{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:XM7SO7WTQ7SM32FM2DZAV6JJWS","short_pith_number":"pith:XM7SO7WT","canonical_record":{"source":{"id":"astro-ph/0009262","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2000-09-16T21:04:19Z","cross_cats_sorted":[],"title_canon_sha256":"3e9302f14f6dd9e4b22ae818dec173afcbff3d36dea0c145cccd22f79da478b6","abstract_canon_sha256":"5913e5855251e222f41923b34a8b7b5213a39eb36fb9063c7ed4747a2e337d59"},"schema_version":"1.0"},"canonical_sha256":"bb3f277ed387e4cde8acd0f20af929b49ca123c8ef1dc5cfce24f16438dfc619","source":{"kind":"arxiv","id":"astro-ph/0009262","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0009262","created_at":"2026-07-04T16:17:10Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0009262v1","created_at":"2026-07-04T16:17:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0009262","created_at":"2026-07-04T16:17:10Z"},{"alias_kind":"pith_short_12","alias_value":"XM7SO7WTQ7SM","created_at":"2026-07-04T16:17:10Z"},{"alias_kind":"pith_short_16","alias_value":"XM7SO7WTQ7SM32FM","created_at":"2026-07-04T16:17:10Z"},{"alias_kind":"pith_short_8","alias_value":"XM7SO7WT","created_at":"2026-07-04T16:17:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:XM7SO7WTQ7SM32FM2DZAV6JJWS","target":"record","payload":{"canonical_record":{"source":{"id":"astro-ph/0009262","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"astro-ph","submitted_at":"2000-09-16T21:04:19Z","cross_cats_sorted":[],"title_canon_sha256":"3e9302f14f6dd9e4b22ae818dec173afcbff3d36dea0c145cccd22f79da478b6","abstract_canon_sha256":"5913e5855251e222f41923b34a8b7b5213a39eb36fb9063c7ed4747a2e337d59"},"schema_version":"1.0"},"canonical_sha256":"bb3f277ed387e4cde8acd0f20af929b49ca123c8ef1dc5cfce24f16438dfc619","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:17:10.132495Z","signature_b64":"mgKZOVTTHSifFPiLEyP9OLpPws357U7tenSN8xMuj7iTncht2DamtdIf7gJxCgHTQSybjLqJgCrSw53s/GnlAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bb3f277ed387e4cde8acd0f20af929b49ca123c8ef1dc5cfce24f16438dfc619","last_reissued_at":"2026-07-04T16:17:10.132162Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:17:10.132162Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"astro-ph/0009262","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":"2026-07-04T16:17:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8NZEjv6tK+36Je3nUNP7oA5r6iTcJZo7ohtlyfMlC4MwucAZCLV15qpwliKNLivo00dJuqA+ktgdxKcvIvBqDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T00:25:41.078076Z"},"content_sha256":"2d9936780b0632ba40eac722f37ad07c97c3d297c968f89af523bacf1f3ba340","schema_version":"1.0","event_id":"sha256:2d9936780b0632ba40eac722f37ad07c97c3d297c968f89af523bacf1f3ba340"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:XM7SO7WTQ7SM32FM2DZAV6JJWS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the Timescale for the Formation of Protostellar Cores in Magnetic Interstellar Clouds","license":"","headline":"","cross_cats":[],"primary_cat":"astro-ph","authors_text":"Glenn E. Ciolek (Rensselaer Polytechnic Inst.), Shantanu Basu (U. of Western Ontario)","submitted_at":"2000-09-16T21:04:19Z","abstract_excerpt":"We revisit the problem of the formation of dense protostellar cores due to ambipolar diffusion within magnetically supported molecular clouds, and derive an analytical expression for the core formation timescale. The resulting expression is similar to the canonical expression = t_{ff}^2/t_{ni} ~ 10 t_{ni} (where t_{ff} is the free-fall time and t_{ni} is the neutral-ion collision time), except that it is multiplied by a numerical factor C(\\mu_{c0}), where \\mu_{c0} is the initial central mass-to-flux ratio normalized to the critical value for gravitational collapse. C(\\mu_{c0}) is typically ~ 1"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0009262","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/astro-ph/0009262/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-04T16:17:10Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BQcfCjut9KkF9SLjDCmySw3nDUUuR7+WKACOa+vyn1Q0BlkpYOLv/R+HvVRIEB35OkYX15fExHHo6cMktiIJDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T00:25:41.079064Z"},"content_sha256":"a16a7171f9388e808c485aa3823a04503a2884c06052a18570f6b7b636126d7d","schema_version":"1.0","event_id":"sha256:a16a7171f9388e808c485aa3823a04503a2884c06052a18570f6b7b636126d7d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XM7SO7WTQ7SM32FM2DZAV6JJWS/bundle.json","state_url":"https://pith.science/pith/XM7SO7WTQ7SM32FM2DZAV6JJWS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XM7SO7WTQ7SM32FM2DZAV6JJWS/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":"2026-08-04T00:25:41Z","links":{"resolver":"https://pith.science/pith/XM7SO7WTQ7SM32FM2DZAV6JJWS","bundle":"https://pith.science/pith/XM7SO7WTQ7SM32FM2DZAV6JJWS/bundle.json","state":"https://pith.science/pith/XM7SO7WTQ7SM32FM2DZAV6JJWS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XM7SO7WTQ7SM32FM2DZAV6JJWS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:XM7SO7WTQ7SM32FM2DZAV6JJWS","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":"5913e5855251e222f41923b34a8b7b5213a39eb36fb9063c7ed4747a2e337d59","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2000-09-16T21:04:19Z","title_canon_sha256":"3e9302f14f6dd9e4b22ae818dec173afcbff3d36dea0c145cccd22f79da478b6"},"schema_version":"1.0","source":{"id":"astro-ph/0009262","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"astro-ph/0009262","created_at":"2026-07-04T16:17:10Z"},{"alias_kind":"arxiv_version","alias_value":"astro-ph/0009262v1","created_at":"2026-07-04T16:17:10Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.astro-ph/0009262","created_at":"2026-07-04T16:17:10Z"},{"alias_kind":"pith_short_12","alias_value":"XM7SO7WTQ7SM","created_at":"2026-07-04T16:17:10Z"},{"alias_kind":"pith_short_16","alias_value":"XM7SO7WTQ7SM32FM","created_at":"2026-07-04T16:17:10Z"},{"alias_kind":"pith_short_8","alias_value":"XM7SO7WT","created_at":"2026-07-04T16:17:10Z"}],"graph_snapshots":[{"event_id":"sha256:a16a7171f9388e808c485aa3823a04503a2884c06052a18570f6b7b636126d7d","target":"graph","created_at":"2026-07-04T16:17:10Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/astro-ph/0009262/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We revisit the problem of the formation of dense protostellar cores due to ambipolar diffusion within magnetically supported molecular clouds, and derive an analytical expression for the core formation timescale. The resulting expression is similar to the canonical expression = t_{ff}^2/t_{ni} ~ 10 t_{ni} (where t_{ff} is the free-fall time and t_{ni} is the neutral-ion collision time), except that it is multiplied by a numerical factor C(\\mu_{c0}), where \\mu_{c0} is the initial central mass-to-flux ratio normalized to the critical value for gravitational collapse. C(\\mu_{c0}) is typically ~ 1","authors_text":"Glenn E. Ciolek (Rensselaer Polytechnic Inst.), Shantanu Basu (U. of Western Ontario)","cross_cats":[],"headline":"","license":"","primary_cat":"astro-ph","submitted_at":"2000-09-16T21:04:19Z","title":"On the Timescale for the Formation of Protostellar Cores in Magnetic Interstellar Clouds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"astro-ph/0009262","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":"sha256:2d9936780b0632ba40eac722f37ad07c97c3d297c968f89af523bacf1f3ba340","target":"record","created_at":"2026-07-04T16:17:10Z","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":"5913e5855251e222f41923b34a8b7b5213a39eb36fb9063c7ed4747a2e337d59","cross_cats_sorted":[],"license":"","primary_cat":"astro-ph","submitted_at":"2000-09-16T21:04:19Z","title_canon_sha256":"3e9302f14f6dd9e4b22ae818dec173afcbff3d36dea0c145cccd22f79da478b6"},"schema_version":"1.0","source":{"id":"astro-ph/0009262","kind":"arxiv","version":1}},"canonical_sha256":"bb3f277ed387e4cde8acd0f20af929b49ca123c8ef1dc5cfce24f16438dfc619","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bb3f277ed387e4cde8acd0f20af929b49ca123c8ef1dc5cfce24f16438dfc619","first_computed_at":"2026-07-04T16:17:10.132162Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:17:10.132162Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mgKZOVTTHSifFPiLEyP9OLpPws357U7tenSN8xMuj7iTncht2DamtdIf7gJxCgHTQSybjLqJgCrSw53s/GnlAA==","signature_status":"signed_v1","signed_at":"2026-07-04T16:17:10.132495Z","signed_message":"canonical_sha256_bytes"},"source_id":"astro-ph/0009262","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2d9936780b0632ba40eac722f37ad07c97c3d297c968f89af523bacf1f3ba340","sha256:a16a7171f9388e808c485aa3823a04503a2884c06052a18570f6b7b636126d7d"],"state_sha256":"9ba767e3603ab1c88a6faa8bcf7cd05532a8d6decb04f8add4305f848c963fd1"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QDUfWN1eAzMKv9kpmYM08cjX1QvFjYll87iuucdDStqcmSqD/+nNwYFWDhzqf9lIZjBxv5LDr50Y+e/Gq1RLDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T00:25:41.087814Z","bundle_sha256":"baff4ccc550fad2cf4aab7498b1553bdd96a7b26f888746b9a2d79cdbb71d6c0"}}