{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:27DKNT4S7GED6PVTE3JLSLQTH7","short_pith_number":"pith:27DKNT4S","canonical_record":{"source":{"id":"1612.02797","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-12-08T20:28:29Z","cross_cats_sorted":[],"title_canon_sha256":"42a8671441727fc8bafd0d9c4040a038368c489c47a27c0e9e0c020d44dea28f","abstract_canon_sha256":"37e9e0f8e0d53745f5411b4aea699a52dc1eed196ffff02bcb495bbb3e4279ca"},"schema_version":"1.0"},"canonical_sha256":"d7c6a6cf92f9883f3eb326d2b92e133febfcb32bb78879b09db9c4838889fef5","source":{"kind":"arxiv","id":"1612.02797","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.02797","created_at":"2026-05-18T00:13:32Z"},{"alias_kind":"arxiv_version","alias_value":"1612.02797v1","created_at":"2026-05-18T00:13:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.02797","created_at":"2026-05-18T00:13:32Z"},{"alias_kind":"pith_short_12","alias_value":"27DKNT4S7GED","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"27DKNT4S7GED6PVT","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"27DKNT4S","created_at":"2026-05-18T12:29:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:27DKNT4S7GED6PVTE3JLSLQTH7","target":"record","payload":{"canonical_record":{"source":{"id":"1612.02797","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-12-08T20:28:29Z","cross_cats_sorted":[],"title_canon_sha256":"42a8671441727fc8bafd0d9c4040a038368c489c47a27c0e9e0c020d44dea28f","abstract_canon_sha256":"37e9e0f8e0d53745f5411b4aea699a52dc1eed196ffff02bcb495bbb3e4279ca"},"schema_version":"1.0"},"canonical_sha256":"d7c6a6cf92f9883f3eb326d2b92e133febfcb32bb78879b09db9c4838889fef5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:13:32.908720Z","signature_b64":"xxGX0OetN8maXqJ7FGcyhzetKtDkkCKk47koyL+SSH+bw8ZBC9THvEYFHkofFh0rMYkE3IZ+/oPxEf//ZpeCAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d7c6a6cf92f9883f3eb326d2b92e133febfcb32bb78879b09db9c4838889fef5","last_reissued_at":"2026-05-18T00:13:32.908165Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:13:32.908165Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1612.02797","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":"2026-05-18T00:13:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yjGRgmDxhBn2K44mN3GLaH3YZc4Xn5SEy/TAdjFPP/W0enUOqA2d0IodYWg3VaSDuZ/0MFu81w1GKG8pTDG4BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:18:33.929510Z"},"content_sha256":"3bcf2c5872832b69bec76134d2878898c815ee76e383b0401c49a15584691225","schema_version":"1.0","event_id":"sha256:3bcf2c5872832b69bec76134d2878898c815ee76e383b0401c49a15584691225"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:27DKNT4S7GED6PVTE3JLSLQTH7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Locality and Unitarity from Singularities and Gauge Invariance","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Jaroslav Trnka, Laurentiu Rodina, Nima Arkani-Hamed","submitted_at":"2016-12-08T20:28:29Z","abstract_excerpt":"We conjecture that the leading two-derivative tree-level amplitudes for gluons and gravitons can be derived from gauge invariance together with mild assumptions on their singularity structure. Assuming locality (that the singularities are associated with the poles of cubic graphs), we prove that gauge-invariance in just (n-1) particles together with minimal power-counting uniquely fixes the amplitude. Unitarity in the form of factorization then follows from locality and gauge invariance. We also give evidence for a stronger conjecture: assuming only that singularities occur when the sum of a s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.02797","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":"2026-05-18T00:13:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"qacLfkNXJbz53L3MGo/wEtt0f4Zqc6Hrej15Z6KmTfBMDz5kONuyr7N1fDafLjIcpeiPaenkAXq1N8PpUaZbCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T17:18:33.930180Z"},"content_sha256":"a7977d568f2462210861da933b7e028ec92898118d52de6a117f320cd4207c4d","schema_version":"1.0","event_id":"sha256:a7977d568f2462210861da933b7e028ec92898118d52de6a117f320cd4207c4d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/27DKNT4S7GED6PVTE3JLSLQTH7/bundle.json","state_url":"https://pith.science/pith/27DKNT4S7GED6PVTE3JLSLQTH7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/27DKNT4S7GED6PVTE3JLSLQTH7/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":"2026-05-25T17:18:33Z","links":{"resolver":"https://pith.science/pith/27DKNT4S7GED6PVTE3JLSLQTH7","bundle":"https://pith.science/pith/27DKNT4S7GED6PVTE3JLSLQTH7/bundle.json","state":"https://pith.science/pith/27DKNT4S7GED6PVTE3JLSLQTH7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/27DKNT4S7GED6PVTE3JLSLQTH7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:27DKNT4S7GED6PVTE3JLSLQTH7","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":"37e9e0f8e0d53745f5411b4aea699a52dc1eed196ffff02bcb495bbb3e4279ca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-12-08T20:28:29Z","title_canon_sha256":"42a8671441727fc8bafd0d9c4040a038368c489c47a27c0e9e0c020d44dea28f"},"schema_version":"1.0","source":{"id":"1612.02797","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1612.02797","created_at":"2026-05-18T00:13:32Z"},{"alias_kind":"arxiv_version","alias_value":"1612.02797v1","created_at":"2026-05-18T00:13:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1612.02797","created_at":"2026-05-18T00:13:32Z"},{"alias_kind":"pith_short_12","alias_value":"27DKNT4S7GED","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_16","alias_value":"27DKNT4S7GED6PVT","created_at":"2026-05-18T12:29:52Z"},{"alias_kind":"pith_short_8","alias_value":"27DKNT4S","created_at":"2026-05-18T12:29:52Z"}],"graph_snapshots":[{"event_id":"sha256:a7977d568f2462210861da933b7e028ec92898118d52de6a117f320cd4207c4d","target":"graph","created_at":"2026-05-18T00:13:32Z","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":"We conjecture that the leading two-derivative tree-level amplitudes for gluons and gravitons can be derived from gauge invariance together with mild assumptions on their singularity structure. Assuming locality (that the singularities are associated with the poles of cubic graphs), we prove that gauge-invariance in just (n-1) particles together with minimal power-counting uniquely fixes the amplitude. Unitarity in the form of factorization then follows from locality and gauge invariance. We also give evidence for a stronger conjecture: assuming only that singularities occur when the sum of a s","authors_text":"Jaroslav Trnka, Laurentiu Rodina, Nima Arkani-Hamed","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-12-08T20:28:29Z","title":"Locality and Unitarity from Singularities and Gauge Invariance"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1612.02797","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":"sha256:3bcf2c5872832b69bec76134d2878898c815ee76e383b0401c49a15584691225","target":"record","created_at":"2026-05-18T00:13:32Z","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":"37e9e0f8e0d53745f5411b4aea699a52dc1eed196ffff02bcb495bbb3e4279ca","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-12-08T20:28:29Z","title_canon_sha256":"42a8671441727fc8bafd0d9c4040a038368c489c47a27c0e9e0c020d44dea28f"},"schema_version":"1.0","source":{"id":"1612.02797","kind":"arxiv","version":1}},"canonical_sha256":"d7c6a6cf92f9883f3eb326d2b92e133febfcb32bb78879b09db9c4838889fef5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d7c6a6cf92f9883f3eb326d2b92e133febfcb32bb78879b09db9c4838889fef5","first_computed_at":"2026-05-18T00:13:32.908165Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:13:32.908165Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xxGX0OetN8maXqJ7FGcyhzetKtDkkCKk47koyL+SSH+bw8ZBC9THvEYFHkofFh0rMYkE3IZ+/oPxEf//ZpeCAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:13:32.908720Z","signed_message":"canonical_sha256_bytes"},"source_id":"1612.02797","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:3bcf2c5872832b69bec76134d2878898c815ee76e383b0401c49a15584691225","sha256:a7977d568f2462210861da933b7e028ec92898118d52de6a117f320cd4207c4d"],"state_sha256":"7309f7b348d4b2a3086751f9f4555e2aef2fcb0d376e0c83c8d208c720cd7691"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"asmmUZSb9Y/vhG63BGKVvC3tSE6/aB8ZQpXNbdNasYgHgJ+GKeZMC7uDYhFsDhmGs5IoRHf4x2MYs17XAMrhDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T17:18:33.933696Z","bundle_sha256":"5504e6d31ffd9c2108f560025be6c6665fb7b192a764aa7774ea385518f72b23"}}