{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:ECA2HVJU6E4LME32LZP7A4QY7N","short_pith_number":"pith:ECA2HVJU","canonical_record":{"source":{"id":"2606.03055","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2026-06-02T02:44:42Z","cross_cats_sorted":[],"title_canon_sha256":"c64d8c0b30c1a8067572622cf3c5cc53cc00c4687ba1afbafce30a2eb4e79532","abstract_canon_sha256":"e7c2995e64ac93b0a2c3d8111aaacbcd87a5d3cd95b493e2952c469209c91bd3"},"schema_version":"1.0"},"canonical_sha256":"2081a3d534f138b6137a5e5ff07218fb76677625c632c8bbded6045c1affabd4","source":{"kind":"arxiv","id":"2606.03055","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.03055","created_at":"2026-06-03T01:05:30Z"},{"alias_kind":"arxiv_version","alias_value":"2606.03055v1","created_at":"2026-06-03T01:05:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.03055","created_at":"2026-06-03T01:05:30Z"},{"alias_kind":"pith_short_12","alias_value":"ECA2HVJU6E4L","created_at":"2026-06-03T01:05:30Z"},{"alias_kind":"pith_short_16","alias_value":"ECA2HVJU6E4LME32","created_at":"2026-06-03T01:05:30Z"},{"alias_kind":"pith_short_8","alias_value":"ECA2HVJU","created_at":"2026-06-03T01:05:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:ECA2HVJU6E4LME32LZP7A4QY7N","target":"record","payload":{"canonical_record":{"source":{"id":"2606.03055","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2026-06-02T02:44:42Z","cross_cats_sorted":[],"title_canon_sha256":"c64d8c0b30c1a8067572622cf3c5cc53cc00c4687ba1afbafce30a2eb4e79532","abstract_canon_sha256":"e7c2995e64ac93b0a2c3d8111aaacbcd87a5d3cd95b493e2952c469209c91bd3"},"schema_version":"1.0"},"canonical_sha256":"2081a3d534f138b6137a5e5ff07218fb76677625c632c8bbded6045c1affabd4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-03T01:05:30.458802Z","signature_b64":"trqs0EmyQdZgLUwTA8UeXJCG5R3mLoR9cpRB/aT3c/IhJ1eYJV89eLhbGKNSknfzaZfZSaptW8h7HnL9prjrBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"2081a3d534f138b6137a5e5ff07218fb76677625c632c8bbded6045c1affabd4","last_reissued_at":"2026-06-03T01:05:30.458421Z","signature_status":"signed_v1","first_computed_at":"2026-06-03T01:05:30.458421Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.03055","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":"2026-06-03T01:05:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x4u0cOosZxsdom5AQGNpp59Es/WULcIVXNEvPDu3XJuQn5v+QFV6Ll/Ft6GaFmRiyAl0FChHLs6yhHmWUsNnCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T23:15:28.846024Z"},"content_sha256":"1931e0f935ce97869cde382df3d554a3147721688561af3f948565919710d055","schema_version":"1.0","event_id":"sha256:1931e0f935ce97869cde382df3d554a3147721688561af3f948565919710d055"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:ECA2HVJU6E4LME32LZP7A4QY7N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Pion Gravitational Form Factors and the Trace Anomaly in QCD Factorization","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"Claudio Corian\\`o, Dario Melle, Hsiang-nan Li","submitted_at":"2026-06-02T02:44:42Z","abstract_excerpt":"We study the pion gravitational form factor in QCD factorization, focusing on the trace-anomaly component generated by the non-Abelian \\(TJJ\\) vertex. The calculation combines a Sudakov-resummation-improved pion hard kernel with the anomaly form factor suggested by momentum-space conformal field theory and by the perturbative dilaton sum rule. Comparison with lattice QCD data shows a refined projection hierarchy: the isolated anomaly cancels in the form factor \\(A_\\pi(Q^2)\\), while the full \\(TJJ\\) insertion lowers the leading-order curve at small momentum transfer squared \\(Q^2\\); the anomaly"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.03055","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/2606.03055/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":"2026-06-03T01:05:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kTu5MTcQsg8zFGNlShM8Ew8MF1Zy9OusgRifhwrUn96JXrc0DXn1gW7MXXBGU6u2sr+iHq9NX8DAOkuCoL7/BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T23:15:28.846480Z"},"content_sha256":"ff9e155c0bc7770c29b03d041a761094ac2178f88a50ae1298491095e5282034","schema_version":"1.0","event_id":"sha256:ff9e155c0bc7770c29b03d041a761094ac2178f88a50ae1298491095e5282034"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/ECA2HVJU6E4LME32LZP7A4QY7N/bundle.json","state_url":"https://pith.science/pith/ECA2HVJU6E4LME32LZP7A4QY7N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/ECA2HVJU6E4LME32LZP7A4QY7N/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":"2026-06-03T23:15:28Z","links":{"resolver":"https://pith.science/pith/ECA2HVJU6E4LME32LZP7A4QY7N","bundle":"https://pith.science/pith/ECA2HVJU6E4LME32LZP7A4QY7N/bundle.json","state":"https://pith.science/pith/ECA2HVJU6E4LME32LZP7A4QY7N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/ECA2HVJU6E4LME32LZP7A4QY7N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:ECA2HVJU6E4LME32LZP7A4QY7N","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":"e7c2995e64ac93b0a2c3d8111aaacbcd87a5d3cd95b493e2952c469209c91bd3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2026-06-02T02:44:42Z","title_canon_sha256":"c64d8c0b30c1a8067572622cf3c5cc53cc00c4687ba1afbafce30a2eb4e79532"},"schema_version":"1.0","source":{"id":"2606.03055","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.03055","created_at":"2026-06-03T01:05:30Z"},{"alias_kind":"arxiv_version","alias_value":"2606.03055v1","created_at":"2026-06-03T01:05:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.03055","created_at":"2026-06-03T01:05:30Z"},{"alias_kind":"pith_short_12","alias_value":"ECA2HVJU6E4L","created_at":"2026-06-03T01:05:30Z"},{"alias_kind":"pith_short_16","alias_value":"ECA2HVJU6E4LME32","created_at":"2026-06-03T01:05:30Z"},{"alias_kind":"pith_short_8","alias_value":"ECA2HVJU","created_at":"2026-06-03T01:05:30Z"}],"graph_snapshots":[{"event_id":"sha256:ff9e155c0bc7770c29b03d041a761094ac2178f88a50ae1298491095e5282034","target":"graph","created_at":"2026-06-03T01:05:30Z","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/2606.03055/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the pion gravitational form factor in QCD factorization, focusing on the trace-anomaly component generated by the non-Abelian \\(TJJ\\) vertex. The calculation combines a Sudakov-resummation-improved pion hard kernel with the anomaly form factor suggested by momentum-space conformal field theory and by the perturbative dilaton sum rule. Comparison with lattice QCD data shows a refined projection hierarchy: the isolated anomaly cancels in the form factor \\(A_\\pi(Q^2)\\), while the full \\(TJJ\\) insertion lowers the leading-order curve at small momentum transfer squared \\(Q^2\\); the anomaly","authors_text":"Claudio Corian\\`o, Dario Melle, Hsiang-nan Li","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2026-06-02T02:44:42Z","title":"The Pion Gravitational Form Factors and the Trace Anomaly in QCD Factorization"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.03055","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":"sha256:1931e0f935ce97869cde382df3d554a3147721688561af3f948565919710d055","target":"record","created_at":"2026-06-03T01:05:30Z","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":"e7c2995e64ac93b0a2c3d8111aaacbcd87a5d3cd95b493e2952c469209c91bd3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2026-06-02T02:44:42Z","title_canon_sha256":"c64d8c0b30c1a8067572622cf3c5cc53cc00c4687ba1afbafce30a2eb4e79532"},"schema_version":"1.0","source":{"id":"2606.03055","kind":"arxiv","version":1}},"canonical_sha256":"2081a3d534f138b6137a5e5ff07218fb76677625c632c8bbded6045c1affabd4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"2081a3d534f138b6137a5e5ff07218fb76677625c632c8bbded6045c1affabd4","first_computed_at":"2026-06-03T01:05:30.458421Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-03T01:05:30.458421Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"trqs0EmyQdZgLUwTA8UeXJCG5R3mLoR9cpRB/aT3c/IhJ1eYJV89eLhbGKNSknfzaZfZSaptW8h7HnL9prjrBQ==","signature_status":"signed_v1","signed_at":"2026-06-03T01:05:30.458802Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.03055","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1931e0f935ce97869cde382df3d554a3147721688561af3f948565919710d055","sha256:ff9e155c0bc7770c29b03d041a761094ac2178f88a50ae1298491095e5282034"],"state_sha256":"b2278030981e64a548debe0e12264a5d635f92f329c47d1aa661e105e94eb429"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dQvFgE+kkzPdhA/nVuX4p9CiHZHfp5FEC2hzXc7Ro/U0yNa9IF5L+jQCuJ9BwEIXsU+FbeLmr/BmR7R1LQoADg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T23:15:28.848527Z","bundle_sha256":"85e1e26c80e6b19272a0fd3169daf455cd7bd72062ef85f3dd6ae1685ed880bb"}}