{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2004:K27G3OVDYUU6ZQL7JMJE3CHGXM","short_pith_number":"pith:K27G3OVD","canonical_record":{"source":{"id":"hep-ph/0412144","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2004-12-10T16:03:32Z","cross_cats_sorted":[],"title_canon_sha256":"e090fa426b84614f38331f4c9234ef2ae0068a2bd1a408749795b194350bfc86","abstract_canon_sha256":"1ce1047183a11a16376f97760e2cc8b0bd439d5b539cd4c630c0c9f5b0571869"},"schema_version":"1.0"},"canonical_sha256":"56be6dbaa3c529ecc17f4b124d88e6bb1e4171b985e94e4e0798dfe351e5f667","source":{"kind":"arxiv","id":"hep-ph/0412144","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0412144","created_at":"2026-05-18T00:37:28Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0412144v1","created_at":"2026-05-18T00:37:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0412144","created_at":"2026-05-18T00:37:28Z"},{"alias_kind":"pith_short_12","alias_value":"K27G3OVDYUU6","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"K27G3OVDYUU6ZQL7","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"K27G3OVD","created_at":"2026-05-18T12:25:52Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2004:K27G3OVDYUU6ZQL7JMJE3CHGXM","target":"record","payload":{"canonical_record":{"source":{"id":"hep-ph/0412144","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-ph","submitted_at":"2004-12-10T16:03:32Z","cross_cats_sorted":[],"title_canon_sha256":"e090fa426b84614f38331f4c9234ef2ae0068a2bd1a408749795b194350bfc86","abstract_canon_sha256":"1ce1047183a11a16376f97760e2cc8b0bd439d5b539cd4c630c0c9f5b0571869"},"schema_version":"1.0"},"canonical_sha256":"56be6dbaa3c529ecc17f4b124d88e6bb1e4171b985e94e4e0798dfe351e5f667","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:37:28.533007Z","signature_b64":"de3pwHPn0KJXCYJpfYRlmaXWe5j73l8oKJbpJG3DbD7MgEUqnpfgZ7JF7qFwuRrJPYzGGASaXo2YHWiaTvTrAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"56be6dbaa3c529ecc17f4b124d88e6bb1e4171b985e94e4e0798dfe351e5f667","last_reissued_at":"2026-05-18T00:37:28.532436Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:37:28.532436Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-ph/0412144","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":"2026-05-18T00:37:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wWF6D6KdXt0/GpUxByxY/o/eHsTBMZhRt5RbjerPzxWba5F5FcGPZWZUrJPpPnaQDufTrMugz4iuK7LdPV/CBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T16:35:39.340618Z"},"content_sha256":"fe3e7abbde31ef3558a2b05dca8ebd37c275f1782afac74ec1c4a3d8de076932","schema_version":"1.0","event_id":"sha256:fe3e7abbde31ef3558a2b05dca8ebd37c275f1782afac74ec1c4a3d8de076932"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2004:K27G3OVDYUU6ZQL7JMJE3CHGXM","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Sum rules in the heavy quark limit of QCD and Isgur-Wise functions","license":"","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"A. Le Yaouanc, F. Jugeau, J.-C. Raynal, L. Oliver","submitted_at":"2004-12-10T16:03:32Z","abstract_excerpt":"Using the OPE, we formulate new sum rules in the heavy quark limit of QCD. These sum rules imply that the elastic Isgur-Wise function $\\xi (w)$ is an alternate series in powers of $(w-1)$. Moreover, one gets that the $n$-th derivative of $\\xi (w)$ at $ w=1$ can be bounded by the $(n-1)$-th one, and an absolute lower bound for the $n$-th derivative $(-1)^n \\xi^{(n)}(1) \\geq {(2n+1)!! \\over 2^{2n}}$. Moreover, for the curvature we find $\\xi ''(1) \\geq {1 \\over 5} [4 \\rho^2 + 3(\\rho^2)^2]$ where $\\rho^2 = - \\xi '(1)$. We show that the quadratic term ${3 \\over 5} (\\rho^2)^2$ has a transparent phys"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0412144","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":"2026-05-18T00:37:28Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"HUb996IHBkDm6Ck3pfB0rvruSP5P21uKIpLi/Q+Io7tgt46atrD1xo/sTYtIOIB47UO8AlxwIBPs/9vzNm50AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T16:35:39.341355Z"},"content_sha256":"f735985f664749e5f2b6d3d7dd2a29b951bfae48818f833296a5bcc3e8c66704","schema_version":"1.0","event_id":"sha256:f735985f664749e5f2b6d3d7dd2a29b951bfae48818f833296a5bcc3e8c66704"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/K27G3OVDYUU6ZQL7JMJE3CHGXM/bundle.json","state_url":"https://pith.science/pith/K27G3OVDYUU6ZQL7JMJE3CHGXM/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/K27G3OVDYUU6ZQL7JMJE3CHGXM/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":"2026-05-25T16:35:39Z","links":{"resolver":"https://pith.science/pith/K27G3OVDYUU6ZQL7JMJE3CHGXM","bundle":"https://pith.science/pith/K27G3OVDYUU6ZQL7JMJE3CHGXM/bundle.json","state":"https://pith.science/pith/K27G3OVDYUU6ZQL7JMJE3CHGXM/state.json","well_known_bundle":"https://pith.science/.well-known/pith/K27G3OVDYUU6ZQL7JMJE3CHGXM/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2004:K27G3OVDYUU6ZQL7JMJE3CHGXM","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":"1ce1047183a11a16376f97760e2cc8b0bd439d5b539cd4c630c0c9f5b0571869","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2004-12-10T16:03:32Z","title_canon_sha256":"e090fa426b84614f38331f4c9234ef2ae0068a2bd1a408749795b194350bfc86"},"schema_version":"1.0","source":{"id":"hep-ph/0412144","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-ph/0412144","created_at":"2026-05-18T00:37:28Z"},{"alias_kind":"arxiv_version","alias_value":"hep-ph/0412144v1","created_at":"2026-05-18T00:37:28Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-ph/0412144","created_at":"2026-05-18T00:37:28Z"},{"alias_kind":"pith_short_12","alias_value":"K27G3OVDYUU6","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_16","alias_value":"K27G3OVDYUU6ZQL7","created_at":"2026-05-18T12:25:52Z"},{"alias_kind":"pith_short_8","alias_value":"K27G3OVD","created_at":"2026-05-18T12:25:52Z"}],"graph_snapshots":[{"event_id":"sha256:f735985f664749e5f2b6d3d7dd2a29b951bfae48818f833296a5bcc3e8c66704","target":"graph","created_at":"2026-05-18T00:37:28Z","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":"Using the OPE, we formulate new sum rules in the heavy quark limit of QCD. These sum rules imply that the elastic Isgur-Wise function $\\xi (w)$ is an alternate series in powers of $(w-1)$. Moreover, one gets that the $n$-th derivative of $\\xi (w)$ at $ w=1$ can be bounded by the $(n-1)$-th one, and an absolute lower bound for the $n$-th derivative $(-1)^n \\xi^{(n)}(1) \\geq {(2n+1)!! \\over 2^{2n}}$. Moreover, for the curvature we find $\\xi ''(1) \\geq {1 \\over 5} [4 \\rho^2 + 3(\\rho^2)^2]$ where $\\rho^2 = - \\xi '(1)$. We show that the quadratic term ${3 \\over 5} (\\rho^2)^2$ has a transparent phys","authors_text":"A. Le Yaouanc, F. Jugeau, J.-C. Raynal, L. Oliver","cross_cats":[],"headline":"","license":"","primary_cat":"hep-ph","submitted_at":"2004-12-10T16:03:32Z","title":"Sum rules in the heavy quark limit of QCD and Isgur-Wise functions"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-ph/0412144","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:fe3e7abbde31ef3558a2b05dca8ebd37c275f1782afac74ec1c4a3d8de076932","target":"record","created_at":"2026-05-18T00:37:28Z","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":"1ce1047183a11a16376f97760e2cc8b0bd439d5b539cd4c630c0c9f5b0571869","cross_cats_sorted":[],"license":"","primary_cat":"hep-ph","submitted_at":"2004-12-10T16:03:32Z","title_canon_sha256":"e090fa426b84614f38331f4c9234ef2ae0068a2bd1a408749795b194350bfc86"},"schema_version":"1.0","source":{"id":"hep-ph/0412144","kind":"arxiv","version":1}},"canonical_sha256":"56be6dbaa3c529ecc17f4b124d88e6bb1e4171b985e94e4e0798dfe351e5f667","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"56be6dbaa3c529ecc17f4b124d88e6bb1e4171b985e94e4e0798dfe351e5f667","first_computed_at":"2026-05-18T00:37:28.532436Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:37:28.532436Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"de3pwHPn0KJXCYJpfYRlmaXWe5j73l8oKJbpJG3DbD7MgEUqnpfgZ7JF7qFwuRrJPYzGGASaXo2YHWiaTvTrAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:37:28.533007Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-ph/0412144","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fe3e7abbde31ef3558a2b05dca8ebd37c275f1782afac74ec1c4a3d8de076932","sha256:f735985f664749e5f2b6d3d7dd2a29b951bfae48818f833296a5bcc3e8c66704"],"state_sha256":"1d3735b24936e338d37c46b4560a2d7f46b4dbda3c6106aa569779b6be83d8bd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NAOgDQUueyl6iodIkP7TrHH6TgG5jd6ye1lHdULftCXjQIzqrEVzpunk9b9MBQTkpBQqK6f1JdOs3iF+Zo8/DA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T16:35:39.345113Z","bundle_sha256":"41c2045e607a154ba2495b47691fad5532c0428fa2ca8d0aff57f7db2ba76845"}}