{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:1995:3QFFPBOB34UCULO6RKI27TFSXM","short_pith_number":"pith:3QFFPBOB","canonical_record":{"source":{"id":"hep-ph/9508377","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1995-08-27T14:05:57Z","cross_cats_sorted":[],"title_canon_sha256":"dbbc8ba2c6651dd40d98b0897fe501f7a4e7a9ea8d419638ec78a89d6c80d067","abstract_canon_sha256":"fe18dd7592109143c90cef7879b0742207f01ceb116bc8660390487bdf0e62d1"},"schema_version":"1.0"},"canonical_sha256":"dc0a5785c1df282a2dde8a91afccb2bb07d70d1a9be2f026cccd86342f024579","source":{"kind":"arxiv","id":"hep-ph/9508377","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9508377","created_at":"2026-07-04T15:59:12Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9508377v1","created_at":"2026-07-04T15:59:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9508377","created_at":"2026-07-04T15:59:12Z"},{"alias_kind":"pith_short_12","alias_value":"3QFFPBOB34UC","created_at":"2026-07-04T15:59:12Z"},{"alias_kind":"pith_short_16","alias_value":"3QFFPBOB34UCULO6","created_at":"2026-07-04T15:59:12Z"},{"alias_kind":"pith_short_8","alias_value":"3QFFPBOB","created_at":"2026-07-04T15:59:12Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:1995:3QFFPBOB34UCULO6RKI27TFSXM","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/9508377","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"1995-08-27T14:05:57Z","cross_cats_sorted":[],"title_canon_sha256":"dbbc8ba2c6651dd40d98b0897fe501f7a4e7a9ea8d419638ec78a89d6c80d067","abstract_canon_sha256":"fe18dd7592109143c90cef7879b0742207f01ceb116bc8660390487bdf0e62d1"},"schema_version":"1.0"},"canonical_sha256":"dc0a5785c1df282a2dde8a91afccb2bb07d70d1a9be2f026cccd86342f024579","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:59:12.753806Z","signature_b64":"AOUKWFIYGIxhh8tNpoh7l569asu2cG4FdyheVQF9M/8KGp/aR7Qt50Ih3QFh32lGpxhH6PmtkYHgh50t/IrCBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dc0a5785c1df282a2dde8a91afccb2bb07d70d1a9be2f026cccd86342f024579","last_reissued_at":"2026-07-04T15:59:12.753427Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:59:12.753427Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/9508377","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":"2026-07-04T15:59:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Nmt0vj3tJKs0aHj4+wH1zja1MzHLY5bvE3ZXIRUmymUVH/BkONc+93bNiYqSlneLM0zXzcuLFoPf5+JSTDnLAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T13:56:04.804299Z"},"content_sha256":"63ec39c9189104e1501c1fa02f506c0a4065ab7b8d5813b8c388f01a5b86a0e0","schema_version":"1.0","event_id":"sha256:63ec39c9189104e1501c1fa02f506c0a4065ab7b8d5813b8c388f01a5b86a0e0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:1995:3QFFPBOB34UCULO6RKI27TFSXM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bern-Kosower Rule for Scalar QED","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Japan), K.Daikouji, M.Shino, Sendai, Tohoku University, Y.Sumino (Department of Physics","submitted_at":"1995-08-27T14:05:57Z","abstract_excerpt":"We derive a full Bern-Kosower-type rule for scalar QED starting from quantum field theory: we derive a set of rules for calculating $S$-matrix elements for any processes at any order of the coupling constant. Gauge-invariant set of diagrams in general is first written in the worldline path-integral expression. Then we integrate over $x(\\tau)$, and the resulting expression is given in terms of correlation function on the worldline $\\left< x(\\tau) x(\\tau') \\right>$. Simple rules to decompose the correlation function into basic elements are obtained. Gauge transformation known as integration by p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9508377","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/9508377/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":"2026-07-04T15:59:12Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eyE/tlylDchoJij9impMDc8InHbpA6/QMUmzfkeqUnOoujP1TxGYRV2Xb6IzPLZXCm4drLbTSiT64sN9eRFFDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T13:56:04.805208Z"},"content_sha256":"a198d8a1f3b485da3801c48dab079cf5976ee0fb62e40cb98a80dbe922d16e3e","schema_version":"1.0","event_id":"sha256:a198d8a1f3b485da3801c48dab079cf5976ee0fb62e40cb98a80dbe922d16e3e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/3QFFPBOB34UCULO6RKI27TFSXM/bundle.json","state_url":"https://pith.science/pith/3QFFPBOB34UCULO6RKI27TFSXM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/3QFFPBOB34UCULO6RKI27TFSXM/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":"2026-08-09T13:56:04Z","links":{"resolver":"https://pith.science/pith/3QFFPBOB34UCULO6RKI27TFSXM","bundle":"https://pith.science/pith/3QFFPBOB34UCULO6RKI27TFSXM/bundle.json","state":"https://pith.science/pith/3QFFPBOB34UCULO6RKI27TFSXM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/3QFFPBOB34UCULO6RKI27TFSXM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:1995:3QFFPBOB34UCULO6RKI27TFSXM","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":"fe18dd7592109143c90cef7879b0742207f01ceb116bc8660390487bdf0e62d1","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1995-08-27T14:05:57Z","title_canon_sha256":"dbbc8ba2c6651dd40d98b0897fe501f7a4e7a9ea8d419638ec78a89d6c80d067"},"schema_version":"1.0","source":{"id":"hep-ph/9508377","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/9508377","created_at":"2026-07-04T15:59:12Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/9508377v1","created_at":"2026-07-04T15:59:12Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/9508377","created_at":"2026-07-04T15:59:12Z"},{"alias_kind":"pith_short_12","alias_value":"3QFFPBOB34UC","created_at":"2026-07-04T15:59:12Z"},{"alias_kind":"pith_short_16","alias_value":"3QFFPBOB34UCULO6","created_at":"2026-07-04T15:59:12Z"},{"alias_kind":"pith_short_8","alias_value":"3QFFPBOB","created_at":"2026-07-04T15:59:12Z"}],"graph_snapshots":[{"event_id":"sha256:a198d8a1f3b485da3801c48dab079cf5976ee0fb62e40cb98a80dbe922d16e3e","target":"graph","created_at":"2026-07-04T15:59:12Z","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/hep-ph/9508377/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We derive a full Bern-Kosower-type rule for scalar QED starting from quantum field theory: we derive a set of rules for calculating $S$-matrix elements for any processes at any order of the coupling constant. Gauge-invariant set of diagrams in general is first written in the worldline path-integral expression. Then we integrate over $x(\\tau)$, and the resulting expression is given in terms of correlation function on the worldline $\\left< x(\\tau) x(\\tau') \\right>$. Simple rules to decompose the correlation function into basic elements are obtained. Gauge transformation known as integration by p","authors_text":"Japan), K.Daikouji, M.Shino, Sendai, Tohoku University, Y.Sumino (Department of Physics","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"1995-08-27T14:05:57Z","title":"Bern-Kosower Rule for Scalar QED"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/9508377","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":"sha256:63ec39c9189104e1501c1fa02f506c0a4065ab7b8d5813b8c388f01a5b86a0e0","target":"record","created_at":"2026-07-04T15:59:12Z","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":"fe18dd7592109143c90cef7879b0742207f01ceb116bc8660390487bdf0e62d1","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"1995-08-27T14:05:57Z","title_canon_sha256":"dbbc8ba2c6651dd40d98b0897fe501f7a4e7a9ea8d419638ec78a89d6c80d067"},"schema_version":"1.0","source":{"id":"hep-ph/9508377","kind":"arxiv","version":1}},"canonical_sha256":"dc0a5785c1df282a2dde8a91afccb2bb07d70d1a9be2f026cccd86342f024579","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dc0a5785c1df282a2dde8a91afccb2bb07d70d1a9be2f026cccd86342f024579","first_computed_at":"2026-07-04T15:59:12.753427Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:59:12.753427Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"AOUKWFIYGIxhh8tNpoh7l569asu2cG4FdyheVQF9M/8KGp/aR7Qt50Ih3QFh32lGpxhH6PmtkYHgh50t/IrCBA==","signature_status":"signed_v1","signed_at":"2026-07-04T15:59:12.753806Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/9508377","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:63ec39c9189104e1501c1fa02f506c0a4065ab7b8d5813b8c388f01a5b86a0e0","sha256:a198d8a1f3b485da3801c48dab079cf5976ee0fb62e40cb98a80dbe922d16e3e"],"state_sha256":"c7264305a25514efe11704a7fc2c80afa1eb39e9c07d39590d5eb3d58e7be6d4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IGyMeoqhNoSJiaM9Jvptrlx2yR8feM5uPSKneabcjBe/9Ar7MMl09XHgLClwo9bjQ6dX5zUxJKQp4+QdFUE3AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T13:56:04.810753Z","bundle_sha256":"2cc2324be017a7d1278a8002ca86ad82a49bdce3b27510814c39bd419add0b5e"}}