{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:RGFUQ2IHOFZL7VMHBJWWVZ4BCQ","short_pith_number":"pith:RGFUQ2IH","canonical_record":{"source":{"id":"2606.05738","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.HE","submitted_at":"2026-06-04T06:04:09Z","cross_cats_sorted":[],"title_canon_sha256":"a7bf6cc752f7bfa6c15db27a2c7ea17c029a074e683e29fdb7864074b4e17fef","abstract_canon_sha256":"02b504b176f54a51562dc60a042de574bc4f9ccb0b3bcec9b290e609781d99b9"},"schema_version":"1.0"},"canonical_sha256":"898b4869077172bfd5870a6d6ae7811433fa3d937a947e5e178503d5c23120ee","source":{"kind":"arxiv","id":"2606.05738","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.05738","created_at":"2026-06-05T01:15:01Z"},{"alias_kind":"arxiv_version","alias_value":"2606.05738v1","created_at":"2026-06-05T01:15:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.05738","created_at":"2026-06-05T01:15:01Z"},{"alias_kind":"pith_short_12","alias_value":"RGFUQ2IHOFZL","created_at":"2026-06-05T01:15:01Z"},{"alias_kind":"pith_short_16","alias_value":"RGFUQ2IHOFZL7VMH","created_at":"2026-06-05T01:15:01Z"},{"alias_kind":"pith_short_8","alias_value":"RGFUQ2IH","created_at":"2026-06-05T01:15:01Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:RGFUQ2IHOFZL7VMHBJWWVZ4BCQ","target":"record","payload":{"canonical_record":{"source":{"id":"2606.05738","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.HE","submitted_at":"2026-06-04T06:04:09Z","cross_cats_sorted":[],"title_canon_sha256":"a7bf6cc752f7bfa6c15db27a2c7ea17c029a074e683e29fdb7864074b4e17fef","abstract_canon_sha256":"02b504b176f54a51562dc60a042de574bc4f9ccb0b3bcec9b290e609781d99b9"},"schema_version":"1.0"},"canonical_sha256":"898b4869077172bfd5870a6d6ae7811433fa3d937a947e5e178503d5c23120ee","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-05T01:15:01.247922Z","signature_b64":"msERY3zd4Gn6k8Ba8wawsRAGh6NPaLjGInvPKrJZYP4PbgK4kjvsG/lUOND0vq6T7Hd+9E0XlpgD8wYMVs1QDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"898b4869077172bfd5870a6d6ae7811433fa3d937a947e5e178503d5c23120ee","last_reissued_at":"2026-06-05T01:15:01.247496Z","signature_status":"signed_v1","first_computed_at":"2026-06-05T01:15:01.247496Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.05738","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":"2026-06-05T01:15:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"h1v/0vyej96mE74kCT2uUZoPT8yonSK/iAALDmDifLyGbB3BP+UzRG7UbEKWWVwtvEm5mpiyZBrXAadrvRmABQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T14:45:40.941203Z"},"content_sha256":"26974a4743d5ca18b0b6b272e783902ac03859dec5e634e5159065264c0da227","schema_version":"1.0","event_id":"sha256:26974a4743d5ca18b0b6b272e783902ac03859dec5e634e5159065264c0da227"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:RGFUQ2IHOFZL7VMHBJWWVZ4BCQ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Joint Multi-Period Fermi-LAT and LHAASO Constraints on Axion-Like Particles from Mrk 421 Using Profile Likelihood with Gaussian Copula Correlation","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"astro-ph.HE","authors_text":"Ao Wang, Chuyuan Yang, Guangbo Long, Huaizhen Li, Hushan Xu, Jiancheng Wang, Longhua Qin, Weiwei Na, Xiaogu Zhong, Yubin Li, Zunli Yuan","submitted_at":"2026-06-04T06:04:09Z","abstract_excerpt":"We construct a multi-epoch joint profile-likelihood framework to constrain axion-like particles (ALPs), employing a Gaussian copula ($\\rho=0.03$) to account for weak correlations among distinct observational periods. Different from traditional independent likelihood addition, our scheme globally optimizes nuisance parameters under the no-ALP hypothesis prior to profiling ALP mass $m_a$ and coupling $g_{a\\gamma}$, enhancing numerical stability and statistical consistency. Using five sets of simultaneous Fermi-LAT and LHAASO data of Mrk 421, we implement both two-zone hybrid and single-zone hadr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.05738","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/2606.05738/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":"2026-06-05T01:15:01Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0UpQxJ8AckYnS1qVlF2Vv6K/wFy1lf5273rt6OxUTcF6GEs34hIrPqf6dbuOppFoDOVAtfygCmSq2xOP/w47BA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-27T14:45:40.941580Z"},"content_sha256":"5fdbc506319dcfbbd0d9994045f1328cf79227547236f9633cf389c1abf2b6c1","schema_version":"1.0","event_id":"sha256:5fdbc506319dcfbbd0d9994045f1328cf79227547236f9633cf389c1abf2b6c1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/RGFUQ2IHOFZL7VMHBJWWVZ4BCQ/bundle.json","state_url":"https://pith.science/pith/RGFUQ2IHOFZL7VMHBJWWVZ4BCQ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/RGFUQ2IHOFZL7VMHBJWWVZ4BCQ/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":"2026-06-27T14:45:40Z","links":{"resolver":"https://pith.science/pith/RGFUQ2IHOFZL7VMHBJWWVZ4BCQ","bundle":"https://pith.science/pith/RGFUQ2IHOFZL7VMHBJWWVZ4BCQ/bundle.json","state":"https://pith.science/pith/RGFUQ2IHOFZL7VMHBJWWVZ4BCQ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/RGFUQ2IHOFZL7VMHBJWWVZ4BCQ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:RGFUQ2IHOFZL7VMHBJWWVZ4BCQ","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":"02b504b176f54a51562dc60a042de574bc4f9ccb0b3bcec9b290e609781d99b9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.HE","submitted_at":"2026-06-04T06:04:09Z","title_canon_sha256":"a7bf6cc752f7bfa6c15db27a2c7ea17c029a074e683e29fdb7864074b4e17fef"},"schema_version":"1.0","source":{"id":"2606.05738","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.05738","created_at":"2026-06-05T01:15:01Z"},{"alias_kind":"arxiv_version","alias_value":"2606.05738v1","created_at":"2026-06-05T01:15:01Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.05738","created_at":"2026-06-05T01:15:01Z"},{"alias_kind":"pith_short_12","alias_value":"RGFUQ2IHOFZL","created_at":"2026-06-05T01:15:01Z"},{"alias_kind":"pith_short_16","alias_value":"RGFUQ2IHOFZL7VMH","created_at":"2026-06-05T01:15:01Z"},{"alias_kind":"pith_short_8","alias_value":"RGFUQ2IH","created_at":"2026-06-05T01:15:01Z"}],"graph_snapshots":[{"event_id":"sha256:5fdbc506319dcfbbd0d9994045f1328cf79227547236f9633cf389c1abf2b6c1","target":"graph","created_at":"2026-06-05T01:15:01Z","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/2606.05738/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We construct a multi-epoch joint profile-likelihood framework to constrain axion-like particles (ALPs), employing a Gaussian copula ($\\rho=0.03$) to account for weak correlations among distinct observational periods. Different from traditional independent likelihood addition, our scheme globally optimizes nuisance parameters under the no-ALP hypothesis prior to profiling ALP mass $m_a$ and coupling $g_{a\\gamma}$, enhancing numerical stability and statistical consistency. Using five sets of simultaneous Fermi-LAT and LHAASO data of Mrk 421, we implement both two-zone hybrid and single-zone hadr","authors_text":"Ao Wang, Chuyuan Yang, Guangbo Long, Huaizhen Li, Hushan Xu, Jiancheng Wang, Longhua Qin, Weiwei Na, Xiaogu Zhong, Yubin Li, Zunli Yuan","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.HE","submitted_at":"2026-06-04T06:04:09Z","title":"Joint Multi-Period Fermi-LAT and LHAASO Constraints on Axion-Like Particles from Mrk 421 Using Profile Likelihood with Gaussian Copula Correlation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.05738","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":"sha256:26974a4743d5ca18b0b6b272e783902ac03859dec5e634e5159065264c0da227","target":"record","created_at":"2026-06-05T01:15:01Z","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":"02b504b176f54a51562dc60a042de574bc4f9ccb0b3bcec9b290e609781d99b9","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"astro-ph.HE","submitted_at":"2026-06-04T06:04:09Z","title_canon_sha256":"a7bf6cc752f7bfa6c15db27a2c7ea17c029a074e683e29fdb7864074b4e17fef"},"schema_version":"1.0","source":{"id":"2606.05738","kind":"arxiv","version":1}},"canonical_sha256":"898b4869077172bfd5870a6d6ae7811433fa3d937a947e5e178503d5c23120ee","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"898b4869077172bfd5870a6d6ae7811433fa3d937a947e5e178503d5c23120ee","first_computed_at":"2026-06-05T01:15:01.247496Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-05T01:15:01.247496Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"msERY3zd4Gn6k8Ba8wawsRAGh6NPaLjGInvPKrJZYP4PbgK4kjvsG/lUOND0vq6T7Hd+9E0XlpgD8wYMVs1QDg==","signature_status":"signed_v1","signed_at":"2026-06-05T01:15:01.247922Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.05738","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:26974a4743d5ca18b0b6b272e783902ac03859dec5e634e5159065264c0da227","sha256:5fdbc506319dcfbbd0d9994045f1328cf79227547236f9633cf389c1abf2b6c1"],"state_sha256":"fdc12db9c588f2aefa45c97535cbc1603a546534cc6e6649e4790305e848aad3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xNPhfSsgJmCy0GD9kOKkV3RDmY8KxHdC7UrWdguzjjjUFuQnb4dh4K6udmAYUm4cZ3F8LflYFz/AjHyVHxf9AA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-27T14:45:40.943966Z","bundle_sha256":"2a681754f01f2186a7812e17a91314cd8d9fc78eab2e142d3ba69e5661a78c89"}}