://pith.science/pith/FPEHSDK2D6VS76V6CTBPYBVNUV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FPEHSDK2D6VS76V6CTBPYBVNUV/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":"2026-05-24T20:59:25Z","links":{"resolver":"https://pith.science/pith/FPEHSDK2D6VS76V6CTBPYBVNUV","bundle":"https://pith.science/pith/FPEHSDK2D6VS76V6CTBPYBVNUV/bundle.json","state":"https://pith.science/pith/FPEHSDK2D6VS76V6CTBPYBVNUV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FPEHSDK2D6VS76V6CTBPYBVNUV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:FPEHSDK2D6VS76V6CTBPYBVNUV","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":"b68864fb8c0d22bed06a09f4736d79cabf9f4520500f7d4be403d71166205875","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-05-31T16:52:33Z","title_canon_sha256":"e108de2964d2023fa620f9ddcd14609130a414e076be7d9c548bfa787cf2f9cb"},"schema_version":"1.0","source":{"id":"1305.7486","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1305.7486","created_at":"2026-05-18T01:49:39Z"},{"alias_kind":"arxiv_version","alias_value":"1305.7486v1","created_at":"2026-05-18T01:49:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1305.7486","created_at":"2026-05-18T01:49:39Z"},{"alias_kind":"pith_short_12","alias_value":"FPEHSDK2D6VS","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_16","alias_value":"FPEHSDK2D6VS76V6","created_at":"2026-05-18T12:27:45Z"},{"alias_kind":"pith_short_8","alias_value":"FPEHSDK2","created_at":"2026-05-18T12:27:45Z"}],"graph_snapshots":[{"event_id":"sha256:8e2c2e3faca1ba14b6d3050d3c9afa017de0e8c6fb41461f77cfe0c437e08eb6","target":"graph","created_at":"2026-05-18T01:49:39Z","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"},"paper":{"abstract_excerpt":"We use a suite of high resolution state-of-the-art N-body Dark Matter simulations of chameleon $f(R)$ gravity to study the higher order volume averaged correlation functions $\\bar{\\xi_n}$ together with the hierarchical $n$-th order correlation amplitudes $S_n=\\bar{\\xi}_n/\\bar{\\xi}_2^{n-1}$ and density distribution functions (PDF). We show that under the non-linear modifications of gravity the hierarchical scaling of the reduced cumulants is preserved. This is however characterised by significant changes of both the $\\bar{\\xi_n}$ and $S_n$'s values and their scale dependence with respect to Gen","authors_text":"Baojiu Li (Durham), Carlos S. Frenk (Druham), Shaun Cole (Durham), Wojciech A. Hellwing (Durham)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-05-31T16:52:33Z","title":"Hierarchical clustering in chameleon $f(R)$ gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1305.7486","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":"sha256:5fdfdd98f3b37d107732046b901df6bdfa399df4361743b9c053719deb99f775","target":"record","created_at":"2026-05-18T01:49:39Z","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":"b68864fb8c0d22bed06a09f4736d79cabf9f4520500f7d4be403d71166205875","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2013-05-31T16:52:33Z","title_canon_sha256":"e108de2964d2023fa620f9ddcd14609130a414e076be7d9c548bfa787cf2f9cb"},"schema_version":"1.0","source":{"id":"1305.7486","kind":"arxiv","version":1}},"canonical_sha256":"2bc8790d5a1fab2ffabe14c2fc06ada547a3c1491869f82835c5f0036512f982","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2bc8790d5a1fab2ffabe14c2fc06ada547a3c1491869f82835c5f0036512f982","first_computed_at":"2026-05-18T01:49:39.037428Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:49:39.037428Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"y7WGMAd95f1Rw9ubOFpdloR/m1FSmq2eyTgn+9W/uYwIenWWuQlJdhSJgBdcKOd4/2QwxBYFf3s9gwW1xYzZBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:49:39.037852Z","signed_message":"canonical_sha256_bytes"},"source_id":"1305.7486","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:5fdfdd98f3b37d107732046b901df6bdfa399df4361743b9c053719deb99f775","sha256:8e2c2e3faca1ba14b6d3050d3c9afa017de0e8c6fb41461f77cfe0c437e08eb6"],"state_sha256":"b760dd8d19b6a4abf5e79128c4d5971c916cadea12213c92f10fa8df442c7bfd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w8ZfXWS2EimgMUw02f8bJ9XsTdXAVx7L1Ku0BnuF67gVSK00tTUqP8Rwe2QxY5a/gsTeVa/+nOFCLnfFyef0DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-24T20:59:25.112076Z","bundle_sha256":"f7d69f1ac619bba1263f3d790035bbae0f00ad95d8ef87ce74bfc74cca1678f5"}}