{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2012:32QJLBEMN7EOG66MPFCMSJGTO5","short_pith_number":"pith:32QJLBEM","canonical_record":{"source":{"id":"1212.0850","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-04T20:58:32Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"5c54474363ea48430dda843f65c0daa84ca4e93496db428afd4d461bf29fd731","abstract_canon_sha256":"7884f8220755e3a95f07eca4ed18d37fd1f8136ac9c279bdc76610080955961a"},"schema_version":"1.0"},"canonical_sha256":"dea095848c6fc8e37bcc7944c924d3776aab82ccc396152615d97d433dd2ca63","source":{"kind":"arxiv","id":"1212.0850","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.0850","created_at":"2026-05-18T03:29:50Z"},{"alias_kind":"arxiv_version","alias_value":"1212.0850v2","created_at":"2026-05-18T03:29:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.0850","created_at":"2026-05-18T03:29:50Z"},{"alias_kind":"pith_short_12","alias_value":"32QJLBEMN7EO","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"32QJLBEMN7EOG66M","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"32QJLBEM","created_at":"2026-05-18T12:26:50Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2012:32QJLBEMN7EOG66MPFCMSJGTO5","target":"record","payload":{"canonical_record":{"source":{"id":"1212.0850","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-04T20:58:32Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"5c54474363ea48430dda843f65c0daa84ca4e93496db428afd4d461bf29fd731","abstract_canon_sha256":"7884f8220755e3a95f07eca4ed18d37fd1f8136ac9c279bdc76610080955961a"},"schema_version":"1.0"},"canonical_sha256":"dea095848c6fc8e37bcc7944c924d3776aab82ccc396152615d97d433dd2ca63","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:29:50.459402Z","signature_b64":"GCcUrCWr96SKKTVwCkmDpJVQHvXf20Ot2m3feQtT8rwlSAVdVLC30C7h1xecbPm5aFU40N9DOu1WOmzOLVZRDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"dea095848c6fc8e37bcc7944c924d3776aab82ccc396152615d97d433dd2ca63","last_reissued_at":"2026-05-18T03:29:50.458634Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:29:50.458634Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1212.0850","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":"2026-05-18T03:29:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7lqG7kWQzBV/mF4QkURbcUMZFlMbyJcvZwWd75kb09PltmGgQbKBVQkFZgP7xCooBFDTbHqtq4mG4SqVVsc/Cg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:14:26.613370Z"},"content_sha256":"aab8bdf94205974842c2576b27605da73f3f2f4fd26e77fdf0e467dab39ff6cc","schema_version":"1.0","event_id":"sha256:aab8bdf94205974842c2576b27605da73f3f2f4fd26e77fdf0e467dab39ff6cc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2012:32QJLBEMN7EOG66MPFCMSJGTO5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Harmonic R-matrices for Scattering Amplitudes and Spectral Regularization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Carlo Meneghelli, Jan Plefka, Livia Ferro, Matthias Staudacher, Tomasz Lukowski","submitted_at":"2012-12-04T20:58:32Z","abstract_excerpt":"Planar N=4 super Yang-Mills appears to be integrable. While this allows to find this theory's exact spectrum, integrability has hitherto been of no direct use for scattering amplitudes. To remedy this, we deform all scattering amplitudes by a spectral parameter. The deformed tree-level four-point function turns out to be essentially the one-loop R-matrix of the integrable N=4 spin chain satisfying the Yang-Baxter equation. Deformed on-shell three-point functions yield novel three-leg R-matrices satisfying bootstrap equations. Finally, we supply initial evidence that the spectral parameter migh"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.0850","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":""},"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":"2026-05-18T03:29:50Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"MYn/VPcFPoc4S4pQ8zSVOTl5sRZXmmjZakTvvhsad66VqiTUUbsUd54SRWbbk/rfgqR45hsW7cZrpsphfdEgDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T19:14:26.613991Z"},"content_sha256":"59502cf99e81d32222bbdf26656c09576bb327044b44c45146c21e90239db430","schema_version":"1.0","event_id":"sha256:59502cf99e81d32222bbdf26656c09576bb327044b44c45146c21e90239db430"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/32QJLBEMN7EOG66MPFCMSJGTO5/bundle.json","state_url":"https://pith.science/pith/32QJLBEMN7EOG66MPFCMSJGTO5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/32QJLBEMN7EOG66MPFCMSJGTO5/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":"2026-05-25T19:14:26Z","links":{"resolver":"https://pith.science/pith/32QJLBEMN7EOG66MPFCMSJGTO5","bundle":"https://pith.science/pith/32QJLBEMN7EOG66MPFCMSJGTO5/bundle.json","state":"https://pith.science/pith/32QJLBEMN7EOG66MPFCMSJGTO5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/32QJLBEMN7EOG66MPFCMSJGTO5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2012:32QJLBEMN7EOG66MPFCMSJGTO5","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":"7884f8220755e3a95f07eca4ed18d37fd1f8136ac9c279bdc76610080955961a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-04T20:58:32Z","title_canon_sha256":"5c54474363ea48430dda843f65c0daa84ca4e93496db428afd4d461bf29fd731"},"schema_version":"1.0","source":{"id":"1212.0850","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1212.0850","created_at":"2026-05-18T03:29:50Z"},{"alias_kind":"arxiv_version","alias_value":"1212.0850v2","created_at":"2026-05-18T03:29:50Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1212.0850","created_at":"2026-05-18T03:29:50Z"},{"alias_kind":"pith_short_12","alias_value":"32QJLBEMN7EO","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_16","alias_value":"32QJLBEMN7EOG66M","created_at":"2026-05-18T12:26:50Z"},{"alias_kind":"pith_short_8","alias_value":"32QJLBEM","created_at":"2026-05-18T12:26:50Z"}],"graph_snapshots":[{"event_id":"sha256:59502cf99e81d32222bbdf26656c09576bb327044b44c45146c21e90239db430","target":"graph","created_at":"2026-05-18T03:29:50Z","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":"Planar N=4 super Yang-Mills appears to be integrable. While this allows to find this theory's exact spectrum, integrability has hitherto been of no direct use for scattering amplitudes. To remedy this, we deform all scattering amplitudes by a spectral parameter. The deformed tree-level four-point function turns out to be essentially the one-loop R-matrix of the integrable N=4 spin chain satisfying the Yang-Baxter equation. Deformed on-shell three-point functions yield novel three-leg R-matrices satisfying bootstrap equations. Finally, we supply initial evidence that the spectral parameter migh","authors_text":"Carlo Meneghelli, Jan Plefka, Livia Ferro, Matthias Staudacher, Tomasz Lukowski","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-04T20:58:32Z","title":"Harmonic R-matrices for Scattering Amplitudes and Spectral Regularization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1212.0850","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:aab8bdf94205974842c2576b27605da73f3f2f4fd26e77fdf0e467dab39ff6cc","target":"record","created_at":"2026-05-18T03:29:50Z","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":"7884f8220755e3a95f07eca4ed18d37fd1f8136ac9c279bdc76610080955961a","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2012-12-04T20:58:32Z","title_canon_sha256":"5c54474363ea48430dda843f65c0daa84ca4e93496db428afd4d461bf29fd731"},"schema_version":"1.0","source":{"id":"1212.0850","kind":"arxiv","version":2}},"canonical_sha256":"dea095848c6fc8e37bcc7944c924d3776aab82ccc396152615d97d433dd2ca63","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"dea095848c6fc8e37bcc7944c924d3776aab82ccc396152615d97d433dd2ca63","first_computed_at":"2026-05-18T03:29:50.458634Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:29:50.458634Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"GCcUrCWr96SKKTVwCkmDpJVQHvXf20Ot2m3feQtT8rwlSAVdVLC30C7h1xecbPm5aFU40N9DOu1WOmzOLVZRDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:29:50.459402Z","signed_message":"canonical_sha256_bytes"},"source_id":"1212.0850","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aab8bdf94205974842c2576b27605da73f3f2f4fd26e77fdf0e467dab39ff6cc","sha256:59502cf99e81d32222bbdf26656c09576bb327044b44c45146c21e90239db430"],"state_sha256":"4593ddad82516c8415a01a02a0991afefde0f350d14b0d5aaaf3906ba0b3c715"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LqaeptAa16AWbDZFrkR9vhISyEikOcBmkR8jLmYrf4iCCx8HvzD/lVC3kSBTqW42Y85hj1RkfrfdKu8fPoL5CQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T19:14:26.618142Z","bundle_sha256":"d4384b8970da0f4567b588afd991c8b0997685882b96811bfd4d85317a4fe271"}}