{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:AJAM6PNINXYTTNJTQYQQAE3OFM","short_pith_number":"pith:AJAM6PNI","canonical_record":{"source":{"id":"1203.0997","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2012-03-05T18:22:08Z","cross_cats_sorted":[],"title_canon_sha256":"a44a91dc333c5a0b2ecbce806471798bbd54bff7e52ce58aa8b9de8f9a2505bf","abstract_canon_sha256":"741e314bd7b2668502cae16291884b00f7ae5b96f527b336b7cf5bbb2537f320"},"schema_version":"1.0"},"canonical_sha256":"0240cf3da86df139b533862100136e2b31b12e28d692c22ae331e4ad8ef6a276","source":{"kind":"arxiv","id":"1203.0997","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.0997","created_at":"2026-05-18T01:58:14Z"},{"alias_kind":"arxiv_version","alias_value":"1203.0997v3","created_at":"2026-05-18T01:58:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.0997","created_at":"2026-05-18T01:58:14Z"},{"alias_kind":"pith_short_12","alias_value":"AJAM6PNINXYT","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"AJAM6PNINXYTTNJT","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"AJAM6PNI","created_at":"2026-05-18T12:26:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:AJAM6PNINXYTTNJTQYQQAE3OFM","target":"record","payload":{"canonical_record":{"source":{"id":"1203.0997","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2012-03-05T18:22:08Z","cross_cats_sorted":[],"title_canon_sha256":"a44a91dc333c5a0b2ecbce806471798bbd54bff7e52ce58aa8b9de8f9a2505bf","abstract_canon_sha256":"741e314bd7b2668502cae16291884b00f7ae5b96f527b336b7cf5bbb2537f320"},"schema_version":"1.0"},"canonical_sha256":"0240cf3da86df139b533862100136e2b31b12e28d692c22ae331e4ad8ef6a276","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:58:14.794592Z","signature_b64":"hcbuEfzzoQW7jganKEWRL7v1wv80dYnxP6Ez5/vAjrtglcLEFHFwxMSPv/5Upe98hkeeBjiesDlOusdRNc5jBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0240cf3da86df139b533862100136e2b31b12e28d692c22ae331e4ad8ef6a276","last_reissued_at":"2026-05-18T01:58:14.793939Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:58:14.793939Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1203.0997","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:58:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ungyjQ8es+Bk8REgNDj+PLFFF5cdHkZZqA1hiT4zQAcGthqkn1tm4jFU65zIh1Opf/gOG8/T/nkBZXzHDS8qBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:44:31.855508Z"},"content_sha256":"4aec985488a07c3c259d0a0f885dbfcd7f6e7722705ba759770ead436e79b79e","schema_version":"1.0","event_id":"sha256:4aec985488a07c3c259d0a0f885dbfcd7f6e7722705ba759770ead436e79b79e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:AJAM6PNINXYTTNJTQYQQAE3OFM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analytic solution for kinetic equilibrium of beta-processes in nucleonic plasma with relativistic pairs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.HE","authors_text":"G. S. Bisnovatyi-Kogan","submitted_at":"2012-03-05T18:22:08Z","abstract_excerpt":"The analytic solution is obtained describing kinetic equilibrium of the $\\beta$-processes in the nucleonic plasma with relativistic pairs. The nucleons $(n,p)$ are supposed to be non-relativistic and non-degenerate, while the electrons and positrons are ultra-relativistic due to high temperature $(T>6\\cdot 10^9$K), or high density $(\\rho>\\mu 10^6$g/cm$^3$), or both, where $\\mu$ is a number of nucleons per one electron. The consideration is simplified because of the analytic connection of the density with the electron chemical potential in the ultra-relativistic plasma, and Gauss representation"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.0997","kind":"arxiv","version":3},"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":"2026-05-18T01:58:14Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SnGMgRGqKtFtFKeQVgNyXy8G6H5lieataSw6kgieFNThMWiRs0v5Mkz9g1PwuXnymsq6WEJWDcg9eSKRNku0CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T08:44:31.855855Z"},"content_sha256":"58eb2ad331f2e0c93aea7a6cfde810857adc4af366e8458b02ff3889a3484e40","schema_version":"1.0","event_id":"sha256:58eb2ad331f2e0c93aea7a6cfde810857adc4af366e8458b02ff3889a3484e40"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AJAM6PNINXYTTNJTQYQQAE3OFM/bundle.json","state_url":"https://pith.science/pith/AJAM6PNINXYTTNJTQYQQAE3OFM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AJAM6PNINXYTTNJTQYQQAE3OFM/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":"2026-05-30T08:44:31Z","links":{"resolver":"https://pith.science/pith/AJAM6PNINXYTTNJTQYQQAE3OFM","bundle":"https://pith.science/pith/AJAM6PNINXYTTNJTQYQQAE3OFM/bundle.json","state":"https://pith.science/pith/AJAM6PNINXYTTNJTQYQQAE3OFM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AJAM6PNINXYTTNJTQYQQAE3OFM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:AJAM6PNINXYTTNJTQYQQAE3OFM","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":"741e314bd7b2668502cae16291884b00f7ae5b96f527b336b7cf5bbb2537f320","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2012-03-05T18:22:08Z","title_canon_sha256":"a44a91dc333c5a0b2ecbce806471798bbd54bff7e52ce58aa8b9de8f9a2505bf"},"schema_version":"1.0","source":{"id":"1203.0997","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1203.0997","created_at":"2026-05-18T01:58:14Z"},{"alias_kind":"arxiv_version","alias_value":"1203.0997v3","created_at":"2026-05-18T01:58:14Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1203.0997","created_at":"2026-05-18T01:58:14Z"},{"alias_kind":"pith_short_12","alias_value":"AJAM6PNINXYT","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_16","alias_value":"AJAM6PNINXYTTNJT","created_at":"2026-05-18T12:26:58Z"},{"alias_kind":"pith_short_8","alias_value":"AJAM6PNI","created_at":"2026-05-18T12:26:58Z"}],"graph_snapshots":[{"event_id":"sha256:58eb2ad331f2e0c93aea7a6cfde810857adc4af366e8458b02ff3889a3484e40","target":"graph","created_at":"2026-05-18T01:58:14Z","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 analytic solution is obtained describing kinetic equilibrium of the $\\beta$-processes in the nucleonic plasma with relativistic pairs. The nucleons $(n,p)$ are supposed to be non-relativistic and non-degenerate, while the electrons and positrons are ultra-relativistic due to high temperature $(T>6\\cdot 10^9$K), or high density $(\\rho>\\mu 10^6$g/cm$^3$), or both, where $\\mu$ is a number of nucleons per one electron. The consideration is simplified because of the analytic connection of the density with the electron chemical potential in the ultra-relativistic plasma, and Gauss representation","authors_text":"G. S. Bisnovatyi-Kogan","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2012-03-05T18:22:08Z","title":"Analytic solution for kinetic equilibrium of beta-processes in nucleonic plasma with relativistic pairs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1203.0997","kind":"arxiv","version":3},"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":"sha256:4aec985488a07c3c259d0a0f885dbfcd7f6e7722705ba759770ead436e79b79e","target":"record","created_at":"2026-05-18T01:58:14Z","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":"741e314bd7b2668502cae16291884b00f7ae5b96f527b336b7cf5bbb2537f320","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.HE","submitted_at":"2012-03-05T18:22:08Z","title_canon_sha256":"a44a91dc333c5a0b2ecbce806471798bbd54bff7e52ce58aa8b9de8f9a2505bf"},"schema_version":"1.0","source":{"id":"1203.0997","kind":"arxiv","version":3}},"canonical_sha256":"0240cf3da86df139b533862100136e2b31b12e28d692c22ae331e4ad8ef6a276","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0240cf3da86df139b533862100136e2b31b12e28d692c22ae331e4ad8ef6a276","first_computed_at":"2026-05-18T01:58:14.793939Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:58:14.793939Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"hcbuEfzzoQW7jganKEWRL7v1wv80dYnxP6Ez5/vAjrtglcLEFHFwxMSPv/5Upe98hkeeBjiesDlOusdRNc5jBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:58:14.794592Z","signed_message":"canonical_sha256_bytes"},"source_id":"1203.0997","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4aec985488a07c3c259d0a0f885dbfcd7f6e7722705ba759770ead436e79b79e","sha256:58eb2ad331f2e0c93aea7a6cfde810857adc4af366e8458b02ff3889a3484e40"],"state_sha256":"0994f176d58c3b8bbc419b85b47dc3d258682b40ef80a360b561014aa3558653"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4C7DIMlnW6tF5XDiT+2jAO9dYUlkgCxk/JVRfmFq1cDyql+ZGci1+9iYOww+4WM6cwfyscNnHTGl9ix/rTjiAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T08:44:31.857928Z","bundle_sha256":"71a74f6671cd6af0ae6a471b0c6d0d9c92c888e5d72245b186766d11d10c3d29"}}