{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:C3QACLHG4DMRUXOZXD64TDGAPR","short_pith_number":"pith:C3QACLHG","canonical_record":{"source":{"id":"2008.01112","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-08-03T18:03:29Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"a8d7b69858dda7abbbd99ac65e86a4f43f73bc8f0fd03b088c317ec14564dfa9","abstract_canon_sha256":"d5c682554c61a996a9b9baa583347e15effc1e7a5346d7da12457f7a25942eef"},"schema_version":"1.0"},"canonical_sha256":"16e0012ce6e0d91a5dd9b8fdc98cc07c66317127149f74cd85488e50cfca89aa","source":{"kind":"arxiv","id":"2008.01112","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2008.01112","created_at":"2026-07-05T01:56:03Z"},{"alias_kind":"arxiv_version","alias_value":"2008.01112v3","created_at":"2026-07-05T01:56:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.01112","created_at":"2026-07-05T01:56:03Z"},{"alias_kind":"pith_short_12","alias_value":"C3QACLHG4DMR","created_at":"2026-07-05T01:56:03Z"},{"alias_kind":"pith_short_16","alias_value":"C3QACLHG4DMRUXOZ","created_at":"2026-07-05T01:56:03Z"},{"alias_kind":"pith_short_8","alias_value":"C3QACLHG","created_at":"2026-07-05T01:56:03Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:C3QACLHG4DMRUXOZXD64TDGAPR","target":"record","payload":{"canonical_record":{"source":{"id":"2008.01112","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-08-03T18:03:29Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"a8d7b69858dda7abbbd99ac65e86a4f43f73bc8f0fd03b088c317ec14564dfa9","abstract_canon_sha256":"d5c682554c61a996a9b9baa583347e15effc1e7a5346d7da12457f7a25942eef"},"schema_version":"1.0"},"canonical_sha256":"16e0012ce6e0d91a5dd9b8fdc98cc07c66317127149f74cd85488e50cfca89aa","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:56:03.992333Z","signature_b64":"wFmW29yaqq56RmpxPhFnH5hTtB7uxn4YusYAjP6leDQj10zzQZ/gvBGZ4zGyxmOweSj2w4exPA4pA3lM9he3Aw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"16e0012ce6e0d91a5dd9b8fdc98cc07c66317127149f74cd85488e50cfca89aa","last_reissued_at":"2026-07-05T01:56:03.991868Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:56:03.991868Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2008.01112","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T01:56:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IxNrJivjbBA3OqwgQK1G4TcVlUIWSMdPHdS/c0gPapWgN11RhovuXuUYvC/2fU+Qk/sHfe1jp2R6rATQCth0CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T06:10:46.836807Z"},"content_sha256":"dcd41c19c5ca20f8bd219d43b50b6c61709af6eeab7b00934a748c9bc14818dc","schema_version":"1.0","event_id":"sha256:dcd41c19c5ca20f8bd219d43b50b6c61709af6eeab7b00934a748c9bc14818dc"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:C3QACLHG4DMRUXOZXD64TDGAPR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sigma models with local couplings: a new integrability -- RG flow connection","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"Arkady A. Tseytlin, Ben Hoare, Nat Levine","submitted_at":"2020-08-03T18:03:29Z","abstract_excerpt":"We consider several classes of $\\sigma$-models (on groups and symmetric spaces, $\\eta$-models, $\\lambda$-models) with local couplings that may depend on the 2d coordinates, e.g. on time $\\tau$. We observe that (i) starting with a classically integrable 2d $\\sigma$-model, (ii) formally promoting its couplings $h_\\alpha$ to functions $h_\\alpha(\\tau)$ of 2d time, and (iii) demanding that the resulting time-dependent model also admits a Lax connection implies that $h_\\alpha(\\tau)$ must solve the 1-loop RG equations of the original theory with $\\tau$ interpreted as RG time. This provides a novel ex"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.01112","kind":"arxiv","version":3},"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/2008.01112/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":"2026-07-05T01:56:03Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FbFs839EjACBGMlqWQBggbr/caJWFYVUvxMjSOjBnF54r6KNIfbcsbMpRzUeQ0sihhaS70PEJY3xJmzCev0oDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T06:10:46.837973Z"},"content_sha256":"c4c38f7bf2fd11effa15b838e3108c92f709aca326b439810a225df6db72c92e","schema_version":"1.0","event_id":"sha256:c4c38f7bf2fd11effa15b838e3108c92f709aca326b439810a225df6db72c92e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C3QACLHG4DMRUXOZXD64TDGAPR/bundle.json","state_url":"https://pith.science/pith/C3QACLHG4DMRUXOZXD64TDGAPR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C3QACLHG4DMRUXOZXD64TDGAPR/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":"2026-08-10T06:10:46Z","links":{"resolver":"https://pith.science/pith/C3QACLHG4DMRUXOZXD64TDGAPR","bundle":"https://pith.science/pith/C3QACLHG4DMRUXOZXD64TDGAPR/bundle.json","state":"https://pith.science/pith/C3QACLHG4DMRUXOZXD64TDGAPR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C3QACLHG4DMRUXOZXD64TDGAPR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:C3QACLHG4DMRUXOZXD64TDGAPR","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":"d5c682554c61a996a9b9baa583347e15effc1e7a5346d7da12457f7a25942eef","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-08-03T18:03:29Z","title_canon_sha256":"a8d7b69858dda7abbbd99ac65e86a4f43f73bc8f0fd03b088c317ec14564dfa9"},"schema_version":"1.0","source":{"id":"2008.01112","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2008.01112","created_at":"2026-07-05T01:56:03Z"},{"alias_kind":"arxiv_version","alias_value":"2008.01112v3","created_at":"2026-07-05T01:56:03Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2008.01112","created_at":"2026-07-05T01:56:03Z"},{"alias_kind":"pith_short_12","alias_value":"C3QACLHG4DMR","created_at":"2026-07-05T01:56:03Z"},{"alias_kind":"pith_short_16","alias_value":"C3QACLHG4DMRUXOZ","created_at":"2026-07-05T01:56:03Z"},{"alias_kind":"pith_short_8","alias_value":"C3QACLHG","created_at":"2026-07-05T01:56:03Z"}],"graph_snapshots":[{"event_id":"sha256:c4c38f7bf2fd11effa15b838e3108c92f709aca326b439810a225df6db72c92e","target":"graph","created_at":"2026-07-05T01:56:03Z","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/2008.01112/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider several classes of $\\sigma$-models (on groups and symmetric spaces, $\\eta$-models, $\\lambda$-models) with local couplings that may depend on the 2d coordinates, e.g. on time $\\tau$. We observe that (i) starting with a classically integrable 2d $\\sigma$-model, (ii) formally promoting its couplings $h_\\alpha$ to functions $h_\\alpha(\\tau)$ of 2d time, and (iii) demanding that the resulting time-dependent model also admits a Lax connection implies that $h_\\alpha(\\tau)$ must solve the 1-loop RG equations of the original theory with $\\tau$ interpreted as RG time. This provides a novel ex","authors_text":"Arkady A. Tseytlin, Ben Hoare, Nat Levine","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-08-03T18:03:29Z","title":"Sigma models with local couplings: a new integrability -- RG flow connection"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2008.01112","kind":"arxiv","version":3},"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:dcd41c19c5ca20f8bd219d43b50b6c61709af6eeab7b00934a748c9bc14818dc","target":"record","created_at":"2026-07-05T01:56:03Z","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":"d5c682554c61a996a9b9baa583347e15effc1e7a5346d7da12457f7a25942eef","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2020-08-03T18:03:29Z","title_canon_sha256":"a8d7b69858dda7abbbd99ac65e86a4f43f73bc8f0fd03b088c317ec14564dfa9"},"schema_version":"1.0","source":{"id":"2008.01112","kind":"arxiv","version":3}},"canonical_sha256":"16e0012ce6e0d91a5dd9b8fdc98cc07c66317127149f74cd85488e50cfca89aa","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"16e0012ce6e0d91a5dd9b8fdc98cc07c66317127149f74cd85488e50cfca89aa","first_computed_at":"2026-07-05T01:56:03.991868Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:56:03.991868Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wFmW29yaqq56RmpxPhFnH5hTtB7uxn4YusYAjP6leDQj10zzQZ/gvBGZ4zGyxmOweSj2w4exPA4pA3lM9he3Aw==","signature_status":"signed_v1","signed_at":"2026-07-05T01:56:03.992333Z","signed_message":"canonical_sha256_bytes"},"source_id":"2008.01112","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:dcd41c19c5ca20f8bd219d43b50b6c61709af6eeab7b00934a748c9bc14818dc","sha256:c4c38f7bf2fd11effa15b838e3108c92f709aca326b439810a225df6db72c92e"],"state_sha256":"82f3d25efe65aeb78eadc1e7ad65914ddd3d6171d3fc0c99325153258d175412"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"jyirQdCuC6BChcZzQRwWSOdZMHt4PpWHmPeDYGWaCQIfqfoLXzrrYFWB7QzdnbHcpYbANwLKRnKsAgqBn0u+DQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T06:10:46.845696Z","bundle_sha256":"999bd2b9a4c0b33167c03341a03ad183af83c04d04e7c20b7d7ea75d65bb433f"}}