{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:PBXFJZ6Y2CTD25SCW7RU7Q3PWG","short_pith_number":"pith:PBXFJZ6Y","canonical_record":{"source":{"id":"2203.00200","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-03-01T03:10:45Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"8b7e5a79c5a4b2404484512d7ac01f2b56c0954c47bc5f3650601d3c5f792755","abstract_canon_sha256":"3463bb83f81479173868944288f882ec6cc0aa7283c2bbbd61d46009c4661d04"},"schema_version":"1.0"},"canonical_sha256":"786e54e7d8d0a63d7642b7e34fc36fb1922352842320941b7d7c94b1e2350f34","source":{"kind":"arxiv","id":"2203.00200","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2203.00200","created_at":"2026-07-05T04:48:43Z"},{"alias_kind":"arxiv_version","alias_value":"2203.00200v1","created_at":"2026-07-05T04:48:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.00200","created_at":"2026-07-05T04:48:43Z"},{"alias_kind":"pith_short_12","alias_value":"PBXFJZ6Y2CTD","created_at":"2026-07-05T04:48:43Z"},{"alias_kind":"pith_short_16","alias_value":"PBXFJZ6Y2CTD25SC","created_at":"2026-07-05T04:48:43Z"},{"alias_kind":"pith_short_8","alias_value":"PBXFJZ6Y","created_at":"2026-07-05T04:48:43Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:PBXFJZ6Y2CTD25SCW7RU7Q3PWG","target":"record","payload":{"canonical_record":{"source":{"id":"2203.00200","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-03-01T03:10:45Z","cross_cats_sorted":["hep-th"],"title_canon_sha256":"8b7e5a79c5a4b2404484512d7ac01f2b56c0954c47bc5f3650601d3c5f792755","abstract_canon_sha256":"3463bb83f81479173868944288f882ec6cc0aa7283c2bbbd61d46009c4661d04"},"schema_version":"1.0"},"canonical_sha256":"786e54e7d8d0a63d7642b7e34fc36fb1922352842320941b7d7c94b1e2350f34","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T04:48:43.317960Z","signature_b64":"0rnOIUiwx/E4Modk7ZTT+cyoW/uK9yO/XBEOuu3ev/GYphCHJcOz2sHIfdVc1+AnOlv4GmqhydZDd3SNlssWAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"786e54e7d8d0a63d7642b7e34fc36fb1922352842320941b7d7c94b1e2350f34","last_reissued_at":"2026-07-05T04:48:43.317541Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T04:48:43.317541Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2203.00200","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":"2026-07-05T04:48:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0EfdkeCObMRezyRo9S7+P9tjI5CKeRjXVMn8Xu9BY28G1CKkfpwrHUzyzUpWqi0r+QdxUUUra357pKrWhyEvDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T13:53:14.284416Z"},"content_sha256":"4066673822f3a898b90539e2eb6b18954f24f9e86ac69cccf6798384bd92b8ec","schema_version":"1.0","event_id":"sha256:4066673822f3a898b90539e2eb6b18954f24f9e86ac69cccf6798384bd92b8ec"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:PBXFJZ6Y2CTD25SCW7RU7Q3PWG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Topological susceptibility and fourth cumulant in a uniform magnetic field","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th"],"primary_cat":"hep-ph","authors_text":"Prabal Adhikari","submitted_at":"2022-03-01T03:10:45Z","abstract_excerpt":"We study the topological susceptibility and fourth cumulant of the QCD vacuum in a background magnetic field using three-flavor chiral perturbation theory ($\\chi$PT) for arbitrary quark masses and $n$-flavor $\\chi$PT with degenerate quark masses. We find that the enhancement of the topological susceptibility is larger in the three-flavor $\\chi$PT compared to two-flavor $\\chi$PT. Additionally, in comparing the fourth cumulant, we find that its suppression is comparable for magnetic fields, $eH\\lesssim 0.8m_{\\pi}^{2}$, and weaker for larger magnetic fields in three-flavor $\\chi$PT with its enhan"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.00200","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/2203.00200/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":"2026-07-05T04:48:43Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+PX1Tqlc5UnFtOB4hjzO6tc4EieEMFrktNQ3u8BWdCIL9wLvjo47isTVQ84bfK/gNegwOHsjuzgj1JYWtedhAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-18T13:53:14.285024Z"},"content_sha256":"7d5041f25e2f9a60a6d87429789221328bee80a7388988a0aa5340a446189e76","schema_version":"1.0","event_id":"sha256:7d5041f25e2f9a60a6d87429789221328bee80a7388988a0aa5340a446189e76"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PBXFJZ6Y2CTD25SCW7RU7Q3PWG/bundle.json","state_url":"https://pith.science/pith/PBXFJZ6Y2CTD25SCW7RU7Q3PWG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PBXFJZ6Y2CTD25SCW7RU7Q3PWG/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":"2026-08-18T13:53:14Z","links":{"resolver":"https://pith.science/pith/PBXFJZ6Y2CTD25SCW7RU7Q3PWG","bundle":"https://pith.science/pith/PBXFJZ6Y2CTD25SCW7RU7Q3PWG/bundle.json","state":"https://pith.science/pith/PBXFJZ6Y2CTD25SCW7RU7Q3PWG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PBXFJZ6Y2CTD25SCW7RU7Q3PWG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:PBXFJZ6Y2CTD25SCW7RU7Q3PWG","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":"3463bb83f81479173868944288f882ec6cc0aa7283c2bbbd61d46009c4661d04","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-03-01T03:10:45Z","title_canon_sha256":"8b7e5a79c5a4b2404484512d7ac01f2b56c0954c47bc5f3650601d3c5f792755"},"schema_version":"1.0","source":{"id":"2203.00200","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2203.00200","created_at":"2026-07-05T04:48:43Z"},{"alias_kind":"arxiv_version","alias_value":"2203.00200v1","created_at":"2026-07-05T04:48:43Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2203.00200","created_at":"2026-07-05T04:48:43Z"},{"alias_kind":"pith_short_12","alias_value":"PBXFJZ6Y2CTD","created_at":"2026-07-05T04:48:43Z"},{"alias_kind":"pith_short_16","alias_value":"PBXFJZ6Y2CTD25SC","created_at":"2026-07-05T04:48:43Z"},{"alias_kind":"pith_short_8","alias_value":"PBXFJZ6Y","created_at":"2026-07-05T04:48:43Z"}],"graph_snapshots":[{"event_id":"sha256:7d5041f25e2f9a60a6d87429789221328bee80a7388988a0aa5340a446189e76","target":"graph","created_at":"2026-07-05T04:48:43Z","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/2203.00200/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We study the topological susceptibility and fourth cumulant of the QCD vacuum in a background magnetic field using three-flavor chiral perturbation theory ($\\chi$PT) for arbitrary quark masses and $n$-flavor $\\chi$PT with degenerate quark masses. We find that the enhancement of the topological susceptibility is larger in the three-flavor $\\chi$PT compared to two-flavor $\\chi$PT. Additionally, in comparing the fourth cumulant, we find that its suppression is comparable for magnetic fields, $eH\\lesssim 0.8m_{\\pi}^{2}$, and weaker for larger magnetic fields in three-flavor $\\chi$PT with its enhan","authors_text":"Prabal Adhikari","cross_cats":["hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-03-01T03:10:45Z","title":"Topological susceptibility and fourth cumulant in a uniform magnetic field"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2203.00200","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":"sha256:4066673822f3a898b90539e2eb6b18954f24f9e86ac69cccf6798384bd92b8ec","target":"record","created_at":"2026-07-05T04:48:43Z","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":"3463bb83f81479173868944288f882ec6cc0aa7283c2bbbd61d46009c4661d04","cross_cats_sorted":["hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-03-01T03:10:45Z","title_canon_sha256":"8b7e5a79c5a4b2404484512d7ac01f2b56c0954c47bc5f3650601d3c5f792755"},"schema_version":"1.0","source":{"id":"2203.00200","kind":"arxiv","version":1}},"canonical_sha256":"786e54e7d8d0a63d7642b7e34fc36fb1922352842320941b7d7c94b1e2350f34","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"786e54e7d8d0a63d7642b7e34fc36fb1922352842320941b7d7c94b1e2350f34","first_computed_at":"2026-07-05T04:48:43.317541Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T04:48:43.317541Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"0rnOIUiwx/E4Modk7ZTT+cyoW/uK9yO/XBEOuu3ev/GYphCHJcOz2sHIfdVc1+AnOlv4GmqhydZDd3SNlssWAg==","signature_status":"signed_v1","signed_at":"2026-07-05T04:48:43.317960Z","signed_message":"canonical_sha256_bytes"},"source_id":"2203.00200","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:4066673822f3a898b90539e2eb6b18954f24f9e86ac69cccf6798384bd92b8ec","sha256:7d5041f25e2f9a60a6d87429789221328bee80a7388988a0aa5340a446189e76"],"state_sha256":"10941541ace79847a78f68152aa6c1fb28cbf09a31dd51965f1dd677d918ac53"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"GTyOSP/4Tg6PawSCdhlbZgr5wXEJdFfB/FESFRt0MBPVKtFklxuh/v/z2InyHr3X5m97b+l+5EqYpil6QeaWCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-18T13:53:14.290107Z","bundle_sha256":"2330f9a52f411cdb9ff5dd234f71be29ad34680b657b6d1ee0ab83b46db91b0b"}}