{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:FQBTA3APUEUDMWG5X2SICDP5VS","short_pith_number":"pith:FQBTA3AP","canonical_record":{"source":{"id":"1604.04975","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2016-04-18T03:40:34Z","cross_cats_sorted":[],"title_canon_sha256":"48844812ef48d761d8cfd9dda53b14b33775ea7b0380c456e2b261c2ca6e2d61","abstract_canon_sha256":"71bddc45a1486757600156d3a9ec3ea2be3e1a7e1cd1d68c09ecea6f1005a2e7"},"schema_version":"1.0"},"canonical_sha256":"2c03306c0fa1283658ddbea4810dfdaca45b64e71b1eb496495e4c2167c1db9e","source":{"kind":"arxiv","id":"1604.04975","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.04975","created_at":"2026-05-18T01:01:24Z"},{"alias_kind":"arxiv_version","alias_value":"1604.04975v1","created_at":"2026-05-18T01:01:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.04975","created_at":"2026-05-18T01:01:24Z"},{"alias_kind":"pith_short_12","alias_value":"FQBTA3APUEUD","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FQBTA3APUEUDMWG5","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FQBTA3AP","created_at":"2026-05-18T12:30:15Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:FQBTA3APUEUDMWG5X2SICDP5VS","target":"record","payload":{"canonical_record":{"source":{"id":"1604.04975","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2016-04-18T03:40:34Z","cross_cats_sorted":[],"title_canon_sha256":"48844812ef48d761d8cfd9dda53b14b33775ea7b0380c456e2b261c2ca6e2d61","abstract_canon_sha256":"71bddc45a1486757600156d3a9ec3ea2be3e1a7e1cd1d68c09ecea6f1005a2e7"},"schema_version":"1.0"},"canonical_sha256":"2c03306c0fa1283658ddbea4810dfdaca45b64e71b1eb496495e4c2167c1db9e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:01:24.183450Z","signature_b64":"Ikb2vkv2GWVfYxCvRRxWW/+Lk0d20mZ1lJNC65KXyu82DfLnScCIj/UrSTz/ICf2M8f/kQYTrlFQvfnaAgS8Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2c03306c0fa1283658ddbea4810dfdaca45b64e71b1eb496495e4c2167c1db9e","last_reissued_at":"2026-05-18T01:01:24.183011Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:01:24.183011Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.04975","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":"2026-05-18T01:01:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+NOxwLIUWZ7UND0kRUmfbF8JvOrJvKFzpR03A6MOFxAeyhByj7Jvqgb3KUR9IZ++0ZIS1lUNMqIycjHZCbqmBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T17:52:18.892379Z"},"content_sha256":"dbfa1a3778834255e7a920cf27276d00fac6c7cfe2a60aeeb7862719a32fac93","schema_version":"1.0","event_id":"sha256:dbfa1a3778834255e7a920cf27276d00fac6c7cfe2a60aeeb7862719a32fac93"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:FQBTA3APUEUDMWG5X2SICDP5VS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Stability of Rotating Self-Gravitating Filaments:Stability of Rotating Self-Gravitating Filaments: Effects of Magnetic Field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.GA","authors_text":"Sagar Chakraborty, Shubhadeep Sadhukhan, Surajit Mondal","submitted_at":"2016-04-18T03:40:34Z","abstract_excerpt":"We have performed systemmatic local linear stability analysis on a radially stratified infinite self-gravitating cylinder of rotating plasma under the influence of magnetic field. In order to render the system analytically tractable, we have focussed solely on the axisymmetric modes of perturbations. Using cylindrical coordinate system, we have derived the critical linear mass density of a non-rotating filament required for gravitational collapse to ensue in the presence of azimuthal magnetic field. Moreover, for such filaments threaded by axial magnetic field, we show that the growth rates of"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.04975","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":"2026-05-18T01:01:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"XGbRorRqfMOjA3ZX6C/aDJ55nStUSiR8aQsndhy3ebyTyB1Xc+f0fXylLYgGjb1RkUYaDEtftE8g2tXRfDXIAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T17:52:18.893054Z"},"content_sha256":"027b98dc28019b26dd62d1398d814a5cd12d01aa4684d080f9e63069c009b76c","schema_version":"1.0","event_id":"sha256:027b98dc28019b26dd62d1398d814a5cd12d01aa4684d080f9e63069c009b76c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FQBTA3APUEUDMWG5X2SICDP5VS/bundle.json","state_url":"https://pith.science/pith/FQBTA3APUEUDMWG5X2SICDP5VS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FQBTA3APUEUDMWG5X2SICDP5VS/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":"2026-06-07T17:52:18Z","links":{"resolver":"https://pith.science/pith/FQBTA3APUEUDMWG5X2SICDP5VS","bundle":"https://pith.science/pith/FQBTA3APUEUDMWG5X2SICDP5VS/bundle.json","state":"https://pith.science/pith/FQBTA3APUEUDMWG5X2SICDP5VS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FQBTA3APUEUDMWG5X2SICDP5VS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:FQBTA3APUEUDMWG5X2SICDP5VS","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":"71bddc45a1486757600156d3a9ec3ea2be3e1a7e1cd1d68c09ecea6f1005a2e7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2016-04-18T03:40:34Z","title_canon_sha256":"48844812ef48d761d8cfd9dda53b14b33775ea7b0380c456e2b261c2ca6e2d61"},"schema_version":"1.0","source":{"id":"1604.04975","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.04975","created_at":"2026-05-18T01:01:24Z"},{"alias_kind":"arxiv_version","alias_value":"1604.04975v1","created_at":"2026-05-18T01:01:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.04975","created_at":"2026-05-18T01:01:24Z"},{"alias_kind":"pith_short_12","alias_value":"FQBTA3APUEUD","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_16","alias_value":"FQBTA3APUEUDMWG5","created_at":"2026-05-18T12:30:15Z"},{"alias_kind":"pith_short_8","alias_value":"FQBTA3AP","created_at":"2026-05-18T12:30:15Z"}],"graph_snapshots":[{"event_id":"sha256:027b98dc28019b26dd62d1398d814a5cd12d01aa4684d080f9e63069c009b76c","target":"graph","created_at":"2026-05-18T01:01:24Z","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 have performed systemmatic local linear stability analysis on a radially stratified infinite self-gravitating cylinder of rotating plasma under the influence of magnetic field. In order to render the system analytically tractable, we have focussed solely on the axisymmetric modes of perturbations. Using cylindrical coordinate system, we have derived the critical linear mass density of a non-rotating filament required for gravitational collapse to ensue in the presence of azimuthal magnetic field. Moreover, for such filaments threaded by axial magnetic field, we show that the growth rates of","authors_text":"Sagar Chakraborty, Shubhadeep Sadhukhan, Surajit Mondal","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2016-04-18T03:40:34Z","title":"Stability of Rotating Self-Gravitating Filaments:Stability of Rotating Self-Gravitating Filaments: Effects of Magnetic Field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.04975","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:dbfa1a3778834255e7a920cf27276d00fac6c7cfe2a60aeeb7862719a32fac93","target":"record","created_at":"2026-05-18T01:01:24Z","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":"71bddc45a1486757600156d3a9ec3ea2be3e1a7e1cd1d68c09ecea6f1005a2e7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.GA","submitted_at":"2016-04-18T03:40:34Z","title_canon_sha256":"48844812ef48d761d8cfd9dda53b14b33775ea7b0380c456e2b261c2ca6e2d61"},"schema_version":"1.0","source":{"id":"1604.04975","kind":"arxiv","version":1}},"canonical_sha256":"2c03306c0fa1283658ddbea4810dfdaca45b64e71b1eb496495e4c2167c1db9e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2c03306c0fa1283658ddbea4810dfdaca45b64e71b1eb496495e4c2167c1db9e","first_computed_at":"2026-05-18T01:01:24.183011Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:01:24.183011Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Ikb2vkv2GWVfYxCvRRxWW/+Lk0d20mZ1lJNC65KXyu82DfLnScCIj/UrSTz/ICf2M8f/kQYTrlFQvfnaAgS8Bg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:01:24.183450Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.04975","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dbfa1a3778834255e7a920cf27276d00fac6c7cfe2a60aeeb7862719a32fac93","sha256:027b98dc28019b26dd62d1398d814a5cd12d01aa4684d080f9e63069c009b76c"],"state_sha256":"ce5333671859fa4818b8ee1fc3c8199f205e4b9fa6156655b3501f40c2ca2be0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4Jyf5xI0GbXRkVSGPiENeSMybgoKxgf+xTAUiL/BIBoLyHz72EBpYvtnx0ozSmfvNYRhe+rk9JZrl9Dt4ms4BA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T17:52:18.897068Z","bundle_sha256":"1c1a2218d697a40175fd2f94eace679305fd1e4d67ce91e8bc969233a41b326d"}}