{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2017:7SRE6CV6V3XIPK4QG7XLD5SKUH","short_pith_number":"pith:7SRE6CV6","canonical_record":{"source":{"id":"1710.06443","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2017-10-17T18:00:19Z","cross_cats_sorted":[],"title_canon_sha256":"ee9197826c7dac22fbb106a48061539e9d204cbf09dbe49a682739b0b0058e73","abstract_canon_sha256":"3bbd0dfcb14124af14b199ae61cd3add4cd75600afbe2b9c75f5746f8477434d"},"schema_version":"1.0"},"canonical_sha256":"fca24f0abeaeee87ab9037eeb1f64aa1f5132d7b26c5c01ffbcc95f03485d1a9","source":{"kind":"arxiv","id":"1710.06443","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.06443","created_at":"2026-05-18T00:25:16Z"},{"alias_kind":"arxiv_version","alias_value":"1710.06443v2","created_at":"2026-05-18T00:25:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.06443","created_at":"2026-05-18T00:25:16Z"},{"alias_kind":"pith_short_12","alias_value":"7SRE6CV6V3XI","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"7SRE6CV6V3XIPK4Q","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"7SRE6CV6","created_at":"2026-05-18T12:31:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2017:7SRE6CV6V3XIPK4QG7XLD5SKUH","target":"record","payload":{"canonical_record":{"source":{"id":"1710.06443","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2017-10-17T18:00:19Z","cross_cats_sorted":[],"title_canon_sha256":"ee9197826c7dac22fbb106a48061539e9d204cbf09dbe49a682739b0b0058e73","abstract_canon_sha256":"3bbd0dfcb14124af14b199ae61cd3add4cd75600afbe2b9c75f5746f8477434d"},"schema_version":"1.0"},"canonical_sha256":"fca24f0abeaeee87ab9037eeb1f64aa1f5132d7b26c5c01ffbcc95f03485d1a9","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:25:16.719779Z","signature_b64":"Lc+gwh6lvvngf5DqRVYwZi3GkZA/6oGDPLsj/kaQj/zzc0rlMzCuAO5UYbgTJvhuGSMCWpO2IHH6FONMeXm3Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fca24f0abeaeee87ab9037eeb1f64aa1f5132d7b26c5c01ffbcc95f03485d1a9","last_reissued_at":"2026-05-18T00:25:16.718992Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:25:16.718992Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1710.06443","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:25:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l+DHN45KG+EG6Gfw71zdDDWvu/Bj9p0Qv1NUpYNSY+LmjO8vyqAPq+ryzJT1L53ESGrDIU1dVFsMLnxuXKvaBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T21:16:12.558615Z"},"content_sha256":"dbdfcd4fa8ae14047399766db1a9bf2740124b52fa64e7ac1ef9e6f56a265f85","schema_version":"1.0","event_id":"sha256:dbdfcd4fa8ae14047399766db1a9bf2740124b52fa64e7ac1ef9e6f56a265f85"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2017:7SRE6CV6V3XIPK4QG7XLD5SKUH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Fluctuations of the gravitational field generated by a random population of extended substructures","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.GA","authors_text":"Jorge Pe\\~narrubia","submitted_at":"2017-10-17T18:00:19Z","abstract_excerpt":"A large population of extended substructures generates a stochastic gravitational field that is fully specified by the function $p({\\bf F})$, which defines the probability that a tracer particle experiences a force $\\bf F$ within the interval ${\\bf F},{\\bf F}+ d\\bf F$. This paper presents a statistical technique for deriving the spectrum of random fluctuations directly from the number density of substructures with known mass and size functions. Application to the subhalo population found in cold dark matter simulations of Milky Way-sized haloes shows that, while the combined force distribution"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.06443","kind":"arxiv","version":2},"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":"2026-05-18T00:25:16Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FjFCmH1xjNzHYORXbz/kWnsaEY8O06PJzUNQekCuQqEX1uJ7FkmOUJs4RVqvDb1PkMG2MaxEWRlegu4wVzn5Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-03T21:16:12.558952Z"},"content_sha256":"12fc76aefe772c71bd0b57577ac5e8ccd209fe63678de97f8f40f63d842aba38","schema_version":"1.0","event_id":"sha256:12fc76aefe772c71bd0b57577ac5e8ccd209fe63678de97f8f40f63d842aba38"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7SRE6CV6V3XIPK4QG7XLD5SKUH/bundle.json","state_url":"https://pith.science/pith/7SRE6CV6V3XIPK4QG7XLD5SKUH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7SRE6CV6V3XIPK4QG7XLD5SKUH/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":"2026-08-03T21:16:12Z","links":{"resolver":"https://pith.science/pith/7SRE6CV6V3XIPK4QG7XLD5SKUH","bundle":"https://pith.science/pith/7SRE6CV6V3XIPK4QG7XLD5SKUH/bundle.json","state":"https://pith.science/pith/7SRE6CV6V3XIPK4QG7XLD5SKUH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7SRE6CV6V3XIPK4QG7XLD5SKUH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2017:7SRE6CV6V3XIPK4QG7XLD5SKUH","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":"3bbd0dfcb14124af14b199ae61cd3add4cd75600afbe2b9c75f5746f8477434d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2017-10-17T18:00:19Z","title_canon_sha256":"ee9197826c7dac22fbb106a48061539e9d204cbf09dbe49a682739b0b0058e73"},"schema_version":"1.0","source":{"id":"1710.06443","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1710.06443","created_at":"2026-05-18T00:25:16Z"},{"alias_kind":"arxiv_version","alias_value":"1710.06443v2","created_at":"2026-05-18T00:25:16Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1710.06443","created_at":"2026-05-18T00:25:16Z"},{"alias_kind":"pith_short_12","alias_value":"7SRE6CV6V3XI","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_16","alias_value":"7SRE6CV6V3XIPK4Q","created_at":"2026-05-18T12:31:05Z"},{"alias_kind":"pith_short_8","alias_value":"7SRE6CV6","created_at":"2026-05-18T12:31:05Z"}],"graph_snapshots":[{"event_id":"sha256:12fc76aefe772c71bd0b57577ac5e8ccd209fe63678de97f8f40f63d842aba38","target":"graph","created_at":"2026-05-18T00:25:16Z","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":"A large population of extended substructures generates a stochastic gravitational field that is fully specified by the function $p({\\bf F})$, which defines the probability that a tracer particle experiences a force $\\bf F$ within the interval ${\\bf F},{\\bf F}+ d\\bf F$. This paper presents a statistical technique for deriving the spectrum of random fluctuations directly from the number density of substructures with known mass and size functions. Application to the subhalo population found in cold dark matter simulations of Milky Way-sized haloes shows that, while the combined force distribution","authors_text":"Jorge Pe\\~narrubia","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2017-10-17T18:00:19Z","title":"Fluctuations of the gravitational field generated by a random population of extended substructures"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1710.06443","kind":"arxiv","version":2},"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:dbdfcd4fa8ae14047399766db1a9bf2740124b52fa64e7ac1ef9e6f56a265f85","target":"record","created_at":"2026-05-18T00:25:16Z","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":"3bbd0dfcb14124af14b199ae61cd3add4cd75600afbe2b9c75f5746f8477434d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2017-10-17T18:00:19Z","title_canon_sha256":"ee9197826c7dac22fbb106a48061539e9d204cbf09dbe49a682739b0b0058e73"},"schema_version":"1.0","source":{"id":"1710.06443","kind":"arxiv","version":2}},"canonical_sha256":"fca24f0abeaeee87ab9037eeb1f64aa1f5132d7b26c5c01ffbcc95f03485d1a9","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fca24f0abeaeee87ab9037eeb1f64aa1f5132d7b26c5c01ffbcc95f03485d1a9","first_computed_at":"2026-05-18T00:25:16.718992Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:25:16.718992Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Lc+gwh6lvvngf5DqRVYwZi3GkZA/6oGDPLsj/kaQj/zzc0rlMzCuAO5UYbgTJvhuGSMCWpO2IHH6FONMeXm3Dw==","signature_status":"signed_v1","signed_at":"2026-05-18T00:25:16.719779Z","signed_message":"canonical_sha256_bytes"},"source_id":"1710.06443","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dbdfcd4fa8ae14047399766db1a9bf2740124b52fa64e7ac1ef9e6f56a265f85","sha256:12fc76aefe772c71bd0b57577ac5e8ccd209fe63678de97f8f40f63d842aba38"],"state_sha256":"5275f6ebdd2bf804add0851fcd757b412ed884775ddb43e9e9f999b799aef973"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MUeSOeNKZN886fN3y5z/oYDUU8wS00UC4wGt84mq47zU+POH/Rr/Xu2tZsaF+zImO1LzKWwiUgTlTE7iM0znCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-03T21:16:12.561066Z","bundle_sha256":"2fb93f421e0cf70e2486a570461f71d8754aca9d84840f38a92048b146ba5047"}}