{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:WAXC6ZGGZN4LXNGXM54DOLXVZF","short_pith_number":"pith:WAXC6ZGG","canonical_record":{"source":{"id":"1209.4434","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-09-20T05:45:47Z","cross_cats_sorted":[],"title_canon_sha256":"afde3e08ceb67937dab00c75b149866eb2ec9587a751104b97a3feb8459fab11","abstract_canon_sha256":"0effde06c7a29d3bd331d5c517b401e014b356d519d5183be70c3e4cf9a907bc"},"schema_version":"1.0"},"canonical_sha256":"b02e2f64c6cb78bbb4d76778372ef5c96f631a065df0bd04deedc705deb03aa0","source":{"kind":"arxiv","id":"1209.4434","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.4434","created_at":"2026-05-18T03:45:11Z"},{"alias_kind":"arxiv_version","alias_value":"1209.4434v1","created_at":"2026-05-18T03:45:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.4434","created_at":"2026-05-18T03:45:11Z"},{"alias_kind":"pith_short_12","alias_value":"WAXC6ZGGZN4L","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"WAXC6ZGGZN4LXNGX","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"WAXC6ZGG","created_at":"2026-05-18T12:27:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:WAXC6ZGGZN4LXNGXM54DOLXVZF","target":"record","payload":{"canonical_record":{"source":{"id":"1209.4434","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-09-20T05:45:47Z","cross_cats_sorted":[],"title_canon_sha256":"afde3e08ceb67937dab00c75b149866eb2ec9587a751104b97a3feb8459fab11","abstract_canon_sha256":"0effde06c7a29d3bd331d5c517b401e014b356d519d5183be70c3e4cf9a907bc"},"schema_version":"1.0"},"canonical_sha256":"b02e2f64c6cb78bbb4d76778372ef5c96f631a065df0bd04deedc705deb03aa0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:45:11.741121Z","signature_b64":"OpLozje32OAz3yYgiuQzgWNIrnvcYK+I1MWhtrI5SzNV8i5N9x8wYNKdUGu73wP7YYPwYwtm5A3gqIZrAQ95BA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b02e2f64c6cb78bbb4d76778372ef5c96f631a065df0bd04deedc705deb03aa0","last_reissued_at":"2026-05-18T03:45:11.740419Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:45:11.740419Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1209.4434","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":"2026-05-18T03:45:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rSeCjFYK9+RqudFtMIvYBpLNbZM7wa//dOZfem8qRL9J67UFG9ypqJseX83Bp4D1ikfE9o4QuMo+dbcWMjCsCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T03:39:07.773915Z"},"content_sha256":"9b79af421e426e1edfb9ee1346ee3783411985f2252fcdd3a14c96e3d9d66508","schema_version":"1.0","event_id":"sha256:9b79af421e426e1edfb9ee1346ee3783411985f2252fcdd3a14c96e3d9d66508"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:WAXC6ZGGZN4LXNGXM54DOLXVZF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Three-Dimensional Filamentation Analysis of SDSS DR5 Survey","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.CO","authors_text":"Andre Khalil, David J. Batuski, Yongfeng Wu","submitted_at":"2012-09-20T05:45:47Z","abstract_excerpt":"We introduce a new method to calculate the multi-scale 3D filamentation of SDSS DR5 galaxy clusters and also applied it to N-body simulations. We compared the filamentation of the observed vs. mock samples in metric space on scales from 8 Mpc to 30 Mpc. Mock samples are closer to the observed sample than random samples, and one of the mock samples behaves better than another one. We also find that the observed sample has a large filamentation value at a scale of 10 Mpc, which is not found from either mock samples or random samples. Key words: filamentation, metric space, galaxy clusters, SDSS "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.4434","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":"2026-05-18T03:45:11Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KBShGl3ufWYns3qDViGsJuL+3zUFxvH4hFAsGGGB/FP8lWAhLsTW8xPwM89g9RZDz+8JVwJYPVVhrtLq1zVmAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T03:39:07.774278Z"},"content_sha256":"c972de935a09688e082a906d28693cb09753043169b49e1b117263945f90161d","schema_version":"1.0","event_id":"sha256:c972de935a09688e082a906d28693cb09753043169b49e1b117263945f90161d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WAXC6ZGGZN4LXNGXM54DOLXVZF/bundle.json","state_url":"https://pith.science/pith/WAXC6ZGGZN4LXNGXM54DOLXVZF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WAXC6ZGGZN4LXNGXM54DOLXVZF/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":"2026-06-26T03:39:07Z","links":{"resolver":"https://pith.science/pith/WAXC6ZGGZN4LXNGXM54DOLXVZF","bundle":"https://pith.science/pith/WAXC6ZGGZN4LXNGXM54DOLXVZF/bundle.json","state":"https://pith.science/pith/WAXC6ZGGZN4LXNGXM54DOLXVZF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WAXC6ZGGZN4LXNGXM54DOLXVZF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:WAXC6ZGGZN4LXNGXM54DOLXVZF","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":"0effde06c7a29d3bd331d5c517b401e014b356d519d5183be70c3e4cf9a907bc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-09-20T05:45:47Z","title_canon_sha256":"afde3e08ceb67937dab00c75b149866eb2ec9587a751104b97a3feb8459fab11"},"schema_version":"1.0","source":{"id":"1209.4434","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1209.4434","created_at":"2026-05-18T03:45:11Z"},{"alias_kind":"arxiv_version","alias_value":"1209.4434v1","created_at":"2026-05-18T03:45:11Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1209.4434","created_at":"2026-05-18T03:45:11Z"},{"alias_kind":"pith_short_12","alias_value":"WAXC6ZGGZN4L","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_16","alias_value":"WAXC6ZGGZN4LXNGX","created_at":"2026-05-18T12:27:25Z"},{"alias_kind":"pith_short_8","alias_value":"WAXC6ZGG","created_at":"2026-05-18T12:27:25Z"}],"graph_snapshots":[{"event_id":"sha256:c972de935a09688e082a906d28693cb09753043169b49e1b117263945f90161d","target":"graph","created_at":"2026-05-18T03:45:11Z","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 introduce a new method to calculate the multi-scale 3D filamentation of SDSS DR5 galaxy clusters and also applied it to N-body simulations. We compared the filamentation of the observed vs. mock samples in metric space on scales from 8 Mpc to 30 Mpc. Mock samples are closer to the observed sample than random samples, and one of the mock samples behaves better than another one. We also find that the observed sample has a large filamentation value at a scale of 10 Mpc, which is not found from either mock samples or random samples. Key words: filamentation, metric space, galaxy clusters, SDSS ","authors_text":"Andre Khalil, David J. Batuski, Yongfeng Wu","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-09-20T05:45:47Z","title":"Three-Dimensional Filamentation Analysis of SDSS DR5 Survey"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1209.4434","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":"sha256:9b79af421e426e1edfb9ee1346ee3783411985f2252fcdd3a14c96e3d9d66508","target":"record","created_at":"2026-05-18T03:45:11Z","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":"0effde06c7a29d3bd331d5c517b401e014b356d519d5183be70c3e4cf9a907bc","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2012-09-20T05:45:47Z","title_canon_sha256":"afde3e08ceb67937dab00c75b149866eb2ec9587a751104b97a3feb8459fab11"},"schema_version":"1.0","source":{"id":"1209.4434","kind":"arxiv","version":1}},"canonical_sha256":"b02e2f64c6cb78bbb4d76778372ef5c96f631a065df0bd04deedc705deb03aa0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b02e2f64c6cb78bbb4d76778372ef5c96f631a065df0bd04deedc705deb03aa0","first_computed_at":"2026-05-18T03:45:11.740419Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:45:11.740419Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OpLozje32OAz3yYgiuQzgWNIrnvcYK+I1MWhtrI5SzNV8i5N9x8wYNKdUGu73wP7YYPwYwtm5A3gqIZrAQ95BA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:45:11.741121Z","signed_message":"canonical_sha256_bytes"},"source_id":"1209.4434","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9b79af421e426e1edfb9ee1346ee3783411985f2252fcdd3a14c96e3d9d66508","sha256:c972de935a09688e082a906d28693cb09753043169b49e1b117263945f90161d"],"state_sha256":"40538fb12bd8a18411fc6def45643fe0e875ed03b51ae48bd2359efe58ab5fbf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AvHJazdJQ5OYgA+eN/Wk8tz3J3gcgb+ihGtQIMDRq12XgEugeoefSoJ/ZrgnU/CSGHOzDjbJ9upRoV1KWn6oCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T03:39:07.776300Z","bundle_sha256":"8f4fa9d0408f996b6396f1fc4147f6ff835e916d3491b130ad4a2ba639afb1b7"}}