{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:ZK52LHCORIPWOTY57GU5VF36SO","short_pith_number":"pith:ZK52LHCO","canonical_record":{"source":{"id":"1201.1347","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-01-06T03:58:44Z","cross_cats_sorted":["astro-ph.GA"],"title_canon_sha256":"6e5d0e51909a3c0100987787b706fff758a5194f021871164f79e7c1ff812a94","abstract_canon_sha256":"291ba552b68c0bac875b8b3bc7c0950f6b689fb67567daaea64039c2bbf442f8"},"schema_version":"1.0"},"canonical_sha256":"cabba59c4e8a1f674f1df9a9da977e93856c958c629f3e2086504f6af35b40ce","source":{"kind":"arxiv","id":"1201.1347","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.1347","created_at":"2026-05-18T02:21:25Z"},{"alias_kind":"arxiv_version","alias_value":"1201.1347v1","created_at":"2026-05-18T02:21:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.1347","created_at":"2026-05-18T02:21:25Z"},{"alias_kind":"pith_short_12","alias_value":"ZK52LHCORIPW","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZK52LHCORIPWOTY5","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZK52LHCO","created_at":"2026-05-18T12:27:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:ZK52LHCORIPWOTY57GU5VF36SO","target":"record","payload":{"canonical_record":{"source":{"id":"1201.1347","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-01-06T03:58:44Z","cross_cats_sorted":["astro-ph.GA"],"title_canon_sha256":"6e5d0e51909a3c0100987787b706fff758a5194f021871164f79e7c1ff812a94","abstract_canon_sha256":"291ba552b68c0bac875b8b3bc7c0950f6b689fb67567daaea64039c2bbf442f8"},"schema_version":"1.0"},"canonical_sha256":"cabba59c4e8a1f674f1df9a9da977e93856c958c629f3e2086504f6af35b40ce","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:21:25.727650Z","signature_b64":"mPyRYiVKpjBT4JrHkrEXlTLCzUhoWnflKsrd5TRoYNLawY0W1wWpgvT8TOwCb0YXs9fgnVd+FXRdmuDBWXJVDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"cabba59c4e8a1f674f1df9a9da977e93856c958c629f3e2086504f6af35b40ce","last_reissued_at":"2026-05-18T02:21:25.726887Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:21:25.726887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1201.1347","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":"2026-05-18T02:21:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Aon6pF4gUlnedpumEGDVHqsfBagYNP1TGovces2w1Od9W2gDx2eF25q6iVTKQIGtA/F6owB5QMD2YPCF4FcLAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T17:20:05.436337Z"},"content_sha256":"d9876e661d675115b2b81d97f8d001a84e8e9887c5942821d247a33b7d750c38","schema_version":"1.0","event_id":"sha256:d9876e661d675115b2b81d97f8d001a84e8e9887c5942821d247a33b7d750c38"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:ZK52LHCORIPWOTY57GU5VF36SO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Counting Dark Sub-halos with Star Stream Gaps","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.GA"],"primary_cat":"astro-ph.CO","authors_text":"Raymond G. Carlberg","submitted_at":"2012-01-06T03:58:44Z","abstract_excerpt":"The Cold Dark Matter paradigm predicts vast numbers of dark matter sub-halos to be orbiting in galactic halos. The sub-halos are detectable through the gaps they create gaps in stellar streams. The gap-rate is an integral over the density of sub-halos, their mass function, velocity distribution and the dynamical age of the stream. The rate of visible gap creation is a function of the width of the stream. The available data for four streams: the NW stream of M31, the Pal~5 stream, the Orphan Stream and the Eastern Banded Structure, are compared to the LCDM predicted relation. We find a remarkab"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.1347","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":"2026-05-18T02:21:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UBIHyXf3RFfqAP+37c2ba85x+I1HoNLfpr17la1q4z5PIeTVMJxKgSLpnpKC+BmMkwAgIdT1tz2TsO7Ug6G5AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T17:20:05.437060Z"},"content_sha256":"47b0ffc93fd3c338330c20efc3a2772066119d30029079ab94a54d063a28c407","schema_version":"1.0","event_id":"sha256:47b0ffc93fd3c338330c20efc3a2772066119d30029079ab94a54d063a28c407"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZK52LHCORIPWOTY57GU5VF36SO/bundle.json","state_url":"https://pith.science/pith/ZK52LHCORIPWOTY57GU5VF36SO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZK52LHCORIPWOTY57GU5VF36SO/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":"2026-06-07T17:20:05Z","links":{"resolver":"https://pith.science/pith/ZK52LHCORIPWOTY57GU5VF36SO","bundle":"https://pith.science/pith/ZK52LHCORIPWOTY57GU5VF36SO/bundle.json","state":"https://pith.science/pith/ZK52LHCORIPWOTY57GU5VF36SO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZK52LHCORIPWOTY57GU5VF36SO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:ZK52LHCORIPWOTY57GU5VF36SO","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":"291ba552b68c0bac875b8b3bc7c0950f6b689fb67567daaea64039c2bbf442f8","cross_cats_sorted":["astro-ph.GA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-01-06T03:58:44Z","title_canon_sha256":"6e5d0e51909a3c0100987787b706fff758a5194f021871164f79e7c1ff812a94"},"schema_version":"1.0","source":{"id":"1201.1347","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1201.1347","created_at":"2026-05-18T02:21:25Z"},{"alias_kind":"arxiv_version","alias_value":"1201.1347v1","created_at":"2026-05-18T02:21:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1201.1347","created_at":"2026-05-18T02:21:25Z"},{"alias_kind":"pith_short_12","alias_value":"ZK52LHCORIPW","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_16","alias_value":"ZK52LHCORIPWOTY5","created_at":"2026-05-18T12:27:30Z"},{"alias_kind":"pith_short_8","alias_value":"ZK52LHCO","created_at":"2026-05-18T12:27:30Z"}],"graph_snapshots":[{"event_id":"sha256:47b0ffc93fd3c338330c20efc3a2772066119d30029079ab94a54d063a28c407","target":"graph","created_at":"2026-05-18T02:21:25Z","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":"The Cold Dark Matter paradigm predicts vast numbers of dark matter sub-halos to be orbiting in galactic halos. The sub-halos are detectable through the gaps they create gaps in stellar streams. The gap-rate is an integral over the density of sub-halos, their mass function, velocity distribution and the dynamical age of the stream. The rate of visible gap creation is a function of the width of the stream. The available data for four streams: the NW stream of M31, the Pal~5 stream, the Orphan Stream and the Eastern Banded Structure, are compared to the LCDM predicted relation. We find a remarkab","authors_text":"Raymond G. Carlberg","cross_cats":["astro-ph.GA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-01-06T03:58:44Z","title":"Counting Dark Sub-halos with Star Stream Gaps"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1201.1347","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:d9876e661d675115b2b81d97f8d001a84e8e9887c5942821d247a33b7d750c38","target":"record","created_at":"2026-05-18T02:21:25Z","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":"291ba552b68c0bac875b8b3bc7c0950f6b689fb67567daaea64039c2bbf442f8","cross_cats_sorted":["astro-ph.GA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-01-06T03:58:44Z","title_canon_sha256":"6e5d0e51909a3c0100987787b706fff758a5194f021871164f79e7c1ff812a94"},"schema_version":"1.0","source":{"id":"1201.1347","kind":"arxiv","version":1}},"canonical_sha256":"cabba59c4e8a1f674f1df9a9da977e93856c958c629f3e2086504f6af35b40ce","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"cabba59c4e8a1f674f1df9a9da977e93856c958c629f3e2086504f6af35b40ce","first_computed_at":"2026-05-18T02:21:25.726887Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:21:25.726887Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mPyRYiVKpjBT4JrHkrEXlTLCzUhoWnflKsrd5TRoYNLawY0W1wWpgvT8TOwCb0YXs9fgnVd+FXRdmuDBWXJVDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:21:25.727650Z","signed_message":"canonical_sha256_bytes"},"source_id":"1201.1347","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d9876e661d675115b2b81d97f8d001a84e8e9887c5942821d247a33b7d750c38","sha256:47b0ffc93fd3c338330c20efc3a2772066119d30029079ab94a54d063a28c407"],"state_sha256":"e02a10a1bbd3843a84332ce0064e081e24e5939913a44adb792aef83cd7b66c2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OVSKoIJjqQdw+Tk24arfu8dI1ZA0yjktHgy4FcSfEoQM4dh1PpUUCkPQ2wLpvTMra5D3Cevw3wRrevOdj/kBDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T17:20:05.440835Z","bundle_sha256":"78a70b6a7fb57eb49a4db583eb447f77cbb6fb5ed5504dad19e5792e3e7d132c"}}