{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:6IW7CZEPCF7UMPBGMK65HOGXSR","short_pith_number":"pith:6IW7CZEP","canonical_record":{"source":{"id":"2501.16804","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2025-01-28T09:08:56Z","cross_cats_sorted":["hep-ph","nucl-th"],"title_canon_sha256":"b81d92e8b2d5a0fb905d72413862625e7ff757814733ea4401db742502296975","abstract_canon_sha256":"ba907ba2e8fdf14b471de66ae77c2adc571c75ceecece976026f8bc0c2c5f047"},"schema_version":"1.0"},"canonical_sha256":"f22df1648f117f463c2662bdd3b8d7944fccebe0b52c4f21fc02c436e64396e2","source":{"kind":"arxiv","id":"2501.16804","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.16804","created_at":"2026-07-05T10:06:18Z"},{"alias_kind":"arxiv_version","alias_value":"2501.16804v1","created_at":"2026-07-05T10:06:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.16804","created_at":"2026-07-05T10:06:18Z"},{"alias_kind":"pith_short_12","alias_value":"6IW7CZEPCF7U","created_at":"2026-07-05T10:06:18Z"},{"alias_kind":"pith_short_16","alias_value":"6IW7CZEPCF7UMPBG","created_at":"2026-07-05T10:06:18Z"},{"alias_kind":"pith_short_8","alias_value":"6IW7CZEP","created_at":"2026-07-05T10:06:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:6IW7CZEPCF7UMPBGMK65HOGXSR","target":"record","payload":{"canonical_record":{"source":{"id":"2501.16804","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2025-01-28T09:08:56Z","cross_cats_sorted":["hep-ph","nucl-th"],"title_canon_sha256":"b81d92e8b2d5a0fb905d72413862625e7ff757814733ea4401db742502296975","abstract_canon_sha256":"ba907ba2e8fdf14b471de66ae77c2adc571c75ceecece976026f8bc0c2c5f047"},"schema_version":"1.0"},"canonical_sha256":"f22df1648f117f463c2662bdd3b8d7944fccebe0b52c4f21fc02c436e64396e2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T10:06:18.842044Z","signature_b64":"9et3u6sbWCVLPwjZQ6fJCTEqKo1iBYzb/BaL68zksgd/Erdxx45iow1BIIa433RBeVUGZvvR/uVW/u8Su4ujBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f22df1648f117f463c2662bdd3b8d7944fccebe0b52c4f21fc02c436e64396e2","last_reissued_at":"2026-07-05T10:06:18.841611Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T10:06:18.841611Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2501.16804","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":"2026-07-05T10:06:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VKPhOquBul3liQfM8c4CrorVZhT/oMHNUqqVBuv/EXmarArQckGHkHh5coY55aWl3B084P0IkO8IiI5zGSAYBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T21:47:01.000245Z"},"content_sha256":"4f62c027832eefd6194f08a3be35c29699f7b5497ebcd47eae0b99441ec72cd1","schema_version":"1.0","event_id":"sha256:4f62c027832eefd6194f08a3be35c29699f7b5497ebcd47eae0b99441ec72cd1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:6IW7CZEPCF7UMPBGMK65HOGXSR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Left-hand cut and the HAL QCD method","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","nucl-th"],"primary_cat":"hep-lat","authors_text":"Sinya Aoki, Takumi Doi, Yan Lyu","submitted_at":"2025-01-28T09:08:56Z","abstract_excerpt":"We investigate how the left-hand cut (LHC) problem is treated in the HAL QCD method. For this purpose, we first consider the effect of the LHC to the scattering problem in non-relativistic quantum mechanics with potentials. We show that the $S$-matrix or the scattering phase shift obtained from the potential including the Yukawa term ($e^{- m_\\pi r}/r$) with the infra-red (IR) cutoff $R$ is well-defined even for the complex momentum $k$ as long as $R$ is finite, and they are compared with those obtained by the analytic continuation without the IR cutoff. In the $R\\to\\infty$ limit, the phase sh"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.16804","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/2501.16804/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":"2026-07-05T10:06:18Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Raf2OOBVO5uDBTB4Qtle+fUopfqCdSTyOtqqloRa/mZ7xmrqJTQnkoG3RNIV09kJp+XyqqpnDA5yk40tFZAlAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T21:47:01.000906Z"},"content_sha256":"38ecc0efaa4285025af68a349abb31b12a5a86798d4c8661254eb3c6bf6773e0","schema_version":"1.0","event_id":"sha256:38ecc0efaa4285025af68a349abb31b12a5a86798d4c8661254eb3c6bf6773e0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6IW7CZEPCF7UMPBGMK65HOGXSR/bundle.json","state_url":"https://pith.science/pith/6IW7CZEPCF7UMPBGMK65HOGXSR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6IW7CZEPCF7UMPBGMK65HOGXSR/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":"2026-08-05T21:47:01Z","links":{"resolver":"https://pith.science/pith/6IW7CZEPCF7UMPBGMK65HOGXSR","bundle":"https://pith.science/pith/6IW7CZEPCF7UMPBGMK65HOGXSR/bundle.json","state":"https://pith.science/pith/6IW7CZEPCF7UMPBGMK65HOGXSR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6IW7CZEPCF7UMPBGMK65HOGXSR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:6IW7CZEPCF7UMPBGMK65HOGXSR","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":"ba907ba2e8fdf14b471de66ae77c2adc571c75ceecece976026f8bc0c2c5f047","cross_cats_sorted":["hep-ph","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2025-01-28T09:08:56Z","title_canon_sha256":"b81d92e8b2d5a0fb905d72413862625e7ff757814733ea4401db742502296975"},"schema_version":"1.0","source":{"id":"2501.16804","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2501.16804","created_at":"2026-07-05T10:06:18Z"},{"alias_kind":"arxiv_version","alias_value":"2501.16804v1","created_at":"2026-07-05T10:06:18Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.16804","created_at":"2026-07-05T10:06:18Z"},{"alias_kind":"pith_short_12","alias_value":"6IW7CZEPCF7U","created_at":"2026-07-05T10:06:18Z"},{"alias_kind":"pith_short_16","alias_value":"6IW7CZEPCF7UMPBG","created_at":"2026-07-05T10:06:18Z"},{"alias_kind":"pith_short_8","alias_value":"6IW7CZEP","created_at":"2026-07-05T10:06:18Z"}],"graph_snapshots":[{"event_id":"sha256:38ecc0efaa4285025af68a349abb31b12a5a86798d4c8661254eb3c6bf6773e0","target":"graph","created_at":"2026-07-05T10:06:18Z","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/2501.16804/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We investigate how the left-hand cut (LHC) problem is treated in the HAL QCD method. For this purpose, we first consider the effect of the LHC to the scattering problem in non-relativistic quantum mechanics with potentials. We show that the $S$-matrix or the scattering phase shift obtained from the potential including the Yukawa term ($e^{- m_\\pi r}/r$) with the infra-red (IR) cutoff $R$ is well-defined even for the complex momentum $k$ as long as $R$ is finite, and they are compared with those obtained by the analytic continuation without the IR cutoff. In the $R\\to\\infty$ limit, the phase sh","authors_text":"Sinya Aoki, Takumi Doi, Yan Lyu","cross_cats":["hep-ph","nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2025-01-28T09:08:56Z","title":"Left-hand cut and the HAL QCD method"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.16804","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":"sha256:4f62c027832eefd6194f08a3be35c29699f7b5497ebcd47eae0b99441ec72cd1","target":"record","created_at":"2026-07-05T10:06:18Z","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":"ba907ba2e8fdf14b471de66ae77c2adc571c75ceecece976026f8bc0c2c5f047","cross_cats_sorted":["hep-ph","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2025-01-28T09:08:56Z","title_canon_sha256":"b81d92e8b2d5a0fb905d72413862625e7ff757814733ea4401db742502296975"},"schema_version":"1.0","source":{"id":"2501.16804","kind":"arxiv","version":1}},"canonical_sha256":"f22df1648f117f463c2662bdd3b8d7944fccebe0b52c4f21fc02c436e64396e2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f22df1648f117f463c2662bdd3b8d7944fccebe0b52c4f21fc02c436e64396e2","first_computed_at":"2026-07-05T10:06:18.841611Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T10:06:18.841611Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9et3u6sbWCVLPwjZQ6fJCTEqKo1iBYzb/BaL68zksgd/Erdxx45iow1BIIa433RBeVUGZvvR/uVW/u8Su4ujBw==","signature_status":"signed_v1","signed_at":"2026-07-05T10:06:18.842044Z","signed_message":"canonical_sha256_bytes"},"source_id":"2501.16804","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4f62c027832eefd6194f08a3be35c29699f7b5497ebcd47eae0b99441ec72cd1","sha256:38ecc0efaa4285025af68a349abb31b12a5a86798d4c8661254eb3c6bf6773e0"],"state_sha256":"c8801daf853f797ae880bc46c915b3df8bc0e94a5b564a97f612ef4ca812807f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vfchqV0WX4uVJBQ/8EoGZTqtJ6woO0WfHIQGPiWNBilFZgQisCBWPkPvqLsUVrshesTXVYOGddlHdprvCAsBCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T21:47:01.009310Z","bundle_sha256":"dbcf950ef7b88d7fa7614581fa4900ba68b746d6aa9d4ed6a80a0bd8b2959264"}}