{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2018:QVPUMJJ4BGJG5KE3JKDF3JCKTJ","short_pith_number":"pith:QVPUMJJ4","canonical_record":{"source":{"id":"1809.07326","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-09-19T18:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"a4278c96418c54cc8129c158dbe9245cef07a6b99e238964d555a73221c47cad","abstract_canon_sha256":"0e6ac1af649851902703696b14613115282b5b5cfec9f7e0108d0d1431dd6550"},"schema_version":"1.0"},"canonical_sha256":"855f46253c09926ea89b4a865da44a9a71fee9839b735e10822f2ccef207b88f","source":{"kind":"arxiv","id":"1809.07326","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.07326","created_at":"2026-05-17T23:55:07Z"},{"alias_kind":"arxiv_version","alias_value":"1809.07326v2","created_at":"2026-05-17T23:55:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.07326","created_at":"2026-05-17T23:55:07Z"},{"alias_kind":"pith_short_12","alias_value":"QVPUMJJ4BGJG","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QVPUMJJ4BGJG5KE3","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QVPUMJJ4","created_at":"2026-05-18T12:32:46Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2018:QVPUMJJ4BGJG5KE3JKDF3JCKTJ","target":"record","payload":{"canonical_record":{"source":{"id":"1809.07326","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-09-19T18:00:00Z","cross_cats_sorted":[],"title_canon_sha256":"a4278c96418c54cc8129c158dbe9245cef07a6b99e238964d555a73221c47cad","abstract_canon_sha256":"0e6ac1af649851902703696b14613115282b5b5cfec9f7e0108d0d1431dd6550"},"schema_version":"1.0"},"canonical_sha256":"855f46253c09926ea89b4a865da44a9a71fee9839b735e10822f2ccef207b88f","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:55:07.389672Z","signature_b64":"OmtK7YlaWBtlNuR5RXR/imiKi0+IS+jxDQ9PeErgyDIzv3v/MK1pxngQxwUoYf7hAqM/FQTD6FM4U99qSsf4Dw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"855f46253c09926ea89b4a865da44a9a71fee9839b735e10822f2ccef207b88f","last_reissued_at":"2026-05-17T23:55:07.389140Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:55:07.389140Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1809.07326","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":"2026-05-17T23:55:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CeMIAuhdpnApobwvT4c4akDObat/2qyPbY2jyT6qqKR8n8fYgT4D4AIBFu6aMlqEjAhs+SXOYWAEgAetnpteCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T12:01:52.599942Z"},"content_sha256":"bda627c5a0ccbadc6816f9d705ba4808dd48defa4c362a49983bef78a67d6fc1","schema_version":"1.0","event_id":"sha256:bda627c5a0ccbadc6816f9d705ba4808dd48defa4c362a49983bef78a67d6fc1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2018:QVPUMJJ4BGJG5KE3JKDF3JCKTJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An accurate physical model for halo concentrations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Benedikt Diemer, Michael Joyce","submitted_at":"2018-09-19T18:00:00Z","abstract_excerpt":"The relation between halo mass, M, and concentration, c, is a critical component in our understanding of the structure of dark matter halos. While numerous models for this relation have been proposed, almost none of them attempt to derive the evolution of the relation analytically. We build on previous efforts to model the c-M relation as a function of physical parameters such as the peak height, $\\nu$, and the effective power spectrum slope, $n_{\\rm eff}$, which capture the dependence of $c$ on halo mass, redshift, and cosmology. We present three major improvements over previous models. First"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.07326","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":"2026-05-17T23:55:07Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"EPJ1zDAi8XMsrAQaqlaceSmVOpC9WVM6b/60BxdYBb12Ju6TX8iZV6SFtpceKqvAT9qIcjVf5/TICWhZ1gmzDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T12:01:52.600658Z"},"content_sha256":"ab1aca74d916a1bea93e68c4619f61be05e806d20566b18126bd38ca0b2065ec","schema_version":"1.0","event_id":"sha256:ab1aca74d916a1bea93e68c4619f61be05e806d20566b18126bd38ca0b2065ec"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QVPUMJJ4BGJG5KE3JKDF3JCKTJ/bundle.json","state_url":"https://pith.science/pith/QVPUMJJ4BGJG5KE3JKDF3JCKTJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QVPUMJJ4BGJG5KE3JKDF3JCKTJ/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":"2026-06-10T12:01:52Z","links":{"resolver":"https://pith.science/pith/QVPUMJJ4BGJG5KE3JKDF3JCKTJ","bundle":"https://pith.science/pith/QVPUMJJ4BGJG5KE3JKDF3JCKTJ/bundle.json","state":"https://pith.science/pith/QVPUMJJ4BGJG5KE3JKDF3JCKTJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QVPUMJJ4BGJG5KE3JKDF3JCKTJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:QVPUMJJ4BGJG5KE3JKDF3JCKTJ","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":"0e6ac1af649851902703696b14613115282b5b5cfec9f7e0108d0d1431dd6550","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-09-19T18:00:00Z","title_canon_sha256":"a4278c96418c54cc8129c158dbe9245cef07a6b99e238964d555a73221c47cad"},"schema_version":"1.0","source":{"id":"1809.07326","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1809.07326","created_at":"2026-05-17T23:55:07Z"},{"alias_kind":"arxiv_version","alias_value":"1809.07326v2","created_at":"2026-05-17T23:55:07Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1809.07326","created_at":"2026-05-17T23:55:07Z"},{"alias_kind":"pith_short_12","alias_value":"QVPUMJJ4BGJG","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_16","alias_value":"QVPUMJJ4BGJG5KE3","created_at":"2026-05-18T12:32:46Z"},{"alias_kind":"pith_short_8","alias_value":"QVPUMJJ4","created_at":"2026-05-18T12:32:46Z"}],"graph_snapshots":[{"event_id":"sha256:ab1aca74d916a1bea93e68c4619f61be05e806d20566b18126bd38ca0b2065ec","target":"graph","created_at":"2026-05-17T23:55:07Z","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 relation between halo mass, M, and concentration, c, is a critical component in our understanding of the structure of dark matter halos. While numerous models for this relation have been proposed, almost none of them attempt to derive the evolution of the relation analytically. We build on previous efforts to model the c-M relation as a function of physical parameters such as the peak height, $\\nu$, and the effective power spectrum slope, $n_{\\rm eff}$, which capture the dependence of $c$ on halo mass, redshift, and cosmology. We present three major improvements over previous models. First","authors_text":"Benedikt Diemer, Michael Joyce","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-09-19T18:00:00Z","title":"An accurate physical model for halo concentrations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1809.07326","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:bda627c5a0ccbadc6816f9d705ba4808dd48defa4c362a49983bef78a67d6fc1","target":"record","created_at":"2026-05-17T23:55:07Z","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":"0e6ac1af649851902703696b14613115282b5b5cfec9f7e0108d0d1431dd6550","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2018-09-19T18:00:00Z","title_canon_sha256":"a4278c96418c54cc8129c158dbe9245cef07a6b99e238964d555a73221c47cad"},"schema_version":"1.0","source":{"id":"1809.07326","kind":"arxiv","version":2}},"canonical_sha256":"855f46253c09926ea89b4a865da44a9a71fee9839b735e10822f2ccef207b88f","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"855f46253c09926ea89b4a865da44a9a71fee9839b735e10822f2ccef207b88f","first_computed_at":"2026-05-17T23:55:07.389140Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:55:07.389140Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OmtK7YlaWBtlNuR5RXR/imiKi0+IS+jxDQ9PeErgyDIzv3v/MK1pxngQxwUoYf7hAqM/FQTD6FM4U99qSsf4Dw==","signature_status":"signed_v1","signed_at":"2026-05-17T23:55:07.389672Z","signed_message":"canonical_sha256_bytes"},"source_id":"1809.07326","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:bda627c5a0ccbadc6816f9d705ba4808dd48defa4c362a49983bef78a67d6fc1","sha256:ab1aca74d916a1bea93e68c4619f61be05e806d20566b18126bd38ca0b2065ec"],"state_sha256":"c4d3ba331a0ba05e0dd0770db741941d8501fa143cecc912ee1856ece59d9459"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s+tqBqUOiPnRySlZz5ztuMoYaKUkk4yqXUhxfcGOinHbaYIdf5Zh6Hi0Z0Zliz3OGlZP6jh4qIwT4ycHDagmAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T12:01:52.604805Z","bundle_sha256":"323890cdb848183637ad96559c1b5e31c9ab916f3ca1c334ce8e01986358a0dd"}}