{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:UGNGK35M4R2VI7LUMBV6JYX2JZ","short_pith_number":"pith:UGNGK35M","canonical_record":{"source":{"id":"2512.23812","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2025-12-29T19:14:53Z","cross_cats_sorted":[],"title_canon_sha256":"4ae5c0f9f1aae126c19fdce07f9da0248656d1cf13699e887ede1304297d3166","abstract_canon_sha256":"0e138625fd13e7115b51670ead709e84f6427c8d668e4d1e4d424b6f2fc2573d"},"schema_version":"1.0"},"canonical_sha256":"a19a656face475547d74606be4e2fa4e7f66100f021a8710601fe9107f97a33c","source":{"kind":"arxiv","id":"2512.23812","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2512.23812","created_at":"2026-07-30T00:08:12Z"},{"alias_kind":"arxiv_version","alias_value":"2512.23812v2","created_at":"2026-07-30T00:08:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2512.23812","created_at":"2026-07-30T00:08:12Z"},{"alias_kind":"pith_short_12","alias_value":"UGNGK35M4R2V","created_at":"2026-07-30T00:08:12Z"},{"alias_kind":"pith_short_16","alias_value":"UGNGK35M4R2VI7LU","created_at":"2026-07-30T00:08:12Z"},{"alias_kind":"pith_short_8","alias_value":"UGNGK35M","created_at":"2026-07-30T00:08:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:UGNGK35M4R2VI7LUMBV6JYX2JZ","target":"record","payload":{"canonical_record":{"source":{"id":"2512.23812","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2025-12-29T19:14:53Z","cross_cats_sorted":[],"title_canon_sha256":"4ae5c0f9f1aae126c19fdce07f9da0248656d1cf13699e887ede1304297d3166","abstract_canon_sha256":"0e138625fd13e7115b51670ead709e84f6427c8d668e4d1e4d424b6f2fc2573d"},"schema_version":"1.0"},"canonical_sha256":"a19a656face475547d74606be4e2fa4e7f66100f021a8710601fe9107f97a33c","receipt":{"kind":"pith_receipt","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a19a656face475547d74606be4e2fa4e7f66100f021a8710601fe9107f97a33c","last_reissued_at":"2026-07-30T00:08:12.527982Z","signature_status":"unsigned_v0","first_computed_at":"2026-07-30T00:08:12.527982Z"},"source_kind":"arxiv","source_id":"2512.23812","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-30T00:08:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FicvW5IMETaypRomdxeCR99pLvQ3S3z1G/N8655Q+XAXMOV98FUHT6296oYFidNioTc33nyEUSkCtC+ZBQizDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T00:03:08.852756Z"},"content_sha256":"7988f3bfe26b7f0d26a7adef9be12767d6bda9bee821ee9d2949f378972921d2","schema_version":"1.0","event_id":"sha256:7988f3bfe26b7f0d26a7adef9be12767d6bda9bee821ee9d2949f378972921d2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:UGNGK35M4R2VI7LUMBV6JYX2JZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"BSFfast: Rapid computation of bound-state effects on annihilation in the early Universe","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Jan Heisig, Mathias Garny, Stefan Lederer, Tobias Binder","submitted_at":"2025-12-29T19:14:53Z","abstract_excerpt":"Bound-state formation (BSF) can have a large impact on annihilation of new physics particles with long-range interactions in the early Universe. In particular, the inclusion of excited bound states has been found to strongly reduce the dark matter abundance and qualitatively modify the associated freeze-out dynamics. While these effects can be captured by an effective annihilation cross section, its explicit computation is numerically expensive and therefore impractical for repeated use in Boltzmann solvers or parameter scans. In this work we present BSFfast, a lightweight numerical tool that "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2512.23812","kind":"arxiv","version":2},"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/2512.23812/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":"2026-07-30T00:08:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"G8Qy0SoeOO9YOuAZ3JLVF6+JWbfArzj2pVSrs2YgwwGEziG6zDpw9a5yP14vB5la9p8FrevkKNS/nIM7TvLeDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-04T00:03:08.853328Z"},"content_sha256":"c56f68a08ee88ba02c7ddf8c3b1a1cba9ca615aae91233fe49958a1d5bcbe441","schema_version":"1.0","event_id":"sha256:c56f68a08ee88ba02c7ddf8c3b1a1cba9ca615aae91233fe49958a1d5bcbe441"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UGNGK35M4R2VI7LUMBV6JYX2JZ/bundle.json","state_url":"https://pith.science/pith/UGNGK35M4R2VI7LUMBV6JYX2JZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UGNGK35M4R2VI7LUMBV6JYX2JZ/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":"2026-08-04T00:03:08Z","links":{"resolver":"https://pith.science/pith/UGNGK35M4R2VI7LUMBV6JYX2JZ","bundle":"https://pith.science/pith/UGNGK35M4R2VI7LUMBV6JYX2JZ/bundle.json","state":"https://pith.science/pith/UGNGK35M4R2VI7LUMBV6JYX2JZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UGNGK35M4R2VI7LUMBV6JYX2JZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:UGNGK35M4R2VI7LUMBV6JYX2JZ","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":"0e138625fd13e7115b51670ead709e84f6427c8d668e4d1e4d424b6f2fc2573d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2025-12-29T19:14:53Z","title_canon_sha256":"4ae5c0f9f1aae126c19fdce07f9da0248656d1cf13699e887ede1304297d3166"},"schema_version":"1.0","source":{"id":"2512.23812","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2512.23812","created_at":"2026-07-30T00:08:12Z"},{"alias_kind":"arxiv_version","alias_value":"2512.23812v2","created_at":"2026-07-30T00:08:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2512.23812","created_at":"2026-07-30T00:08:12Z"},{"alias_kind":"pith_short_12","alias_value":"UGNGK35M4R2V","created_at":"2026-07-30T00:08:12Z"},{"alias_kind":"pith_short_16","alias_value":"UGNGK35M4R2VI7LU","created_at":"2026-07-30T00:08:12Z"},{"alias_kind":"pith_short_8","alias_value":"UGNGK35M","created_at":"2026-07-30T00:08:12Z"}],"graph_snapshots":[{"event_id":"sha256:c56f68a08ee88ba02c7ddf8c3b1a1cba9ca615aae91233fe49958a1d5bcbe441","target":"graph","created_at":"2026-07-30T00:08:12Z","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/2512.23812/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Bound-state formation (BSF) can have a large impact on annihilation of new physics particles with long-range interactions in the early Universe. In particular, the inclusion of excited bound states has been found to strongly reduce the dark matter abundance and qualitatively modify the associated freeze-out dynamics. While these effects can be captured by an effective annihilation cross section, its explicit computation is numerically expensive and therefore impractical for repeated use in Boltzmann solvers or parameter scans. In this work we present BSFfast, a lightweight numerical tool that ","authors_text":"Jan Heisig, Mathias Garny, Stefan Lederer, Tobias Binder","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2025-12-29T19:14:53Z","title":"BSFfast: Rapid computation of bound-state effects on annihilation in the early Universe"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2512.23812","kind":"arxiv","version":2},"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":"sha256:7988f3bfe26b7f0d26a7adef9be12767d6bda9bee821ee9d2949f378972921d2","target":"record","created_at":"2026-07-30T00:08:12Z","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":"0e138625fd13e7115b51670ead709e84f6427c8d668e4d1e4d424b6f2fc2573d","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"hep-ph","submitted_at":"2025-12-29T19:14:53Z","title_canon_sha256":"4ae5c0f9f1aae126c19fdce07f9da0248656d1cf13699e887ede1304297d3166"},"schema_version":"1.0","source":{"id":"2512.23812","kind":"arxiv","version":2}},"canonical_sha256":"a19a656face475547d74606be4e2fa4e7f66100f021a8710601fe9107f97a33c","receipt":{"builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a19a656face475547d74606be4e2fa4e7f66100f021a8710601fe9107f97a33c","first_computed_at":"2026-07-30T00:08:12.527982Z","kind":"pith_receipt","last_reissued_at":"2026-07-30T00:08:12.527982Z","receipt_version":"0.3","signature_status":"unsigned_v0"},"source_id":"2512.23812","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:7988f3bfe26b7f0d26a7adef9be12767d6bda9bee821ee9d2949f378972921d2","sha256:c56f68a08ee88ba02c7ddf8c3b1a1cba9ca615aae91233fe49958a1d5bcbe441"],"state_sha256":"1bcecbb5a896236c14a29db6bfd9db1293f9f78f33c2992e6f916253a3149c4a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/7bFVq5I14DlEyfkIs6XDTiLRYpNwX3L+iOI88gzxS1hr981/sdKkUanj0E5vwOvtoOtbnzxG7inzMKdq/73Bw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-04T00:03:08.856423Z","bundle_sha256":"5a738107bc65d17479f6a600143c7fa69554a1933780951e6c2336e60426f8f0"}}