{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:44JFMLP4F44CZ3NXWQYLYXSAJS","short_pith_number":"pith:44JFMLP4","canonical_record":{"source":{"id":"1202.1873","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2012-02-09T02:21:13Z","cross_cats_sorted":["astro-ph.GA","cond-mat.stat-mech"],"title_canon_sha256":"29263b59fd84fdbd45017f58f5be04d48b89c41322ccbb7aa159625dd14d5a5b","abstract_canon_sha256":"7b387a1ce5e8a6f44df6d69c3bf33c7d70867e98a51b2c82a5f3112e3f5ddc46"},"schema_version":"1.0"},"canonical_sha256":"e712562dfc2f382cedb7b430bc5e404c81e14656c6685943979a05a28843b047","source":{"kind":"arxiv","id":"1202.1873","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.1873","created_at":"2026-05-18T04:02:38Z"},{"alias_kind":"arxiv_version","alias_value":"1202.1873v1","created_at":"2026-05-18T04:02:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.1873","created_at":"2026-05-18T04:02:38Z"},{"alias_kind":"pith_short_12","alias_value":"44JFMLP4F44C","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"44JFMLP4F44CZ3NX","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"44JFMLP4","created_at":"2026-05-18T12:26:53Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:44JFMLP4F44CZ3NXWQYLYXSAJS","target":"record","payload":{"canonical_record":{"source":{"id":"1202.1873","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2012-02-09T02:21:13Z","cross_cats_sorted":["astro-ph.GA","cond-mat.stat-mech"],"title_canon_sha256":"29263b59fd84fdbd45017f58f5be04d48b89c41322ccbb7aa159625dd14d5a5b","abstract_canon_sha256":"7b387a1ce5e8a6f44df6d69c3bf33c7d70867e98a51b2c82a5f3112e3f5ddc46"},"schema_version":"1.0"},"canonical_sha256":"e712562dfc2f382cedb7b430bc5e404c81e14656c6685943979a05a28843b047","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:02:38.900033Z","signature_b64":"m5dnhXq0PgwJeglYShI1jaYlp1gxQfRi/oLCUIgm8X5gf2nR1fw+NQ0p5Q9jeL5dF6NtCxegmbStowsJT6CLBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e712562dfc2f382cedb7b430bc5e404c81e14656c6685943979a05a28843b047","last_reissued_at":"2026-05-18T04:02:38.899421Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:02:38.899421Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1202.1873","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":"2026-05-18T04:02:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lYSXC1HyYyzgz3BnNCPYDNlPgIYA/JMyqxDDbeqBWZxSX2SPv9mXFemErls9FzU5f3ALwwkKDlyRB54f57ZzAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T06:56:45.191546Z"},"content_sha256":"73aef42b6ab0a0132fd701cb70320dd6b3db8bc3eefd41103f2e63da1822eab6","schema_version":"1.0","event_id":"sha256:73aef42b6ab0a0132fd701cb70320dd6b3db8bc3eefd41103f2e63da1822eab6"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:44JFMLP4F44CZ3NXWQYLYXSAJS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Nonextensive Effects on Chandrasekhar's Dynamical Friction","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.GA","cond-mat.stat-mech"],"primary_cat":"astro-ph.SR","authors_text":"J. A. S. Lima, J. M. Silva, R. E. de Souza","submitted_at":"2012-02-09T02:21:13Z","abstract_excerpt":"The motion of a point like object of mass M passing through the background potential of massive collisionless particles (m << M) suffers a steady deceleration named dynamic friction. In his classical work, Chandrasekhar assumed a Maxwellian velocity distribution in the halo and neglected the self gravity of the wake induced by the gravitational focusing of the mass M. In this paper, by relaxing the validity of the Maxwellian distribution due to the presence of long range forces, we derive an analytical formula for the dynamic friction in the context of the q-nonextensive kinetic theory. In the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.1873","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":"2026-05-18T04:02:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bTEyW+x9/LEQ4mAnvgP+MMI+H/HgnJMvjBd9cbesjmP/AWTD+C/mvn/cGkA24NUxzIBDnqSqe11ytaN1x6msCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-20T06:56:45.191892Z"},"content_sha256":"f3a9d14ddc1451f78cb2d5007ee6a7c431a0b09b90f168364bd2498b755f95a3","schema_version":"1.0","event_id":"sha256:f3a9d14ddc1451f78cb2d5007ee6a7c431a0b09b90f168364bd2498b755f95a3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/44JFMLP4F44CZ3NXWQYLYXSAJS/bundle.json","state_url":"https://pith.science/pith/44JFMLP4F44CZ3NXWQYLYXSAJS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/44JFMLP4F44CZ3NXWQYLYXSAJS/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":"2026-05-20T06:56:45Z","links":{"resolver":"https://pith.science/pith/44JFMLP4F44CZ3NXWQYLYXSAJS","bundle":"https://pith.science/pith/44JFMLP4F44CZ3NXWQYLYXSAJS/bundle.json","state":"https://pith.science/pith/44JFMLP4F44CZ3NXWQYLYXSAJS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/44JFMLP4F44CZ3NXWQYLYXSAJS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:44JFMLP4F44CZ3NXWQYLYXSAJS","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":"7b387a1ce5e8a6f44df6d69c3bf33c7d70867e98a51b2c82a5f3112e3f5ddc46","cross_cats_sorted":["astro-ph.GA","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2012-02-09T02:21:13Z","title_canon_sha256":"29263b59fd84fdbd45017f58f5be04d48b89c41322ccbb7aa159625dd14d5a5b"},"schema_version":"1.0","source":{"id":"1202.1873","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1202.1873","created_at":"2026-05-18T04:02:38Z"},{"alias_kind":"arxiv_version","alias_value":"1202.1873v1","created_at":"2026-05-18T04:02:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1202.1873","created_at":"2026-05-18T04:02:38Z"},{"alias_kind":"pith_short_12","alias_value":"44JFMLP4F44C","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_16","alias_value":"44JFMLP4F44CZ3NX","created_at":"2026-05-18T12:26:53Z"},{"alias_kind":"pith_short_8","alias_value":"44JFMLP4","created_at":"2026-05-18T12:26:53Z"}],"graph_snapshots":[{"event_id":"sha256:f3a9d14ddc1451f78cb2d5007ee6a7c431a0b09b90f168364bd2498b755f95a3","target":"graph","created_at":"2026-05-18T04:02:38Z","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 motion of a point like object of mass M passing through the background potential of massive collisionless particles (m << M) suffers a steady deceleration named dynamic friction. In his classical work, Chandrasekhar assumed a Maxwellian velocity distribution in the halo and neglected the self gravity of the wake induced by the gravitational focusing of the mass M. In this paper, by relaxing the validity of the Maxwellian distribution due to the presence of long range forces, we derive an analytical formula for the dynamic friction in the context of the q-nonextensive kinetic theory. In the","authors_text":"J. A. S. Lima, J. M. Silva, R. E. de Souza","cross_cats":["astro-ph.GA","cond-mat.stat-mech"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2012-02-09T02:21:13Z","title":"Nonextensive Effects on Chandrasekhar's Dynamical Friction"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1202.1873","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":"sha256:73aef42b6ab0a0132fd701cb70320dd6b3db8bc3eefd41103f2e63da1822eab6","target":"record","created_at":"2026-05-18T04:02:38Z","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":"7b387a1ce5e8a6f44df6d69c3bf33c7d70867e98a51b2c82a5f3112e3f5ddc46","cross_cats_sorted":["astro-ph.GA","cond-mat.stat-mech"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.SR","submitted_at":"2012-02-09T02:21:13Z","title_canon_sha256":"29263b59fd84fdbd45017f58f5be04d48b89c41322ccbb7aa159625dd14d5a5b"},"schema_version":"1.0","source":{"id":"1202.1873","kind":"arxiv","version":1}},"canonical_sha256":"e712562dfc2f382cedb7b430bc5e404c81e14656c6685943979a05a28843b047","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e712562dfc2f382cedb7b430bc5e404c81e14656c6685943979a05a28843b047","first_computed_at":"2026-05-18T04:02:38.899421Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:02:38.899421Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"m5dnhXq0PgwJeglYShI1jaYlp1gxQfRi/oLCUIgm8X5gf2nR1fw+NQ0p5Q9jeL5dF6NtCxegmbStowsJT6CLBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:02:38.900033Z","signed_message":"canonical_sha256_bytes"},"source_id":"1202.1873","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:73aef42b6ab0a0132fd701cb70320dd6b3db8bc3eefd41103f2e63da1822eab6","sha256:f3a9d14ddc1451f78cb2d5007ee6a7c431a0b09b90f168364bd2498b755f95a3"],"state_sha256":"f8206aa912c760067bc1de13b3e18c58a2cf496047eb5a6d3bbff83cad6240dd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"j22Q2EdwJWaUZeaBqlomtA4l21/UQfo9zyW+dxYGA1HdGZrrcV8/Zc0mie8iATS9IBpg1f+DMjUwyOJJJVyXDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-20T06:56:45.193844Z","bundle_sha256":"ec1b1c603622e600707c4816ca1b34cfa629d6748d2ad6bbab40b915306825ed"}}