{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:XST36FQRNXZSFGV7VTB4KSFZMZ","short_pith_number":"pith:XST36FQR","canonical_record":{"source":{"id":"0809.1099","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"hep-ph","submitted_at":"2008-09-07T14:33:27Z","cross_cats_sorted":[],"title_canon_sha256":"d18180a4967a77168094617a90014eb00e209042cd87ee23c03810ae0e0fa2e0","abstract_canon_sha256":"ebd2759bdf8e3d8421c4626c2af40758ec4e9664b9c1a12cfea5a6b358caec62"},"schema_version":"1.0"},"canonical_sha256":"bca7bf16116df3229abfacc3c548b96654ed739928ddf7d42b78fb83a323aba8","source":{"kind":"arxiv","id":"0809.1099","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0809.1099","created_at":"2026-07-04T15:14:08Z"},{"alias_kind":"arxiv_version","alias_value":"0809.1099v1","created_at":"2026-07-04T15:14:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0809.1099","created_at":"2026-07-04T15:14:08Z"},{"alias_kind":"pith_short_12","alias_value":"XST36FQRNXZS","created_at":"2026-07-04T15:14:08Z"},{"alias_kind":"pith_short_16","alias_value":"XST36FQRNXZSFGV7","created_at":"2026-07-04T15:14:08Z"},{"alias_kind":"pith_short_8","alias_value":"XST36FQR","created_at":"2026-07-04T15:14:08Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:XST36FQRNXZSFGV7VTB4KSFZMZ","target":"record","payload":{"canonical_record":{"source":{"id":"0809.1099","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"hep-ph","submitted_at":"2008-09-07T14:33:27Z","cross_cats_sorted":[],"title_canon_sha256":"d18180a4967a77168094617a90014eb00e209042cd87ee23c03810ae0e0fa2e0","abstract_canon_sha256":"ebd2759bdf8e3d8421c4626c2af40758ec4e9664b9c1a12cfea5a6b358caec62"},"schema_version":"1.0"},"canonical_sha256":"bca7bf16116df3229abfacc3c548b96654ed739928ddf7d42b78fb83a323aba8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:14:08.701678Z","signature_b64":"chqjGv8+vdcvgYJj0kOihK4iGhqw5d/6ZOT92jiu1AOAQ+aY6qtjD/rH74cZEjcp5sqfLBJyE7jKZV2xdj+/Bw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"bca7bf16116df3229abfacc3c548b96654ed739928ddf7d42b78fb83a323aba8","last_reissued_at":"2026-07-04T15:14:08.701332Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:14:08.701332Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0809.1099","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":"2026-07-04T15:14:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"bMX6SUturbOIsBzaaVJm+itSSbsHggvUfXkIosMwzOuKtT14fEVUB1cfk8pNArr2+ts+L+WL7v2CFmgkgtEwDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T13:28:54.585443Z"},"content_sha256":"61c5cfa5a18d4680f0fe61b84991671f351ae72a3eb510142f340bcb28c4b65e","schema_version":"1.0","event_id":"sha256:61c5cfa5a18d4680f0fe61b84991671f351ae72a3eb510142f340bcb28c4b65e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:XST36FQRNXZSFGV7VTB4KSFZMZ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On different ways to quantize Soft-Collinear Effective Theory","license":"http://creativecommons.org/licenses/publicdomain/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Christian W. Bauer, Grigory Ovanesyan, Oscar Cata","submitted_at":"2008-09-07T14:33:27Z","abstract_excerpt":"Collinear fields in soft collinear effective theory (SCET) can be made invariant under collinear gauge transformations by multiplying them with collinear Wilson lines. We discuss how we can quantize SCET directly in terms of these gauge invariant fields, allowing to directly calculate S matrix elements using the gauge invariant collinear fields. We also show how for each collinear direction SCET can be written in terms of fields whose interactions are given by the usual QCD Lagrangian, and how external operators coupling these different directions can be constructed."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0809.1099","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/0809.1099/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":"2026-07-04T15:14:08Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zlstqRoyZpW3b/95SXduOd9dJlyecL4VUd8hM4MvicW4x+CPUK9WDW4elyZNO0lu8msF+WZeCfHi3cv2YqR3BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T13:28:54.585831Z"},"content_sha256":"38b728c4ae3556304971bab00af4f8cff8921102b65922b938c48ee2cb0ce769","schema_version":"1.0","event_id":"sha256:38b728c4ae3556304971bab00af4f8cff8921102b65922b938c48ee2cb0ce769"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/XST36FQRNXZSFGV7VTB4KSFZMZ/bundle.json","state_url":"https://pith.science/pith/XST36FQRNXZSFGV7VTB4KSFZMZ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/XST36FQRNXZSFGV7VTB4KSFZMZ/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":"2026-08-17T13:28:54Z","links":{"resolver":"https://pith.science/pith/XST36FQRNXZSFGV7VTB4KSFZMZ","bundle":"https://pith.science/pith/XST36FQRNXZSFGV7VTB4KSFZMZ/bundle.json","state":"https://pith.science/pith/XST36FQRNXZSFGV7VTB4KSFZMZ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/XST36FQRNXZSFGV7VTB4KSFZMZ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:XST36FQRNXZSFGV7VTB4KSFZMZ","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":"ebd2759bdf8e3d8421c4626c2af40758ec4e9664b9c1a12cfea5a6b358caec62","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"hep-ph","submitted_at":"2008-09-07T14:33:27Z","title_canon_sha256":"d18180a4967a77168094617a90014eb00e209042cd87ee23c03810ae0e0fa2e0"},"schema_version":"1.0","source":{"id":"0809.1099","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0809.1099","created_at":"2026-07-04T15:14:08Z"},{"alias_kind":"arxiv_version","alias_value":"0809.1099v1","created_at":"2026-07-04T15:14:08Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0809.1099","created_at":"2026-07-04T15:14:08Z"},{"alias_kind":"pith_short_12","alias_value":"XST36FQRNXZS","created_at":"2026-07-04T15:14:08Z"},{"alias_kind":"pith_short_16","alias_value":"XST36FQRNXZSFGV7","created_at":"2026-07-04T15:14:08Z"},{"alias_kind":"pith_short_8","alias_value":"XST36FQR","created_at":"2026-07-04T15:14:08Z"}],"graph_snapshots":[{"event_id":"sha256:38b728c4ae3556304971bab00af4f8cff8921102b65922b938c48ee2cb0ce769","target":"graph","created_at":"2026-07-04T15:14:08Z","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/0809.1099/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Collinear fields in soft collinear effective theory (SCET) can be made invariant under collinear gauge transformations by multiplying them with collinear Wilson lines. We discuss how we can quantize SCET directly in terms of these gauge invariant fields, allowing to directly calculate S matrix elements using the gauge invariant collinear fields. We also show how for each collinear direction SCET can be written in terms of fields whose interactions are given by the usual QCD Lagrangian, and how external operators coupling these different directions can be constructed.","authors_text":"Christian W. Bauer, Grigory Ovanesyan, Oscar Cata","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"hep-ph","submitted_at":"2008-09-07T14:33:27Z","title":"On different ways to quantize Soft-Collinear Effective Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0809.1099","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":"sha256:61c5cfa5a18d4680f0fe61b84991671f351ae72a3eb510142f340bcb28c4b65e","target":"record","created_at":"2026-07-04T15:14:08Z","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":"ebd2759bdf8e3d8421c4626c2af40758ec4e9664b9c1a12cfea5a6b358caec62","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/publicdomain/","primary_cat":"hep-ph","submitted_at":"2008-09-07T14:33:27Z","title_canon_sha256":"d18180a4967a77168094617a90014eb00e209042cd87ee23c03810ae0e0fa2e0"},"schema_version":"1.0","source":{"id":"0809.1099","kind":"arxiv","version":1}},"canonical_sha256":"bca7bf16116df3229abfacc3c548b96654ed739928ddf7d42b78fb83a323aba8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"bca7bf16116df3229abfacc3c548b96654ed739928ddf7d42b78fb83a323aba8","first_computed_at":"2026-07-04T15:14:08.701332Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:14:08.701332Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"chqjGv8+vdcvgYJj0kOihK4iGhqw5d/6ZOT92jiu1AOAQ+aY6qtjD/rH74cZEjcp5sqfLBJyE7jKZV2xdj+/Bw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:14:08.701678Z","signed_message":"canonical_sha256_bytes"},"source_id":"0809.1099","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:61c5cfa5a18d4680f0fe61b84991671f351ae72a3eb510142f340bcb28c4b65e","sha256:38b728c4ae3556304971bab00af4f8cff8921102b65922b938c48ee2cb0ce769"],"state_sha256":"5f897646494f8f28d4a39e18cf9c480e328b440ebe54be75555ae2d79ce96aa5"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6ieNlGd9l+5OKBcvJApIUlhBseYnY2GFT4EK+BGk7E3y/G4JSXb40HWqp33ioHVRU54abshc1rcmGplzukl+BQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T13:28:54.588993Z","bundle_sha256":"f81cc0a925fe7d0e860950f9a60ed1f39b5368356feb19f7f33a3e4fcb414388"}}