{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2018:NBNIXXT4TAMB4BJESG7JEMMZRT","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":"0d68b5cea129d026e816393b846e4be481ce56739bd9ce4299bf4ddc777052ba","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-01-21T08:39:11Z","title_canon_sha256":"f4b2e74e99a16cff25af3bae2adbda226b879f0b070627a4b73c87f8d5728b2b"},"schema_version":"1.0","source":{"id":"1801.06789","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1801.06789","created_at":"2026-05-18T00:03:19Z"},{"alias_kind":"arxiv_version","alias_value":"1801.06789v2","created_at":"2026-05-18T00:03:19Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1801.06789","created_at":"2026-05-18T00:03:19Z"},{"alias_kind":"pith_short_12","alias_value":"NBNIXXT4TAMB","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_16","alias_value":"NBNIXXT4TAMB4BJE","created_at":"2026-05-18T12:32:40Z"},{"alias_kind":"pith_short_8","alias_value":"NBNIXXT4","created_at":"2026-05-18T12:32:40Z"}],"graph_snapshots":[{"event_id":"sha256:013be27c79e4e476f2a4b99eaa66f7ff4afb87b437ccf37d541b6762ea0f789c","target":"graph","created_at":"2026-05-18T00:03:19Z","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":"In most non-perturbative methods in hadron physics the calculations are started with a correlation function in terms of some interpolating and transition currents in $ x $-space. For simplicity, the calculations are then transformed to the momentum space by a Fourier transformation. To suppress the contributions of the higher states and continuum; and enhance the ground state contribution, Borel transformation as well as continuum subtraction are applied by the help of quark-hadron duality assumption. In the present study we work out the mathematics required for these processes in the case of ","authors_text":"A. R. Olamaei, K. Azizi, S. Rostami","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-01-21T08:39:11Z","title":"Beautiful mathematics for beauty-full and other multi-heavy hadronic systems"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1801.06789","kind":"arxiv","version":2},"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":"sha256:561fcadf8e7d8b21ae390b27f76eacbe9d6680c3857d2d20cee941f6a3ddf9f9","target":"record","created_at":"2026-05-18T00:03:19Z","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":"0d68b5cea129d026e816393b846e4be481ce56739bd9ce4299bf4ddc777052ba","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2018-01-21T08:39:11Z","title_canon_sha256":"f4b2e74e99a16cff25af3bae2adbda226b879f0b070627a4b73c87f8d5728b2b"},"schema_version":"1.0","source":{"id":"1801.06789","kind":"arxiv","version":2}},"canonical_sha256":"685a8bde7c98181e052491be9231998cf10fca4b48a9450ea13ea47828a69e24","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"685a8bde7c98181e052491be9231998cf10fca4b48a9450ea13ea47828a69e24","first_computed_at":"2026-05-18T00:03:19.057038Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:03:19.057038Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"xoNx7aEk0JlmN3T3YUVbOnZXjWcHesuHDoQH7xd37stikzrwpYRWL9y8JZuzVDum4Q0PuXh0JsE52Y9bjgamBg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:03:19.057584Z","signed_message":"canonical_sha256_bytes"},"source_id":"1801.06789","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:561fcadf8e7d8b21ae390b27f76eacbe9d6680c3857d2d20cee941f6a3ddf9f9","sha256:013be27c79e4e476f2a4b99eaa66f7ff4afb87b437ccf37d541b6762ea0f789c"],"state_sha256":"01f64e19a50868992e623e36bfe264fdc6f3c74baa65fe10d3c533e6de438cc3"}