{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1993:DN42ELXL5MGRGBZ3G4GTWWE6LQ","short_pith_number":"pith:DN42ELXL","canonical_record":{"source":{"id":"hep-ph/9302321","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1993-02-28T18:53:17Z","cross_cats_sorted":[],"title_canon_sha256":"04671710da5613522b20a6334028ea2ad1771b3ce1d2815bd03c856b369c3670","abstract_canon_sha256":"187fcbec4716796c96b6796990c6f9ac269aba240c0999ecd672938eeddd12aa"},"schema_version":"1.0"},"canonical_sha256":"1b79a22eebeb0d13073b370d3b589e5c16d578c45a4a920db0d49c64063cf468","source":{"kind":"arxiv","id":"hep-ph/9302321","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9302321","created_at":"2026-07-04T15:55:45Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9302321v1","created_at":"2026-07-04T15:55:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9302321","created_at":"2026-07-04T15:55:45Z"},{"alias_kind":"pith_short_12","alias_value":"DN42ELXL5MGR","created_at":"2026-07-04T15:55:45Z"},{"alias_kind":"pith_short_16","alias_value":"DN42ELXL5MGRGBZ3","created_at":"2026-07-04T15:55:45Z"},{"alias_kind":"pith_short_8","alias_value":"DN42ELXL","created_at":"2026-07-04T15:55:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1993:DN42ELXL5MGRGBZ3G4GTWWE6LQ","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/9302321","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1993-02-28T18:53:17Z","cross_cats_sorted":[],"title_canon_sha256":"04671710da5613522b20a6334028ea2ad1771b3ce1d2815bd03c856b369c3670","abstract_canon_sha256":"187fcbec4716796c96b6796990c6f9ac269aba240c0999ecd672938eeddd12aa"},"schema_version":"1.0"},"canonical_sha256":"1b79a22eebeb0d13073b370d3b589e5c16d578c45a4a920db0d49c64063cf468","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:55:45.083680Z","signature_b64":"fkTGgnl8OgKArrWTq/yW5jZROXf5CZ8HOjcV/WpWG3RmA7v107s3lHGNGsWY3P600iyeZfnqDmpZmb/qAr1xAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1b79a22eebeb0d13073b370d3b589e5c16d578c45a4a920db0d49c64063cf468","last_reissued_at":"2026-07-04T15:55:45.083291Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:55:45.083291Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/9302321","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":"2026-07-04T15:55:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"8ntjMr522lCvQ4aesg+rPc1RWGGYBXsFM5H494S64sCzwyaXdVpkgKhwJEe42bIW4gZ1dmpqPV97mrSJ2JqpAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T21:45:31.913513Z"},"content_sha256":"9d7abc546351c95f6d0a72d9c59619b60792171140dce49f0e26875c1e65ba6b","schema_version":"1.0","event_id":"sha256:9d7abc546351c95f6d0a72d9c59619b60792171140dce49f0e26875c1e65ba6b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1993:DN42ELXL5MGRGBZ3G4GTWWE6LQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"General Solutions for Tunneling of Scalar Fields with Quartic Potentials","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Fred C. Adams","submitted_at":"1993-02-28T18:53:17Z","abstract_excerpt":"For the theory of a single scalar field $\\varphi$ with a quartic potential $V(\\varphi)$, we find semi-analytic expressions for the Euclidean action in both four and three dimensions. The action in four dimensions determines the quantum tunneling rate at zero temperature from a false vacuum state to the true vacuum state; similarly, the action in three dimensions determines the thermal tunneling rate for a finite temperature theory. We show that for all quartic potentials, the action can be obtained from a one parameter family of instanton solutions corresponding to a one parameter family of di"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9302321","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/9302321/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":"2026-07-04T15:55:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aI8NalCMhxFfKZXCZYo+WOcbEulJN9dk05ULRQqyF2Qel4rShKT8bPYMELKk9vHkXqSg97scED3/G7Q2RNVDBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-04T21:45:31.913886Z"},"content_sha256":"7ff705117c8fc147744215c10e31ff7f2177a3dc11d8583a250556726b894ca8","schema_version":"1.0","event_id":"sha256:7ff705117c8fc147744215c10e31ff7f2177a3dc11d8583a250556726b894ca8"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DN42ELXL5MGRGBZ3G4GTWWE6LQ/bundle.json","state_url":"https://pith.science/pith/DN42ELXL5MGRGBZ3G4GTWWE6LQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DN42ELXL5MGRGBZ3G4GTWWE6LQ/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":"2026-07-04T21:45:31Z","links":{"resolver":"https://pith.science/pith/DN42ELXL5MGRGBZ3G4GTWWE6LQ","bundle":"https://pith.science/pith/DN42ELXL5MGRGBZ3G4GTWWE6LQ/bundle.json","state":"https://pith.science/pith/DN42ELXL5MGRGBZ3G4GTWWE6LQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DN42ELXL5MGRGBZ3G4GTWWE6LQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1993:DN42ELXL5MGRGBZ3G4GTWWE6LQ","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":"187fcbec4716796c96b6796990c6f9ac269aba240c0999ecd672938eeddd12aa","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1993-02-28T18:53:17Z","title_canon_sha256":"04671710da5613522b20a6334028ea2ad1771b3ce1d2815bd03c856b369c3670"},"schema_version":"1.0","source":{"id":"hep-ph/9302321","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9302321","created_at":"2026-07-04T15:55:45Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9302321v1","created_at":"2026-07-04T15:55:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9302321","created_at":"2026-07-04T15:55:45Z"},{"alias_kind":"pith_short_12","alias_value":"DN42ELXL5MGR","created_at":"2026-07-04T15:55:45Z"},{"alias_kind":"pith_short_16","alias_value":"DN42ELXL5MGRGBZ3","created_at":"2026-07-04T15:55:45Z"},{"alias_kind":"pith_short_8","alias_value":"DN42ELXL","created_at":"2026-07-04T15:55:45Z"}],"graph_snapshots":[{"event_id":"sha256:7ff705117c8fc147744215c10e31ff7f2177a3dc11d8583a250556726b894ca8","target":"graph","created_at":"2026-07-04T15:55:45Z","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/9302321/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"For the theory of a single scalar field $\\varphi$ with a quartic potential $V(\\varphi)$, we find semi-analytic expressions for the Euclidean action in both four and three dimensions. The action in four dimensions determines the quantum tunneling rate at zero temperature from a false vacuum state to the true vacuum state; similarly, the action in three dimensions determines the thermal tunneling rate for a finite temperature theory. We show that for all quartic potentials, the action can be obtained from a one parameter family of instanton solutions corresponding to a one parameter family of di","authors_text":"Fred C. Adams","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"1993-02-28T18:53:17Z","title":"General Solutions for Tunneling of Scalar Fields with Quartic Potentials"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9302321","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":"sha256:9d7abc546351c95f6d0a72d9c59619b60792171140dce49f0e26875c1e65ba6b","target":"record","created_at":"2026-07-04T15:55:45Z","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":"187fcbec4716796c96b6796990c6f9ac269aba240c0999ecd672938eeddd12aa","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1993-02-28T18:53:17Z","title_canon_sha256":"04671710da5613522b20a6334028ea2ad1771b3ce1d2815bd03c856b369c3670"},"schema_version":"1.0","source":{"id":"hep-ph/9302321","kind":"arxiv","version":1}},"canonical_sha256":"1b79a22eebeb0d13073b370d3b589e5c16d578c45a4a920db0d49c64063cf468","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1b79a22eebeb0d13073b370d3b589e5c16d578c45a4a920db0d49c64063cf468","first_computed_at":"2026-07-04T15:55:45.083291Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:55:45.083291Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"fkTGgnl8OgKArrWTq/yW5jZROXf5CZ8HOjcV/WpWG3RmA7v107s3lHGNGsWY3P600iyeZfnqDmpZmb/qAr1xAg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:55:45.083680Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/9302321","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9d7abc546351c95f6d0a72d9c59619b60792171140dce49f0e26875c1e65ba6b","sha256:7ff705117c8fc147744215c10e31ff7f2177a3dc11d8583a250556726b894ca8"],"state_sha256":"15d4242a69bd566fb7847e241cd62591c1844570d8db3db136c745b9e2e6874f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"i/H+rWCOtpJjb7T/pgRGQnh6BKk1gNKXL5MlHqgIDFcwh1Swvcu/bPvCkAFo/NUs0ntLwIyBokAJO9n+lOjEDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-04T21:45:31.915824Z","bundle_sha256":"e93b043eeac414790842ba52aead96e68945422fc012f19c4ac2bd73c9cf9cc5"}}