{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2008:ATSEV4WYSA4RFDSAYGGTWOYCNL","short_pith_number":"pith:ATSEV4WY","canonical_record":{"source":{"id":"0804.3182","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2008-04-20T10:16:57Z","cross_cats_sorted":[],"title_canon_sha256":"de8ae09f094e526174b59328c9fdcbb58c9b76df2e6cb30e85c92d81d968c115","abstract_canon_sha256":"e0b36266775ac615142c4cf680278603e2262658c6959aab387ef0fa7e80d50d"},"schema_version":"1.0"},"canonical_sha256":"04e44af2d89039128e40c18d3b3b026ac54677da6b69131d255b049f1dc7c28c","source":{"kind":"arxiv","id":"0804.3182","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0804.3182","created_at":"2026-07-04T15:30:02Z"},{"alias_kind":"arxiv_version","alias_value":"0804.3182v1","created_at":"2026-07-04T15:30:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0804.3182","created_at":"2026-07-04T15:30:02Z"},{"alias_kind":"pith_short_12","alias_value":"ATSEV4WYSA4R","created_at":"2026-07-04T15:30:02Z"},{"alias_kind":"pith_short_16","alias_value":"ATSEV4WYSA4RFDSA","created_at":"2026-07-04T15:30:02Z"},{"alias_kind":"pith_short_8","alias_value":"ATSEV4WY","created_at":"2026-07-04T15:30:02Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2008:ATSEV4WYSA4RFDSAYGGTWOYCNL","target":"record","payload":{"canonical_record":{"source":{"id":"0804.3182","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2008-04-20T10:16:57Z","cross_cats_sorted":[],"title_canon_sha256":"de8ae09f094e526174b59328c9fdcbb58c9b76df2e6cb30e85c92d81d968c115","abstract_canon_sha256":"e0b36266775ac615142c4cf680278603e2262658c6959aab387ef0fa7e80d50d"},"schema_version":"1.0"},"canonical_sha256":"04e44af2d89039128e40c18d3b3b026ac54677da6b69131d255b049f1dc7c28c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:30:02.313291Z","signature_b64":"SvSmNWIar3u7Om7jcBSXoiqPNvYAWT+mKWiu71uuEVV1Oo2NCaujXf7yGqibJa4Qm9QyuaQBNvBoF14aGHudBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"04e44af2d89039128e40c18d3b3b026ac54677da6b69131d255b049f1dc7c28c","last_reissued_at":"2026-07-04T15:30:02.312723Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:30:02.312723Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0804.3182","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":"2026-07-04T15:30:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hwGjFfnKB5Rks7sIJP4xDKs37URaGkWfD3X75oVQ5s+mVtqy6jEthXSY/yeLFPReGtyZrMlzFsR2l9fXOveUBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T16:29:12.522850Z"},"content_sha256":"889653ac3a0e4fe87d7e8c8c1d6f96bc38fcb14d5202fa31b15c52f3eeb3cbf4","schema_version":"1.0","event_id":"sha256:889653ac3a0e4fe87d7e8c8c1d6f96bc38fcb14d5202fa31b15c52f3eeb3cbf4"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2008:ATSEV4WYSA4RFDSAYGGTWOYCNL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Model independent determination of the sigma pole","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"H. Leutwyler","submitted_at":"2008-04-20T10:16:57Z","abstract_excerpt":"The first part of this report reviews recent developments at the interface between lattice work on QCD with light dynamical quarks, effective field theory and low energy precision experiments. Then I discuss how dispersion theory can be used to analyze the low energy structure of the $\\pi\\pi$ scattering amplitude in a model independent manner. This leads to an exact formula for the mass and width of the lowest few resonances, in terms of observable quantities. As an application, I consider the pole position of the $\\sigma$, paying particular to error propagation in the numerical analysis. The "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0804.3182","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/0804.3182/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":"2026-07-04T15:30:02Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"PyYNXC7C/gTWFJXzJVFDLU7PWEURKqZBwZD4FznZTujOFs3cYov5UGiCMa2OVL8zR0QcNrpe+tD9wzBpFH3ZDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-15T16:29:12.523422Z"},"content_sha256":"d2234cc749edcd83bbd1f69b3b308ce327f719cff64ec2905d8d11600a9dc2b0","schema_version":"1.0","event_id":"sha256:d2234cc749edcd83bbd1f69b3b308ce327f719cff64ec2905d8d11600a9dc2b0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ATSEV4WYSA4RFDSAYGGTWOYCNL/bundle.json","state_url":"https://pith.science/pith/ATSEV4WYSA4RFDSAYGGTWOYCNL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ATSEV4WYSA4RFDSAYGGTWOYCNL/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":"2026-08-15T16:29:12Z","links":{"resolver":"https://pith.science/pith/ATSEV4WYSA4RFDSAYGGTWOYCNL","bundle":"https://pith.science/pith/ATSEV4WYSA4RFDSAYGGTWOYCNL/bundle.json","state":"https://pith.science/pith/ATSEV4WYSA4RFDSAYGGTWOYCNL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ATSEV4WYSA4RFDSAYGGTWOYCNL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2008:ATSEV4WYSA4RFDSAYGGTWOYCNL","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":"e0b36266775ac615142c4cf680278603e2262658c6959aab387ef0fa7e80d50d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2008-04-20T10:16:57Z","title_canon_sha256":"de8ae09f094e526174b59328c9fdcbb58c9b76df2e6cb30e85c92d81d968c115"},"schema_version":"1.0","source":{"id":"0804.3182","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0804.3182","created_at":"2026-07-04T15:30:02Z"},{"alias_kind":"arxiv_version","alias_value":"0804.3182v1","created_at":"2026-07-04T15:30:02Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0804.3182","created_at":"2026-07-04T15:30:02Z"},{"alias_kind":"pith_short_12","alias_value":"ATSEV4WYSA4R","created_at":"2026-07-04T15:30:02Z"},{"alias_kind":"pith_short_16","alias_value":"ATSEV4WYSA4RFDSA","created_at":"2026-07-04T15:30:02Z"},{"alias_kind":"pith_short_8","alias_value":"ATSEV4WY","created_at":"2026-07-04T15:30:02Z"}],"graph_snapshots":[{"event_id":"sha256:d2234cc749edcd83bbd1f69b3b308ce327f719cff64ec2905d8d11600a9dc2b0","target":"graph","created_at":"2026-07-04T15:30:02Z","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/0804.3182/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The first part of this report reviews recent developments at the interface between lattice work on QCD with light dynamical quarks, effective field theory and low energy precision experiments. Then I discuss how dispersion theory can be used to analyze the low energy structure of the $\\pi\\pi$ scattering amplitude in a model independent manner. This leads to an exact formula for the mass and width of the lowest few resonances, in terms of observable quantities. As an application, I consider the pole position of the $\\sigma$, paying particular to error propagation in the numerical analysis. The ","authors_text":"H. Leutwyler","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2008-04-20T10:16:57Z","title":"Model independent determination of the sigma pole"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0804.3182","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":"sha256:889653ac3a0e4fe87d7e8c8c1d6f96bc38fcb14d5202fa31b15c52f3eeb3cbf4","target":"record","created_at":"2026-07-04T15:30:02Z","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":"e0b36266775ac615142c4cf680278603e2262658c6959aab387ef0fa7e80d50d","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2008-04-20T10:16:57Z","title_canon_sha256":"de8ae09f094e526174b59328c9fdcbb58c9b76df2e6cb30e85c92d81d968c115"},"schema_version":"1.0","source":{"id":"0804.3182","kind":"arxiv","version":1}},"canonical_sha256":"04e44af2d89039128e40c18d3b3b026ac54677da6b69131d255b049f1dc7c28c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"04e44af2d89039128e40c18d3b3b026ac54677da6b69131d255b049f1dc7c28c","first_computed_at":"2026-07-04T15:30:02.312723Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:30:02.312723Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SvSmNWIar3u7Om7jcBSXoiqPNvYAWT+mKWiu71uuEVV1Oo2NCaujXf7yGqibJa4Qm9QyuaQBNvBoF14aGHudBw==","signature_status":"signed_v1","signed_at":"2026-07-04T15:30:02.313291Z","signed_message":"canonical_sha256_bytes"},"source_id":"0804.3182","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:889653ac3a0e4fe87d7e8c8c1d6f96bc38fcb14d5202fa31b15c52f3eeb3cbf4","sha256:d2234cc749edcd83bbd1f69b3b308ce327f719cff64ec2905d8d11600a9dc2b0"],"state_sha256":"424b234440377b70608df45e0f588a5c14e3afb8202478fbf6949e668328fdac"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"w8osw3yG3WBpkuz+pGUEFLVlONRnfoa+JfM1HkQUsNJpH7P6ikIHusU1XyQLlzAbGJD0+WE3KHAvLbyOx9CdCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-15T16:29:12.526683Z","bundle_sha256":"a8d4519d32e2022213f7fb2dc1ddeedede7a3f1a7136a73f5b1b4d0d87e075ed"}}