{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:7WVXWOQKF23NUJE7AA3XC5T5RZ","short_pith_number":"pith:7WVXWOQK","canonical_record":{"source":{"id":"1507.02167","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-07-08T14:21:53Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"a591521e4a27ba33234d7a04b933d098270b2a1691d3f84ca65e39856739fd7e","abstract_canon_sha256":"cf2755aba8a4b0134bafd216b88033f257518857a7bb32dda8dbb1b8dbf6f3b0"},"schema_version":"1.0"},"canonical_sha256":"fdab7b3a0a2eb6da249f003771767d8e6a52110781332e3bb7f92e857890e681","source":{"kind":"arxiv","id":"1507.02167","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.02167","created_at":"2026-05-18T01:20:36Z"},{"alias_kind":"arxiv_version","alias_value":"1507.02167v1","created_at":"2026-05-18T01:20:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.02167","created_at":"2026-05-18T01:20:36Z"},{"alias_kind":"pith_short_12","alias_value":"7WVXWOQKF23N","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7WVXWOQKF23NUJE7","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7WVXWOQK","created_at":"2026-05-18T12:29:10Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:7WVXWOQKF23NUJE7AA3XC5T5RZ","target":"record","payload":{"canonical_record":{"source":{"id":"1507.02167","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-07-08T14:21:53Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"a591521e4a27ba33234d7a04b933d098270b2a1691d3f84ca65e39856739fd7e","abstract_canon_sha256":"cf2755aba8a4b0134bafd216b88033f257518857a7bb32dda8dbb1b8dbf6f3b0"},"schema_version":"1.0"},"canonical_sha256":"fdab7b3a0a2eb6da249f003771767d8e6a52110781332e3bb7f92e857890e681","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:20:36.274549Z","signature_b64":"KJNuh3FwbdN0ZXoD0DbA7gLuLfwrw4ieoNC77jK2dGCBDUcAORhx+B1czJ4mBah9SFgsHgc3LasKMDxs4zLvCA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"fdab7b3a0a2eb6da249f003771767d8e6a52110781332e3bb7f92e857890e681","last_reissued_at":"2026-05-18T01:20:36.273984Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:20:36.273984Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1507.02167","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":"2026-05-18T01:20:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"AHaZMwegScYHyZDju7EJINbGtZZCFvkUu78WXPz6huwnUEkFgQX5+EbSRZu78Nx2jw8saDI9rUGBemRNydwnCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T10:40:09.840469Z"},"content_sha256":"55328943c4dc5809aa4ed246d1c741b8b7c1ca7417c129ca1b79ae4cb4e35062","schema_version":"1.0","event_id":"sha256:55328943c4dc5809aa4ed246d1c741b8b7c1ca7417c129ca1b79ae4cb4e35062"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:7WVXWOQKF23NUJE7AA3XC5T5RZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"An Introduction to Webs","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"C. D. White","submitted_at":"2015-07-08T14:21:53Z","abstract_excerpt":"Webs are sets of Feynman diagrams that contribute to the exponents of scattering amplitudes, in the kinematic limit in which emitted radiation is soft. As such, they have a number of phenomenological and formal applications, and offer tantalising glimpses into the all-order structure of perturbative quantum field theory. This article is based on a series of lectures given to graduate students, and aims to provide a pedagogical introduction to webs. Topics covered include exponentiation in (non-)abelian gauge theories, the web mixing matrix formalism for non-abelian gauge theories, and recent p"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.02167","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":""},"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":"2026-05-18T01:20:36Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t688hwAoAm3J67VV8Kyb5MUBTOpIPk3zcecmxJ+t06yfMFYqUBKV188l3qdxnk8KhAavLc/YvqtONCcbAKtbAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T10:40:09.841163Z"},"content_sha256":"323819eb59224ce8211f53942038063c7ee85dc9546f8b53483d59037da1747d","schema_version":"1.0","event_id":"sha256:323819eb59224ce8211f53942038063c7ee85dc9546f8b53483d59037da1747d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/7WVXWOQKF23NUJE7AA3XC5T5RZ/bundle.json","state_url":"https://pith.science/pith/7WVXWOQKF23NUJE7AA3XC5T5RZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/7WVXWOQKF23NUJE7AA3XC5T5RZ/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":"2026-06-11T10:40:09Z","links":{"resolver":"https://pith.science/pith/7WVXWOQKF23NUJE7AA3XC5T5RZ","bundle":"https://pith.science/pith/7WVXWOQKF23NUJE7AA3XC5T5RZ/bundle.json","state":"https://pith.science/pith/7WVXWOQKF23NUJE7AA3XC5T5RZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/7WVXWOQKF23NUJE7AA3XC5T5RZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:7WVXWOQKF23NUJE7AA3XC5T5RZ","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":"cf2755aba8a4b0134bafd216b88033f257518857a7bb32dda8dbb1b8dbf6f3b0","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-07-08T14:21:53Z","title_canon_sha256":"a591521e4a27ba33234d7a04b933d098270b2a1691d3f84ca65e39856739fd7e"},"schema_version":"1.0","source":{"id":"1507.02167","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.02167","created_at":"2026-05-18T01:20:36Z"},{"alias_kind":"arxiv_version","alias_value":"1507.02167v1","created_at":"2026-05-18T01:20:36Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.02167","created_at":"2026-05-18T01:20:36Z"},{"alias_kind":"pith_short_12","alias_value":"7WVXWOQKF23N","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_16","alias_value":"7WVXWOQKF23NUJE7","created_at":"2026-05-18T12:29:10Z"},{"alias_kind":"pith_short_8","alias_value":"7WVXWOQK","created_at":"2026-05-18T12:29:10Z"}],"graph_snapshots":[{"event_id":"sha256:323819eb59224ce8211f53942038063c7ee85dc9546f8b53483d59037da1747d","target":"graph","created_at":"2026-05-18T01:20:36Z","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"},"paper":{"abstract_excerpt":"Webs are sets of Feynman diagrams that contribute to the exponents of scattering amplitudes, in the kinematic limit in which emitted radiation is soft. As such, they have a number of phenomenological and formal applications, and offer tantalising glimpses into the all-order structure of perturbative quantum field theory. This article is based on a series of lectures given to graduate students, and aims to provide a pedagogical introduction to webs. Topics covered include exponentiation in (non-)abelian gauge theories, the web mixing matrix formalism for non-abelian gauge theories, and recent p","authors_text":"C. D. White","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-07-08T14:21:53Z","title":"An Introduction to Webs"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.02167","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":"sha256:55328943c4dc5809aa4ed246d1c741b8b7c1ca7417c129ca1b79ae4cb4e35062","target":"record","created_at":"2026-05-18T01:20:36Z","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":"cf2755aba8a4b0134bafd216b88033f257518857a7bb32dda8dbb1b8dbf6f3b0","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2015-07-08T14:21:53Z","title_canon_sha256":"a591521e4a27ba33234d7a04b933d098270b2a1691d3f84ca65e39856739fd7e"},"schema_version":"1.0","source":{"id":"1507.02167","kind":"arxiv","version":1}},"canonical_sha256":"fdab7b3a0a2eb6da249f003771767d8e6a52110781332e3bb7f92e857890e681","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"fdab7b3a0a2eb6da249f003771767d8e6a52110781332e3bb7f92e857890e681","first_computed_at":"2026-05-18T01:20:36.273984Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:20:36.273984Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KJNuh3FwbdN0ZXoD0DbA7gLuLfwrw4ieoNC77jK2dGCBDUcAORhx+B1czJ4mBah9SFgsHgc3LasKMDxs4zLvCA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:20:36.274549Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.02167","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:55328943c4dc5809aa4ed246d1c741b8b7c1ca7417c129ca1b79ae4cb4e35062","sha256:323819eb59224ce8211f53942038063c7ee85dc9546f8b53483d59037da1747d"],"state_sha256":"4877bf0bebffa474a799d4ae480d537b9c14a535df499e3d6046fbce1b351011"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"krqMd8S9yp1UxovqO7oAcn6eN4i67xoNjggJyc4acxbOtv2B1mGtm6mu7TiKImyA9vdwHzIrCJ3F5XqBzhdTCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T10:40:09.845030Z","bundle_sha256":"7018ef28971f2b8a77bd3f73ae5d4b31220a36b193561c259fc34877b42d7845"}}