{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:ZFI62WEU3MD24DZUEZIDFQZFMB","short_pith_number":"pith:ZFI62WEU","canonical_record":{"source":{"id":"2409.12895","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-09-19T16:33:44Z","cross_cats_sorted":[],"title_canon_sha256":"166314f90564c22ce51cc0e129ce15e2ddbf13330e055c9326034402671e5844","abstract_canon_sha256":"65c3da54a324cfa3cce8026e3c42cab34d36df56a5399309db4cca96794e39e0"},"schema_version":"1.0"},"canonical_sha256":"c951ed5894db07ae0f34265032c325605d2e2c0217633ea98d1f242dbb0055df","source":{"kind":"arxiv","id":"2409.12895","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.12895","created_at":"2026-07-05T10:57:54Z"},{"alias_kind":"arxiv_version","alias_value":"2409.12895v2","created_at":"2026-07-05T10:57:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.12895","created_at":"2026-07-05T10:57:54Z"},{"alias_kind":"pith_short_12","alias_value":"ZFI62WEU3MD2","created_at":"2026-07-05T10:57:54Z"},{"alias_kind":"pith_short_16","alias_value":"ZFI62WEU3MD24DZU","created_at":"2026-07-05T10:57:54Z"},{"alias_kind":"pith_short_8","alias_value":"ZFI62WEU","created_at":"2026-07-05T10:57:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:ZFI62WEU3MD24DZUEZIDFQZFMB","target":"record","payload":{"canonical_record":{"source":{"id":"2409.12895","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-09-19T16:33:44Z","cross_cats_sorted":[],"title_canon_sha256":"166314f90564c22ce51cc0e129ce15e2ddbf13330e055c9326034402671e5844","abstract_canon_sha256":"65c3da54a324cfa3cce8026e3c42cab34d36df56a5399309db4cca96794e39e0"},"schema_version":"1.0"},"canonical_sha256":"c951ed5894db07ae0f34265032c325605d2e2c0217633ea98d1f242dbb0055df","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:57:54.084112Z","signature_b64":"/mNnJmzFFnZHWGzjTaBWZ7YW2qxJDoPVwwes5WzymnSDKOVJZbg5UHozjpm/khP05BJFwq5pcNB7OAVkuSw4Bg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c951ed5894db07ae0f34265032c325605d2e2c0217633ea98d1f242dbb0055df","last_reissued_at":"2026-07-05T10:57:54.083619Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:57:54.083619Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2409.12895","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":"2026-07-05T10:57:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gCq9lCVYoqb1e2/1/zw8k+6S/rKR1q+OyupdZ9byNyM/+j42tIeWrOmaHabKdqslyVx7PUweK8v4RrBzQpNhAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T13:08:56.376067Z"},"content_sha256":"2891fff8729a5ff517cb7a4aaa84bea9f61b6b8edcb4c1871581775ccfa6a64a","schema_version":"1.0","event_id":"sha256:2891fff8729a5ff517cb7a4aaa84bea9f61b6b8edcb4c1871581775ccfa6a64a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:ZFI62WEU3MD24DZUEZIDFQZFMB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Worldline Proof of Eikonal Exponentiation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Diana Vaman, Ravisankar Rajagopal, Siddarth Ajith, Yuchen Du","submitted_at":"2024-09-19T16:33:44Z","abstract_excerpt":"In this paper, working in the eikonal approximation, we present a proof for the exponentiation of the 2-body eikonal phase to {\\it all orders in the eikonal expansion}, for scalar particles interacting electromagnetically or gravitationally. The proof is based on the worldline formalism, which is an alternative, first quantized method to the standard QFT calculation of the scattering amplitude. We show that in the worldline formalism the 2-body scattering amplitude written in impact parameter space naturally factorizes at each loop order. This factorization is responsible for the exponentiatio"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.12895","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/2409.12895/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":"2026-07-05T10:57:54Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wr/J/qnryH9SxSBCzo00/AZl9AKzaxvqrw+0iOzeMnjMsuhCBHzK6Z7cD2SqUX1IaCyF6hHiE7HleWefcBOJCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-09T13:08:56.376687Z"},"content_sha256":"f2a9f81c2ff0ae9c8a91e179d2b8a76ee7390204080dc16d6c3d884cc6d37634","schema_version":"1.0","event_id":"sha256:f2a9f81c2ff0ae9c8a91e179d2b8a76ee7390204080dc16d6c3d884cc6d37634"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ZFI62WEU3MD24DZUEZIDFQZFMB/bundle.json","state_url":"https://pith.science/pith/ZFI62WEU3MD24DZUEZIDFQZFMB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ZFI62WEU3MD24DZUEZIDFQZFMB/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":"2026-08-09T13:08:56Z","links":{"resolver":"https://pith.science/pith/ZFI62WEU3MD24DZUEZIDFQZFMB","bundle":"https://pith.science/pith/ZFI62WEU3MD24DZUEZIDFQZFMB/bundle.json","state":"https://pith.science/pith/ZFI62WEU3MD24DZUEZIDFQZFMB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ZFI62WEU3MD24DZUEZIDFQZFMB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:ZFI62WEU3MD24DZUEZIDFQZFMB","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":"65c3da54a324cfa3cce8026e3c42cab34d36df56a5399309db4cca96794e39e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-09-19T16:33:44Z","title_canon_sha256":"166314f90564c22ce51cc0e129ce15e2ddbf13330e055c9326034402671e5844"},"schema_version":"1.0","source":{"id":"2409.12895","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2409.12895","created_at":"2026-07-05T10:57:54Z"},{"alias_kind":"arxiv_version","alias_value":"2409.12895v2","created_at":"2026-07-05T10:57:54Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2409.12895","created_at":"2026-07-05T10:57:54Z"},{"alias_kind":"pith_short_12","alias_value":"ZFI62WEU3MD2","created_at":"2026-07-05T10:57:54Z"},{"alias_kind":"pith_short_16","alias_value":"ZFI62WEU3MD24DZU","created_at":"2026-07-05T10:57:54Z"},{"alias_kind":"pith_short_8","alias_value":"ZFI62WEU","created_at":"2026-07-05T10:57:54Z"}],"graph_snapshots":[{"event_id":"sha256:f2a9f81c2ff0ae9c8a91e179d2b8a76ee7390204080dc16d6c3d884cc6d37634","target":"graph","created_at":"2026-07-05T10:57:54Z","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/2409.12895/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"In this paper, working in the eikonal approximation, we present a proof for the exponentiation of the 2-body eikonal phase to {\\it all orders in the eikonal expansion}, for scalar particles interacting electromagnetically or gravitationally. The proof is based on the worldline formalism, which is an alternative, first quantized method to the standard QFT calculation of the scattering amplitude. We show that in the worldline formalism the 2-body scattering amplitude written in impact parameter space naturally factorizes at each loop order. This factorization is responsible for the exponentiatio","authors_text":"Diana Vaman, Ravisankar Rajagopal, Siddarth Ajith, Yuchen Du","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-09-19T16:33:44Z","title":"Worldline Proof of Eikonal Exponentiation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2409.12895","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":"sha256:2891fff8729a5ff517cb7a4aaa84bea9f61b6b8edcb4c1871581775ccfa6a64a","target":"record","created_at":"2026-07-05T10:57:54Z","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":"65c3da54a324cfa3cce8026e3c42cab34d36df56a5399309db4cca96794e39e0","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2024-09-19T16:33:44Z","title_canon_sha256":"166314f90564c22ce51cc0e129ce15e2ddbf13330e055c9326034402671e5844"},"schema_version":"1.0","source":{"id":"2409.12895","kind":"arxiv","version":2}},"canonical_sha256":"c951ed5894db07ae0f34265032c325605d2e2c0217633ea98d1f242dbb0055df","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c951ed5894db07ae0f34265032c325605d2e2c0217633ea98d1f242dbb0055df","first_computed_at":"2026-07-05T10:57:54.083619Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:57:54.083619Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/mNnJmzFFnZHWGzjTaBWZ7YW2qxJDoPVwwes5WzymnSDKOVJZbg5UHozjpm/khP05BJFwq5pcNB7OAVkuSw4Bg==","signature_status":"signed_v1","signed_at":"2026-07-05T10:57:54.084112Z","signed_message":"canonical_sha256_bytes"},"source_id":"2409.12895","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:2891fff8729a5ff517cb7a4aaa84bea9f61b6b8edcb4c1871581775ccfa6a64a","sha256:f2a9f81c2ff0ae9c8a91e179d2b8a76ee7390204080dc16d6c3d884cc6d37634"],"state_sha256":"f750c95b10f144b6090d5a2ddbf1593f01cab478576db13b9f09f3ab97233151"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qYE2woxUflZeaL2sc+lvZghnxiMTzdCOvOtFCA7SmD4/QTVzI2cVviyD63exToADMlNqvJiAnriJwDbu+dayCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-09T13:08:56.384950Z","bundle_sha256":"8e52f5f37b80f6e2ae5ac604665c51cc809a87ddae4a532ef898ff5e52e31279"}}