{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:YWQVNJ7R3QYAFYTPQXIY2JGMNG","short_pith_number":"pith:YWQVNJ7R","canonical_record":{"source":{"id":"1102.0172","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-02-01T14:52:26Z","cross_cats_sorted":[],"title_canon_sha256":"6f71150e3ceb98fe4b91c8fd1ad8bb3d97c120ae976c1b195dd081b87152decb","abstract_canon_sha256":"eb2dcfc479349dc57d022274b61195795cddb1088354055c4b2483664da71196"},"schema_version":"1.0"},"canonical_sha256":"c5a156a7f1dc3002e26f85d18d24cc69a24bc081a5504c353b0792118ea47328","source":{"kind":"arxiv","id":"1102.0172","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.0172","created_at":"2026-05-18T04:26:56Z"},{"alias_kind":"arxiv_version","alias_value":"1102.0172v1","created_at":"2026-05-18T04:26:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.0172","created_at":"2026-05-18T04:26:56Z"},{"alias_kind":"pith_short_12","alias_value":"YWQVNJ7R3QYA","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"YWQVNJ7R3QYAFYTP","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"YWQVNJ7R","created_at":"2026-05-18T12:26:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:YWQVNJ7R3QYAFYTPQXIY2JGMNG","target":"record","payload":{"canonical_record":{"source":{"id":"1102.0172","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-02-01T14:52:26Z","cross_cats_sorted":[],"title_canon_sha256":"6f71150e3ceb98fe4b91c8fd1ad8bb3d97c120ae976c1b195dd081b87152decb","abstract_canon_sha256":"eb2dcfc479349dc57d022274b61195795cddb1088354055c4b2483664da71196"},"schema_version":"1.0"},"canonical_sha256":"c5a156a7f1dc3002e26f85d18d24cc69a24bc081a5504c353b0792118ea47328","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:26:56.202554Z","signature_b64":"wUQYIeF24M8syc/fN+nfhgpNQMUnvQdZMJWSlSkS2X8u3g79lYawUf3doA27Yw402lSK+mqEPYXJafkmFvJOBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c5a156a7f1dc3002e26f85d18d24cc69a24bc081a5504c353b0792118ea47328","last_reissued_at":"2026-05-18T04:26:56.202032Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:26:56.202032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1102.0172","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":"2026-05-18T04:26:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Io/TX3IG9Z831RcK0N5Sm/5iA70snmM3L9NGfKPoKWx9nUxdE5yuhad9dSCqjWkcWlqkYxgOScNui8Da2eOBDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T22:23:11.153332Z"},"content_sha256":"ffbdc018a66ade74efa7c632d710407d126cf4f593afc5614583eccf47ed5b0b","schema_version":"1.0","event_id":"sha256:ffbdc018a66ade74efa7c632d710407d126cf4f593afc5614583eccf47ed5b0b"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:YWQVNJ7R3QYAFYTPQXIY2JGMNG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Meson-meson Scattering in QCD-like Theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Jie Lu (Lund), Johan Bijnens","submitted_at":"2011-02-01T14:52:26Z","abstract_excerpt":"We discuss meson-meson scattering at next-to-next-to-leading order in the chiral expansion for QCD-like theories with general $n$ degenerate flavours for the cases with a complex, real and pseudo-real representation. I.e. with global symmetry and breaking pattern $SU(n)_L\\times SU(n)_R\\to SU(n)_V$, $SU(2n)\\to SO(2n)$ and $SU(2n)\\to Sp(2n)$. We obtain fully analytical expressions for all these cases. We discuss the general structure of the amplitude and the structure of the possible intermediate channels for all three cases. We derive the expressions for the lowest partial wave scattering lengt"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.0172","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":"2026-05-18T04:26:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"33ij/Q9oDiT9V1SoqaWMcyTwj6w+K2En+lbVonAhhGG3NR83B6GyBKFSHdIFtWxv2tvYnP9gIO8Xtbd+jVKlBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-10T22:23:11.153829Z"},"content_sha256":"739f05ea5a2e1bb6a17107ac19b5f3e0717a80f474cfdbeb3f3314cd235f122e","schema_version":"1.0","event_id":"sha256:739f05ea5a2e1bb6a17107ac19b5f3e0717a80f474cfdbeb3f3314cd235f122e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YWQVNJ7R3QYAFYTPQXIY2JGMNG/bundle.json","state_url":"https://pith.science/pith/YWQVNJ7R3QYAFYTPQXIY2JGMNG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YWQVNJ7R3QYAFYTPQXIY2JGMNG/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":"2026-08-10T22:23:11Z","links":{"resolver":"https://pith.science/pith/YWQVNJ7R3QYAFYTPQXIY2JGMNG","bundle":"https://pith.science/pith/YWQVNJ7R3QYAFYTPQXIY2JGMNG/bundle.json","state":"https://pith.science/pith/YWQVNJ7R3QYAFYTPQXIY2JGMNG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YWQVNJ7R3QYAFYTPQXIY2JGMNG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:YWQVNJ7R3QYAFYTPQXIY2JGMNG","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":"eb2dcfc479349dc57d022274b61195795cddb1088354055c4b2483664da71196","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-02-01T14:52:26Z","title_canon_sha256":"6f71150e3ceb98fe4b91c8fd1ad8bb3d97c120ae976c1b195dd081b87152decb"},"schema_version":"1.0","source":{"id":"1102.0172","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1102.0172","created_at":"2026-05-18T04:26:56Z"},{"alias_kind":"arxiv_version","alias_value":"1102.0172v1","created_at":"2026-05-18T04:26:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1102.0172","created_at":"2026-05-18T04:26:56Z"},{"alias_kind":"pith_short_12","alias_value":"YWQVNJ7R3QYA","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_16","alias_value":"YWQVNJ7R3QYAFYTP","created_at":"2026-05-18T12:26:47Z"},{"alias_kind":"pith_short_8","alias_value":"YWQVNJ7R","created_at":"2026-05-18T12:26:47Z"}],"graph_snapshots":[{"event_id":"sha256:739f05ea5a2e1bb6a17107ac19b5f3e0717a80f474cfdbeb3f3314cd235f122e","target":"graph","created_at":"2026-05-18T04:26:56Z","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 discuss meson-meson scattering at next-to-next-to-leading order in the chiral expansion for QCD-like theories with general $n$ degenerate flavours for the cases with a complex, real and pseudo-real representation. I.e. with global symmetry and breaking pattern $SU(n)_L\\times SU(n)_R\\to SU(n)_V$, $SU(2n)\\to SO(2n)$ and $SU(2n)\\to Sp(2n)$. We obtain fully analytical expressions for all these cases. We discuss the general structure of the amplitude and the structure of the possible intermediate channels for all three cases. We derive the expressions for the lowest partial wave scattering lengt","authors_text":"Jie Lu (Lund), Johan Bijnens","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-02-01T14:52:26Z","title":"Meson-meson Scattering in QCD-like Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1102.0172","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:ffbdc018a66ade74efa7c632d710407d126cf4f593afc5614583eccf47ed5b0b","target":"record","created_at":"2026-05-18T04:26:56Z","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":"eb2dcfc479349dc57d022274b61195795cddb1088354055c4b2483664da71196","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2011-02-01T14:52:26Z","title_canon_sha256":"6f71150e3ceb98fe4b91c8fd1ad8bb3d97c120ae976c1b195dd081b87152decb"},"schema_version":"1.0","source":{"id":"1102.0172","kind":"arxiv","version":1}},"canonical_sha256":"c5a156a7f1dc3002e26f85d18d24cc69a24bc081a5504c353b0792118ea47328","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c5a156a7f1dc3002e26f85d18d24cc69a24bc081a5504c353b0792118ea47328","first_computed_at":"2026-05-18T04:26:56.202032Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:26:56.202032Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wUQYIeF24M8syc/fN+nfhgpNQMUnvQdZMJWSlSkS2X8u3g79lYawUf3doA27Yw402lSK+mqEPYXJafkmFvJOBw==","signature_status":"signed_v1","signed_at":"2026-05-18T04:26:56.202554Z","signed_message":"canonical_sha256_bytes"},"source_id":"1102.0172","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:ffbdc018a66ade74efa7c632d710407d126cf4f593afc5614583eccf47ed5b0b","sha256:739f05ea5a2e1bb6a17107ac19b5f3e0717a80f474cfdbeb3f3314cd235f122e"],"state_sha256":"ebac5db3694cd271dc5492693d527d292e44375cefa62ef9f449335f91f8d043"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Eh98GXFFY+DVGt2bpadIYmQxYu6nW1Nm+wbll4dHJJFC7oKDNEP9Q0sZdsf3Dh3PYy1S0vXsw1F2QPjvEnvbBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-10T22:23:11.157971Z","bundle_sha256":"4dd388dd808accbfa1c9d069cb386556bc6b7a9980cddceef404c4eefdfd303e"}}