{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:44X5MZFWQOSB4C7WOMZY6CYUPX","short_pith_number":"pith:44X5MZFW","canonical_record":{"source":{"id":"1603.07983","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2016-03-25T18:51:38Z","cross_cats_sorted":[],"title_canon_sha256":"2ac5d00d0e66ffd29824247015b047bec358f4e293aa6828ee7a5da2f9229f2b","abstract_canon_sha256":"e2a9d0578a5ae6fae54b70954e48d89e71ea69a335668450ce4068cf0ac35850"},"schema_version":"1.0"},"canonical_sha256":"e72fd664b683a41e0bf673338f0b147df05f0702ad018dd3d2cc608eeb8c15a7","source":{"kind":"arxiv","id":"1603.07983","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.07983","created_at":"2026-05-18T01:12:43Z"},{"alias_kind":"arxiv_version","alias_value":"1603.07983v1","created_at":"2026-05-18T01:12:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.07983","created_at":"2026-05-18T01:12:43Z"},{"alias_kind":"pith_short_12","alias_value":"44X5MZFWQOSB","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"44X5MZFWQOSB4C7W","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"44X5MZFW","created_at":"2026-05-18T12:29:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:44X5MZFWQOSB4C7WOMZY6CYUPX","target":"record","payload":{"canonical_record":{"source":{"id":"1603.07983","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2016-03-25T18:51:38Z","cross_cats_sorted":[],"title_canon_sha256":"2ac5d00d0e66ffd29824247015b047bec358f4e293aa6828ee7a5da2f9229f2b","abstract_canon_sha256":"e2a9d0578a5ae6fae54b70954e48d89e71ea69a335668450ce4068cf0ac35850"},"schema_version":"1.0"},"canonical_sha256":"e72fd664b683a41e0bf673338f0b147df05f0702ad018dd3d2cc608eeb8c15a7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:12:43.848016Z","signature_b64":"3Up7A/Gb/3/9+K9t1YtrYpjvdiv944I/Dw4ebM5oNKbwXTWqyMtRGnI8xDCR8U1kg8kxAjY9ZzSEz1qVN0UNDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e72fd664b683a41e0bf673338f0b147df05f0702ad018dd3d2cc608eeb8c15a7","last_reissued_at":"2026-05-18T01:12:43.847669Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:12:43.847669Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.07983","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":"2026-05-18T01:12:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GOrAU7no9hxlD15Or3Tc7J0xUqeLn6Nr2xE3MyVkGyTQEuAxvCkLzXgFeou4rGObp69kyjdefAaPL+Hir+SWCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T07:27:46.099180Z"},"content_sha256":"3657a271e7fe63487e605cbea34d4d7d07424113d062807cf283451a74214ed2","schema_version":"1.0","event_id":"sha256:3657a271e7fe63487e605cbea34d4d7d07424113d062807cf283451a74214ed2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:44X5MZFWQOSB4C7WOMZY6CYUPX","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Formation of proto-cluster: a virialized structure from gravo-turbulent collapse II. A two-dimensional analytical model for rotating and accreting system","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.SR","authors_text":"Patrick Hennebelle, Yueh-Ning Lee","submitted_at":"2016-03-25T18:51:38Z","abstract_excerpt":"Most stars are born in the gaseous proto-cluster environment. The knowledge of this intermediate stage gives more accurate constraints on star formation characteristics. We demonstrate that a virialized globally supported structure, in which star formation happens, is formed out of a collapsing molecular cloud, and derive a mapping from the parent cloud parameters to the proto-cluster to predict its properties, with a view to confront analytical calculations with observations and simulations. The virial theorem is decomposed into two dimensions to account for the rotation and the flattened geo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.07983","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":"2026-05-18T01:12:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DLCsKqBv6A/eWGhG4GtHhygMNpGZFHltGbJfUhMTRK9hhEjXvEYtjz5oamK2vMLAl5l2kF9Vsk16Sdhd7/AyAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T07:27:46.099761Z"},"content_sha256":"d0315d46a2166dee015915b3328b74584bf49190a427f644914225f864e146a1","schema_version":"1.0","event_id":"sha256:d0315d46a2166dee015915b3328b74584bf49190a427f644914225f864e146a1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/44X5MZFWQOSB4C7WOMZY6CYUPX/bundle.json","state_url":"https://pith.science/pith/44X5MZFWQOSB4C7WOMZY6CYUPX/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/44X5MZFWQOSB4C7WOMZY6CYUPX/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":"2026-06-05T07:27:46Z","links":{"resolver":"https://pith.science/pith/44X5MZFWQOSB4C7WOMZY6CYUPX","bundle":"https://pith.science/pith/44X5MZFWQOSB4C7WOMZY6CYUPX/bundle.json","state":"https://pith.science/pith/44X5MZFWQOSB4C7WOMZY6CYUPX/state.json","well_known_bundle":"https://pith.science/.well-known/pith/44X5MZFWQOSB4C7WOMZY6CYUPX/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:44X5MZFWQOSB4C7WOMZY6CYUPX","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":"e2a9d0578a5ae6fae54b70954e48d89e71ea69a335668450ce4068cf0ac35850","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2016-03-25T18:51:38Z","title_canon_sha256":"2ac5d00d0e66ffd29824247015b047bec358f4e293aa6828ee7a5da2f9229f2b"},"schema_version":"1.0","source":{"id":"1603.07983","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.07983","created_at":"2026-05-18T01:12:43Z"},{"alias_kind":"arxiv_version","alias_value":"1603.07983v1","created_at":"2026-05-18T01:12:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.07983","created_at":"2026-05-18T01:12:43Z"},{"alias_kind":"pith_short_12","alias_value":"44X5MZFWQOSB","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_16","alias_value":"44X5MZFWQOSB4C7W","created_at":"2026-05-18T12:29:58Z"},{"alias_kind":"pith_short_8","alias_value":"44X5MZFW","created_at":"2026-05-18T12:29:58Z"}],"graph_snapshots":[{"event_id":"sha256:d0315d46a2166dee015915b3328b74584bf49190a427f644914225f864e146a1","target":"graph","created_at":"2026-05-18T01:12:43Z","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":"Most stars are born in the gaseous proto-cluster environment. The knowledge of this intermediate stage gives more accurate constraints on star formation characteristics. We demonstrate that a virialized globally supported structure, in which star formation happens, is formed out of a collapsing molecular cloud, and derive a mapping from the parent cloud parameters to the proto-cluster to predict its properties, with a view to confront analytical calculations with observations and simulations. The virial theorem is decomposed into two dimensions to account for the rotation and the flattened geo","authors_text":"Patrick Hennebelle, Yueh-Ning Lee","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2016-03-25T18:51:38Z","title":"Formation of proto-cluster: a virialized structure from gravo-turbulent collapse II. A two-dimensional analytical model for rotating and accreting system"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.07983","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":"sha256:3657a271e7fe63487e605cbea34d4d7d07424113d062807cf283451a74214ed2","target":"record","created_at":"2026-05-18T01:12:43Z","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":"e2a9d0578a5ae6fae54b70954e48d89e71ea69a335668450ce4068cf0ac35850","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2016-03-25T18:51:38Z","title_canon_sha256":"2ac5d00d0e66ffd29824247015b047bec358f4e293aa6828ee7a5da2f9229f2b"},"schema_version":"1.0","source":{"id":"1603.07983","kind":"arxiv","version":1}},"canonical_sha256":"e72fd664b683a41e0bf673338f0b147df05f0702ad018dd3d2cc608eeb8c15a7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e72fd664b683a41e0bf673338f0b147df05f0702ad018dd3d2cc608eeb8c15a7","first_computed_at":"2026-05-18T01:12:43.847669Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:12:43.847669Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"3Up7A/Gb/3/9+K9t1YtrYpjvdiv944I/Dw4ebM5oNKbwXTWqyMtRGnI8xDCR8U1kg8kxAjY9ZzSEz1qVN0UNDA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:12:43.848016Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.07983","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3657a271e7fe63487e605cbea34d4d7d07424113d062807cf283451a74214ed2","sha256:d0315d46a2166dee015915b3328b74584bf49190a427f644914225f864e146a1"],"state_sha256":"3cc581b7cd22d1d823520036a1ca070f9b92de515fd04a6b85196d7cbc8cc7eb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XbsWAdxF8T653mZ1fmpCxf3I9oVrwgSLTU17KlN6KW85EvQ0R1BmPYNxXTFEywzaScgpi+JwiZn5mtM0WWygDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T07:27:46.103277Z","bundle_sha256":"7db6b4d0debc4153c2994f283a580ea1a4e941c4d3fc298ac31f78db00c8fbd3"}}