{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:FCJXJBE6L2OXYWLXQ43ZXLJJLS","short_pith_number":"pith:FCJXJBE6","canonical_record":{"source":{"id":"2507.18399","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2025-07-24T13:32:05Z","cross_cats_sorted":[],"title_canon_sha256":"1783e2c5842e8001eb310e14d9541c55afad68f19033374bee8c2576a2e01ee4","abstract_canon_sha256":"d7a7357afe2371c56b88222852ef6aca901de95390053f76a892729a645a4321"},"schema_version":"1.0"},"canonical_sha256":"289374849e5e9d7c597787379bad295ca5d931328d746deed370f0ec3aade034","source":{"kind":"arxiv","id":"2507.18399","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.18399","created_at":"2026-07-05T11:42:47Z"},{"alias_kind":"arxiv_version","alias_value":"2507.18399v1","created_at":"2026-07-05T11:42:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.18399","created_at":"2026-07-05T11:42:47Z"},{"alias_kind":"pith_short_12","alias_value":"FCJXJBE6L2OX","created_at":"2026-07-05T11:42:47Z"},{"alias_kind":"pith_short_16","alias_value":"FCJXJBE6L2OXYWLX","created_at":"2026-07-05T11:42:47Z"},{"alias_kind":"pith_short_8","alias_value":"FCJXJBE6","created_at":"2026-07-05T11:42:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:FCJXJBE6L2OXYWLXQ43ZXLJJLS","target":"record","payload":{"canonical_record":{"source":{"id":"2507.18399","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2025-07-24T13:32:05Z","cross_cats_sorted":[],"title_canon_sha256":"1783e2c5842e8001eb310e14d9541c55afad68f19033374bee8c2576a2e01ee4","abstract_canon_sha256":"d7a7357afe2371c56b88222852ef6aca901de95390053f76a892729a645a4321"},"schema_version":"1.0"},"canonical_sha256":"289374849e5e9d7c597787379bad295ca5d931328d746deed370f0ec3aade034","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:42:47.446516Z","signature_b64":"sCKYFzjj14Lf47bDZre07+BB89OlVtxBpXVYrkkVKiPlrwnopSyPJZ8mUBqgdxO5i0kPGkzYoMO24SX+zwl6BQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"289374849e5e9d7c597787379bad295ca5d931328d746deed370f0ec3aade034","last_reissued_at":"2026-07-05T11:42:47.446071Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:42:47.446071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.18399","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":"2026-07-05T11:42:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sCdfo1uENrCOEW+8NM0dpIiEwllVYehxU9nhvhamhCBL6q9xe6NrfNWWPQGrEqzjVk5KzoK92Dt+zwT4EbyvDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T12:10:40.020046Z"},"content_sha256":"aa47fb741027ee241bb4d1f5080e0bfbe0ed3d8b07d7d32cc046f1a4746fd628","schema_version":"1.0","event_id":"sha256:aa47fb741027ee241bb4d1f5080e0bfbe0ed3d8b07d7d32cc046f1a4746fd628"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:FCJXJBE6L2OXYWLXQ43ZXLJJLS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Modified L\\\"uscher zeta-function and the modified effective range expansion in the presence of a long-range force","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-lat","authors_text":"Akaki Rusetsky, Bai-Long Hoid, Hans-Werner Hammer, Jia-Jun Wu, Jin-yi Pang, Rishabh Bubna","submitted_at":"2025-07-24T13:32:05Z","abstract_excerpt":"An efficient numerical algoritm is proposed for the calculation of the modified L\\\"uscher zeta-function in the presence of a long-range force. Using the formalism developed in Ref.~\\cite{Bubna:2024izx} for the analysis of synthetic data on the finite-volume energy levels in a toy model, it is demonstrated that, in contrast to the standard L\\\"uscher approach, the truncation of the higher partial waves has very little effect on the final result. Furthermore, the regularization and renormalization of the modified L\\\"uscher zeta-function is discussed in detail, as well as the problems arising with"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.18399","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/2507.18399/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":"2026-07-05T11:42:47Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"JP2SD5Sgi0orJlMc3YcbFkrQ4eZtmWGUdEHiLrwHm4OflfQH9z8guscV4v2QMc5fTO9kNGablX2HaSAwp/bTBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T12:10:40.021013Z"},"content_sha256":"4c3ac00391456d216450faf794862dfc30edbedfec780d367c933ccbf5882a28","schema_version":"1.0","event_id":"sha256:4c3ac00391456d216450faf794862dfc30edbedfec780d367c933ccbf5882a28"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/FCJXJBE6L2OXYWLXQ43ZXLJJLS/bundle.json","state_url":"https://pith.science/pith/FCJXJBE6L2OXYWLXQ43ZXLJJLS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/FCJXJBE6L2OXYWLXQ43ZXLJJLS/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":"2026-08-06T12:10:40Z","links":{"resolver":"https://pith.science/pith/FCJXJBE6L2OXYWLXQ43ZXLJJLS","bundle":"https://pith.science/pith/FCJXJBE6L2OXYWLXQ43ZXLJJLS/bundle.json","state":"https://pith.science/pith/FCJXJBE6L2OXYWLXQ43ZXLJJLS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/FCJXJBE6L2OXYWLXQ43ZXLJJLS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:FCJXJBE6L2OXYWLXQ43ZXLJJLS","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":"d7a7357afe2371c56b88222852ef6aca901de95390053f76a892729a645a4321","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2025-07-24T13:32:05Z","title_canon_sha256":"1783e2c5842e8001eb310e14d9541c55afad68f19033374bee8c2576a2e01ee4"},"schema_version":"1.0","source":{"id":"2507.18399","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.18399","created_at":"2026-07-05T11:42:47Z"},{"alias_kind":"arxiv_version","alias_value":"2507.18399v1","created_at":"2026-07-05T11:42:47Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.18399","created_at":"2026-07-05T11:42:47Z"},{"alias_kind":"pith_short_12","alias_value":"FCJXJBE6L2OX","created_at":"2026-07-05T11:42:47Z"},{"alias_kind":"pith_short_16","alias_value":"FCJXJBE6L2OXYWLX","created_at":"2026-07-05T11:42:47Z"},{"alias_kind":"pith_short_8","alias_value":"FCJXJBE6","created_at":"2026-07-05T11:42:47Z"}],"graph_snapshots":[{"event_id":"sha256:4c3ac00391456d216450faf794862dfc30edbedfec780d367c933ccbf5882a28","target":"graph","created_at":"2026-07-05T11:42:47Z","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/2507.18399/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"An efficient numerical algoritm is proposed for the calculation of the modified L\\\"uscher zeta-function in the presence of a long-range force. Using the formalism developed in Ref.~\\cite{Bubna:2024izx} for the analysis of synthetic data on the finite-volume energy levels in a toy model, it is demonstrated that, in contrast to the standard L\\\"uscher approach, the truncation of the higher partial waves has very little effect on the final result. Furthermore, the regularization and renormalization of the modified L\\\"uscher zeta-function is discussed in detail, as well as the problems arising with","authors_text":"Akaki Rusetsky, Bai-Long Hoid, Hans-Werner Hammer, Jia-Jun Wu, Jin-yi Pang, Rishabh Bubna","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2025-07-24T13:32:05Z","title":"Modified L\\\"uscher zeta-function and the modified effective range expansion in the presence of a long-range force"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.18399","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:aa47fb741027ee241bb4d1f5080e0bfbe0ed3d8b07d7d32cc046f1a4746fd628","target":"record","created_at":"2026-07-05T11:42:47Z","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":"d7a7357afe2371c56b88222852ef6aca901de95390053f76a892729a645a4321","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-lat","submitted_at":"2025-07-24T13:32:05Z","title_canon_sha256":"1783e2c5842e8001eb310e14d9541c55afad68f19033374bee8c2576a2e01ee4"},"schema_version":"1.0","source":{"id":"2507.18399","kind":"arxiv","version":1}},"canonical_sha256":"289374849e5e9d7c597787379bad295ca5d931328d746deed370f0ec3aade034","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"289374849e5e9d7c597787379bad295ca5d931328d746deed370f0ec3aade034","first_computed_at":"2026-07-05T11:42:47.446071Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:42:47.446071Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"sCKYFzjj14Lf47bDZre07+BB89OlVtxBpXVYrkkVKiPlrwnopSyPJZ8mUBqgdxO5i0kPGkzYoMO24SX+zwl6BQ==","signature_status":"signed_v1","signed_at":"2026-07-05T11:42:47.446516Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.18399","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:aa47fb741027ee241bb4d1f5080e0bfbe0ed3d8b07d7d32cc046f1a4746fd628","sha256:4c3ac00391456d216450faf794862dfc30edbedfec780d367c933ccbf5882a28"],"state_sha256":"25b81c2e249dcec8bd7d97776f3596d5ca0738e226a6e39dc71c7f3d6e1b5759"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FnGvgKwAlY/mk1NJ91RQZ3xAMjEsOHi1Wh/gN4K+2EqkutuVEfxpVj0HQGWJOiI7syrehNKwbY3bFUHIZwQKCA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T12:10:40.029029Z","bundle_sha256":"af6b925655a5d11ef96c6154ca83ea0f487513c84147dc56c1b9eeb16539c8e5"}}