{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:EHXZKVUNKHQBF3Q24DHPRQR5SG","short_pith_number":"pith:EHXZKVUN","canonical_record":{"source":{"id":"2607.27345","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-07-29T18:02:18Z","cross_cats_sorted":[],"title_canon_sha256":"5eceb7aff2ca9ce9ea615a58c78be0f36932d6f98b7db6d6d0600b4412a3a11f","abstract_canon_sha256":"aaefe5cf71b1a9abe7fbe7884028f3ab37be01623be5f39c263fea8496ef136a"},"schema_version":"1.0"},"canonical_sha256":"21ef95568d51e012ee1ae0cef8c23d91b78aa21d9f10b2095872a354ec898d9e","source":{"kind":"arxiv","id":"2607.27345","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.27345","created_at":"2026-07-31T00:10:43Z"},{"alias_kind":"arxiv_version","alias_value":"2607.27345v1","created_at":"2026-07-31T00:10:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.27345","created_at":"2026-07-31T00:10:43Z"},{"alias_kind":"pith_short_12","alias_value":"EHXZKVUNKHQB","created_at":"2026-07-31T00:10:43Z"},{"alias_kind":"pith_short_16","alias_value":"EHXZKVUNKHQBF3Q2","created_at":"2026-07-31T00:10:43Z"},{"alias_kind":"pith_short_8","alias_value":"EHXZKVUN","created_at":"2026-07-31T00:10:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:EHXZKVUNKHQBF3Q24DHPRQR5SG","target":"record","payload":{"canonical_record":{"source":{"id":"2607.27345","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-07-29T18:02:18Z","cross_cats_sorted":[],"title_canon_sha256":"5eceb7aff2ca9ce9ea615a58c78be0f36932d6f98b7db6d6d0600b4412a3a11f","abstract_canon_sha256":"aaefe5cf71b1a9abe7fbe7884028f3ab37be01623be5f39c263fea8496ef136a"},"schema_version":"1.0"},"canonical_sha256":"21ef95568d51e012ee1ae0cef8c23d91b78aa21d9f10b2095872a354ec898d9e","receipt":{"kind":"pith_receipt","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"21ef95568d51e012ee1ae0cef8c23d91b78aa21d9f10b2095872a354ec898d9e","last_reissued_at":"2026-07-31T00:10:43.047934Z","signature_status":"unsigned_v0","first_computed_at":"2026-07-31T00:10:43.047934Z"},"source_kind":"arxiv","source_id":"2607.27345","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":"2026-07-31T00:10:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"p9bJnYn6wG5hnwmdMtvShTFxpfNrXQNpFHWvcrPvtZyXhP7JN+u8RKMNPqMd47mhellhOn5Jug6oHJClk5AaCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T01:37:44.083871Z"},"content_sha256":"ef6037ed28895c2fa7b2243be049381753b7f917207315fd0b47004e8918d82d","schema_version":"1.0","event_id":"sha256:ef6037ed28895c2fa7b2243be049381753b7f917207315fd0b47004e8918d82d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:EHXZKVUNKHQBF3Q24DHPRQR5SG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"NLSM amplitudes from a quartic two-derivative theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Fan Zhu, Qu Cao, Zhenqi Han","submitted_at":"2026-07-29T18:02:18Z","abstract_excerpt":"We revisit the well-known nonlinear sigma model (NLSM), an effective field theory describing the scattering of $\\mathrm{SU}(N)$ Goldstone bosons and characterized by an infinite tower of two-derivative interactions. We introduce a local scalar Lagrangian involving two scalar fields $\\psi^\\pm$ carrying opposite \"polarities\", whose interacting part consists of a single polynomial quartic two-derivative operator, and prove that it reproduces planar NLSM amplitudes at all loop orders. This quartic two-derivative formulation reveals a previously hidden simplicity of the NLSM: its Feynman rules invo"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.27345","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/2607.27345/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":"2026-07-31T00:10:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"H9/O77uRExBR39GPb2gZ5bGFEjEWiV4H90fVhM/1FDXjVZB6KIVaPu2JACYoSHcCR8+O8/MRqpgTxyBSSrWnAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T01:37:44.084312Z"},"content_sha256":"2b71e6fdaf2c85d12697e69548d53cb4bde1b57a52c66085648e7420943bb1be","schema_version":"1.0","event_id":"sha256:2b71e6fdaf2c85d12697e69548d53cb4bde1b57a52c66085648e7420943bb1be"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/EHXZKVUNKHQBF3Q24DHPRQR5SG/bundle.json","state_url":"https://pith.science/pith/EHXZKVUNKHQBF3Q24DHPRQR5SG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/EHXZKVUNKHQBF3Q24DHPRQR5SG/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":"2026-08-15T01:37:44Z","links":{"resolver":"https://pith.science/pith/EHXZKVUNKHQBF3Q24DHPRQR5SG","bundle":"https://pith.science/pith/EHXZKVUNKHQBF3Q24DHPRQR5SG/bundle.json","state":"https://pith.science/pith/EHXZKVUNKHQBF3Q24DHPRQR5SG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/EHXZKVUNKHQBF3Q24DHPRQR5SG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:EHXZKVUNKHQBF3Q24DHPRQR5SG","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":"aaefe5cf71b1a9abe7fbe7884028f3ab37be01623be5f39c263fea8496ef136a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-07-29T18:02:18Z","title_canon_sha256":"5eceb7aff2ca9ce9ea615a58c78be0f36932d6f98b7db6d6d0600b4412a3a11f"},"schema_version":"1.0","source":{"id":"2607.27345","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2607.27345","created_at":"2026-07-31T00:10:43Z"},{"alias_kind":"arxiv_version","alias_value":"2607.27345v1","created_at":"2026-07-31T00:10:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2607.27345","created_at":"2026-07-31T00:10:43Z"},{"alias_kind":"pith_short_12","alias_value":"EHXZKVUNKHQB","created_at":"2026-07-31T00:10:43Z"},{"alias_kind":"pith_short_16","alias_value":"EHXZKVUNKHQBF3Q2","created_at":"2026-07-31T00:10:43Z"},{"alias_kind":"pith_short_8","alias_value":"EHXZKVUN","created_at":"2026-07-31T00:10:43Z"}],"graph_snapshots":[{"event_id":"sha256:2b71e6fdaf2c85d12697e69548d53cb4bde1b57a52c66085648e7420943bb1be","target":"graph","created_at":"2026-07-31T00:10:43Z","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/2607.27345/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We revisit the well-known nonlinear sigma model (NLSM), an effective field theory describing the scattering of $\\mathrm{SU}(N)$ Goldstone bosons and characterized by an infinite tower of two-derivative interactions. We introduce a local scalar Lagrangian involving two scalar fields $\\psi^\\pm$ carrying opposite \"polarities\", whose interacting part consists of a single polynomial quartic two-derivative operator, and prove that it reproduces planar NLSM amplitudes at all loop orders. This quartic two-derivative formulation reveals a previously hidden simplicity of the NLSM: its Feynman rules invo","authors_text":"Fan Zhu, Qu Cao, Zhenqi Han","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-07-29T18:02:18Z","title":"NLSM amplitudes from a quartic two-derivative theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2607.27345","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:ef6037ed28895c2fa7b2243be049381753b7f917207315fd0b47004e8918d82d","target":"record","created_at":"2026-07-31T00:10:43Z","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":"aaefe5cf71b1a9abe7fbe7884028f3ab37be01623be5f39c263fea8496ef136a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2026-07-29T18:02:18Z","title_canon_sha256":"5eceb7aff2ca9ce9ea615a58c78be0f36932d6f98b7db6d6d0600b4412a3a11f"},"schema_version":"1.0","source":{"id":"2607.27345","kind":"arxiv","version":1}},"canonical_sha256":"21ef95568d51e012ee1ae0cef8c23d91b78aa21d9f10b2095872a354ec898d9e","receipt":{"builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"21ef95568d51e012ee1ae0cef8c23d91b78aa21d9f10b2095872a354ec898d9e","first_computed_at":"2026-07-31T00:10:43.047934Z","kind":"pith_receipt","last_reissued_at":"2026-07-31T00:10:43.047934Z","receipt_version":"0.3","signature_status":"unsigned_v0"},"source_id":"2607.27345","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ef6037ed28895c2fa7b2243be049381753b7f917207315fd0b47004e8918d82d","sha256:2b71e6fdaf2c85d12697e69548d53cb4bde1b57a52c66085648e7420943bb1be"],"state_sha256":"86aa03d464344b061f3b97fbe54d013a053ac286b1efd3ff444be9d4e84ce293"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"o+3kOSASB8XCz2nBnmR1XGUWZZ9nYsXXBV6sik/pihnRElSECaZVn4mc5omw3fUW22gCE0fkzpcrsfymPIJVDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T01:37:44.088496Z","bundle_sha256":"a8eec759065b8b1738364bf7e68f2891adc270385592dd06248d259c6a05b15b"}}