{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1996:ZF4VRT35MHUFIOVF3RWG3OC456","short_pith_number":"pith:ZF4VRT35","canonical_record":{"source":{"id":"hep-ph/9610217","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1996-10-02T14:19:22Z","cross_cats_sorted":[],"title_canon_sha256":"458768a57b2369d5ad5d54879ce2244f8654a46b9dd5b173c7c96d6a183b97e4","abstract_canon_sha256":"55e12f5f046c22a72b86f8997a2b7f6c096512c56dcffd85490c23afdee498af"},"schema_version":"1.0"},"canonical_sha256":"c97958cf7d61e8543aa5dc6c6db85cefae4ad911ffe8c127b5abff897d531c38","source":{"kind":"arxiv","id":"hep-ph/9610217","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9610217","created_at":"2026-07-04T16:01:41Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9610217v1","created_at":"2026-07-04T16:01:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9610217","created_at":"2026-07-04T16:01:41Z"},{"alias_kind":"pith_short_12","alias_value":"ZF4VRT35MHUF","created_at":"2026-07-04T16:01:41Z"},{"alias_kind":"pith_short_16","alias_value":"ZF4VRT35MHUFIOVF","created_at":"2026-07-04T16:01:41Z"},{"alias_kind":"pith_short_8","alias_value":"ZF4VRT35","created_at":"2026-07-04T16:01:41Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1996:ZF4VRT35MHUFIOVF3RWG3OC456","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/9610217","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1996-10-02T14:19:22Z","cross_cats_sorted":[],"title_canon_sha256":"458768a57b2369d5ad5d54879ce2244f8654a46b9dd5b173c7c96d6a183b97e4","abstract_canon_sha256":"55e12f5f046c22a72b86f8997a2b7f6c096512c56dcffd85490c23afdee498af"},"schema_version":"1.0"},"canonical_sha256":"c97958cf7d61e8543aa5dc6c6db85cefae4ad911ffe8c127b5abff897d531c38","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T16:01:41.669668Z","signature_b64":"2wJq+6ScWaVhABHod0pvYT3sDDUJvK/rQ/GGks1OZtepK5E7c+XI+U/l64vi5Ce32dJ2ddX7XkkFjhHAAWbDAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c97958cf7d61e8543aa5dc6c6db85cefae4ad911ffe8c127b5abff897d531c38","last_reissued_at":"2026-07-04T16:01:41.669303Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T16:01:41.669303Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/9610217","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":"2026-07-04T16:01:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YqN0ql7i6s17oNvyi6EWBULIyUvYLHMHhlBErhnSS3w+NZnjE8vVTnnr2uYDAEHbx1PEfKqd5/S+ySuOL0YSAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T17:32:42.073670Z"},"content_sha256":"4d404579c90b247e7c9d70176171a14995cd858bfbf8f14d683b962d7498e157","schema_version":"1.0","event_id":"sha256:4d404579c90b247e7c9d70176171a14995cd858bfbf8f14d683b962d7498e157"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1996:ZF4VRT35MHUFIOVF3RWG3OC456","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lifetime of $(\\pi^+\\pi^-)$ Atom: Analysis of the Role of Strong Interactions","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"A.G. Rusetsky, V.E. Lyubovitskij","submitted_at":"1996-10-02T14:19:22Z","abstract_excerpt":"The expression for the $(\\pi^+\\pi^-)$ atom lifetime is derived within the Bethe-Salpeter approach. First-order perturbative corrections due to the contribution of strong interactions are taken into account. It is demonstrated that the atom lifetime can be expressed in terms of the solutions of the Coulombic problem (the wave function of the $1S$ state at the origin $\\Psi_1(0)$, the binding energy of the $S$-state $E_1$), the difference of the $S$-wave $\\pi\\pi$ scattering lengths and the energy shift $\\Delta E_1$ of the level due to the strong interactions: $ 1/(\\tau_{1})\\sim (a^0_0-a^2_0)^2 |\\"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9610217","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-ph/9610217/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":"2026-07-04T16:01:41Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Fh+QBBD6yW6BXngBUiwQj6EavN4kO/1JM2qwchrXb3yBTjkJGOWo8RdsIVwzRPUUSFJx4/V/1oTR/VRADt8SCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-12T17:32:42.074452Z"},"content_sha256":"23055beb8cc73cec6c7316b89307521ad040397b53ca6015fc9357179fd8d6b2","schema_version":"1.0","event_id":"sha256:23055beb8cc73cec6c7316b89307521ad040397b53ca6015fc9357179fd8d6b2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZF4VRT35MHUFIOVF3RWG3OC456/bundle.json","state_url":"https://pith.science/pith/ZF4VRT35MHUFIOVF3RWG3OC456/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZF4VRT35MHUFIOVF3RWG3OC456/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":"2026-08-12T17:32:42Z","links":{"resolver":"https://pith.science/pith/ZF4VRT35MHUFIOVF3RWG3OC456","bundle":"https://pith.science/pith/ZF4VRT35MHUFIOVF3RWG3OC456/bundle.json","state":"https://pith.science/pith/ZF4VRT35MHUFIOVF3RWG3OC456/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZF4VRT35MHUFIOVF3RWG3OC456/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1996:ZF4VRT35MHUFIOVF3RWG3OC456","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":"55e12f5f046c22a72b86f8997a2b7f6c096512c56dcffd85490c23afdee498af","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1996-10-02T14:19:22Z","title_canon_sha256":"458768a57b2369d5ad5d54879ce2244f8654a46b9dd5b173c7c96d6a183b97e4"},"schema_version":"1.0","source":{"id":"hep-ph/9610217","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9610217","created_at":"2026-07-04T16:01:41Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9610217v1","created_at":"2026-07-04T16:01:41Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9610217","created_at":"2026-07-04T16:01:41Z"},{"alias_kind":"pith_short_12","alias_value":"ZF4VRT35MHUF","created_at":"2026-07-04T16:01:41Z"},{"alias_kind":"pith_short_16","alias_value":"ZF4VRT35MHUFIOVF","created_at":"2026-07-04T16:01:41Z"},{"alias_kind":"pith_short_8","alias_value":"ZF4VRT35","created_at":"2026-07-04T16:01:41Z"}],"graph_snapshots":[{"event_id":"sha256:23055beb8cc73cec6c7316b89307521ad040397b53ca6015fc9357179fd8d6b2","target":"graph","created_at":"2026-07-04T16:01:41Z","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/hep-ph/9610217/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The expression for the $(\\pi^+\\pi^-)$ atom lifetime is derived within the Bethe-Salpeter approach. First-order perturbative corrections due to the contribution of strong interactions are taken into account. It is demonstrated that the atom lifetime can be expressed in terms of the solutions of the Coulombic problem (the wave function of the $1S$ state at the origin $\\Psi_1(0)$, the binding energy of the $S$-state $E_1$), the difference of the $S$-wave $\\pi\\pi$ scattering lengths and the energy shift $\\Delta E_1$ of the level due to the strong interactions: $ 1/(\\tau_{1})\\sim (a^0_0-a^2_0)^2 |\\","authors_text":"A.G. Rusetsky, V.E. Lyubovitskij","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"1996-10-02T14:19:22Z","title":"Lifetime of $(\\pi^+\\pi^-)$ Atom: Analysis of the Role of Strong Interactions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9610217","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":"sha256:4d404579c90b247e7c9d70176171a14995cd858bfbf8f14d683b962d7498e157","target":"record","created_at":"2026-07-04T16:01:41Z","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":"55e12f5f046c22a72b86f8997a2b7f6c096512c56dcffd85490c23afdee498af","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1996-10-02T14:19:22Z","title_canon_sha256":"458768a57b2369d5ad5d54879ce2244f8654a46b9dd5b173c7c96d6a183b97e4"},"schema_version":"1.0","source":{"id":"hep-ph/9610217","kind":"arxiv","version":1}},"canonical_sha256":"c97958cf7d61e8543aa5dc6c6db85cefae4ad911ffe8c127b5abff897d531c38","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c97958cf7d61e8543aa5dc6c6db85cefae4ad911ffe8c127b5abff897d531c38","first_computed_at":"2026-07-04T16:01:41.669303Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T16:01:41.669303Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2wJq+6ScWaVhABHod0pvYT3sDDUJvK/rQ/GGks1OZtepK5E7c+XI+U/l64vi5Ce32dJ2ddX7XkkFjhHAAWbDAQ==","signature_status":"signed_v1","signed_at":"2026-07-04T16:01:41.669668Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/9610217","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4d404579c90b247e7c9d70176171a14995cd858bfbf8f14d683b962d7498e157","sha256:23055beb8cc73cec6c7316b89307521ad040397b53ca6015fc9357179fd8d6b2"],"state_sha256":"854779247570399019fe8133dd065b5a965355874d232e4a2ab653f61abd5884"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"lj4cwL9z6aKcV3/4BQkXQuOApYaytXKmPJfsZtCeyVEe7uMzsCFlRR0xUyejNRaUny4gsJjjJCSvbwboUatcCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-12T17:32:42.080934Z","bundle_sha256":"c10932cb8e41632a6d3f2b2aef50e09e1becf37cd32630422152f51cced4a3cc"}}