{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2021:UH543ZXPLXRRRI7NJ5KVLTQVTE","short_pith_number":"pith:UH543ZXP","canonical_record":{"source":{"id":"2105.01631","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-05-04T17:17:23Z","cross_cats_sorted":["astro-ph.GA","hep-ph","hep-th"],"title_canon_sha256":"2003bc1371c1285d62f51abe414d72411a2659fd1ae5e32e7f844fe481fead41","abstract_canon_sha256":"95db2071a2370822383ebb3ded3973bf2667942fcd8e3315dc7d60dd44e2782e"},"schema_version":"1.0"},"canonical_sha256":"a1fbcde6ef5de318a3ed4f5555ce15993bb4f0a8104f2e6d5582112165739627","source":{"kind":"arxiv","id":"2105.01631","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.01631","created_at":"2026-07-05T06:46:29Z"},{"alias_kind":"arxiv_version","alias_value":"2105.01631v4","created_at":"2026-07-05T06:46:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.01631","created_at":"2026-07-05T06:46:29Z"},{"alias_kind":"pith_short_12","alias_value":"UH543ZXPLXRR","created_at":"2026-07-05T06:46:29Z"},{"alias_kind":"pith_short_16","alias_value":"UH543ZXPLXRRRI7N","created_at":"2026-07-05T06:46:29Z"},{"alias_kind":"pith_short_8","alias_value":"UH543ZXP","created_at":"2026-07-05T06:46:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2021:UH543ZXPLXRRRI7NJ5KVLTQVTE","target":"record","payload":{"canonical_record":{"source":{"id":"2105.01631","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-05-04T17:17:23Z","cross_cats_sorted":["astro-ph.GA","hep-ph","hep-th"],"title_canon_sha256":"2003bc1371c1285d62f51abe414d72411a2659fd1ae5e32e7f844fe481fead41","abstract_canon_sha256":"95db2071a2370822383ebb3ded3973bf2667942fcd8e3315dc7d60dd44e2782e"},"schema_version":"1.0"},"canonical_sha256":"a1fbcde6ef5de318a3ed4f5555ce15993bb4f0a8104f2e6d5582112165739627","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:46:29.079856Z","signature_b64":"cmm9aE4ZqkopUWo+eIjFpOwOZ1VxX8ixqSCwCxLIKAbE/K6e4lJ/0UuUwjOQeVQStnoVU8JvwI3t7+gGAYVMCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a1fbcde6ef5de318a3ed4f5555ce15993bb4f0a8104f2e6d5582112165739627","last_reissued_at":"2026-07-05T06:46:29.079390Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:46:29.079390Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2105.01631","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:46:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"P9bVY1wvmcw0581V1WjnpSNaLuDHKDyLB+dpa0FAaHSBd6lYcbHqCFfs1oQq2z5Fr1X280MOsH3OdpNJCxfPDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T19:52:11.904348Z"},"content_sha256":"47fc3a2f9163bd166b22788d2ad08cad80760024093698bfd0204621c3538348","schema_version":"1.0","event_id":"sha256:47fc3a2f9163bd166b22788d2ad08cad80760024093698bfd0204621c3538348"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2021:UH543ZXPLXRRRI7NJ5KVLTQVTE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Hubble Constant in the Axi-Higgs Universe","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.GA","hep-ph","hep-th"],"primary_cat":"astro-ph.CO","authors_text":"Hoang Nhan Luu, Leo WH Fung, Lingfeng Li, S.-H. Henry Tye, Tao Liu, Yu-Cheng Qiu","submitted_at":"2021-05-04T17:17:23Z","abstract_excerpt":"The $\\Lambda$CDM model provides an excellent fit to the CMB data. However, a statistically significant tension emerges when its determination of the Hubble constant $H_0$ is compared to the local distance-redshift measurements. The axi-Higgs model, which couples an ultralight axion to the Higgs field, offers a specific variation of the $\\Lambda$CDM model. It relaxes the $H_0$ tension as well as explains the $^7$Li puzzle in Big-Bang nucleosynthesis, the clustering $S_8$ tension with the weak-lensing data, and the observed isotropic cosmic birefringence in CMB. In this paper, we demonstrate how"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.01631","kind":"arxiv","version":4},"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/2105.01631/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":"2026-07-05T06:46:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rMvsVeQLbRQ8T23AemHa6Qdwa0Zi4mCrQh2laHF2MzMYUiFBrzStDhROFhRVIOQZiTJ9975+Kk1irwz26RmmCA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-07T19:52:11.904772Z"},"content_sha256":"a27b247d3b20c8aaff42cf80d11382be7acc0003d166885bb2f3e614efe75b4b","schema_version":"1.0","event_id":"sha256:a27b247d3b20c8aaff42cf80d11382be7acc0003d166885bb2f3e614efe75b4b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UH543ZXPLXRRRI7NJ5KVLTQVTE/bundle.json","state_url":"https://pith.science/pith/UH543ZXPLXRRRI7NJ5KVLTQVTE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UH543ZXPLXRRRI7NJ5KVLTQVTE/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":"2026-08-07T19:52:11Z","links":{"resolver":"https://pith.science/pith/UH543ZXPLXRRRI7NJ5KVLTQVTE","bundle":"https://pith.science/pith/UH543ZXPLXRRRI7NJ5KVLTQVTE/bundle.json","state":"https://pith.science/pith/UH543ZXPLXRRRI7NJ5KVLTQVTE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UH543ZXPLXRRRI7NJ5KVLTQVTE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2021:UH543ZXPLXRRRI7NJ5KVLTQVTE","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":"95db2071a2370822383ebb3ded3973bf2667942fcd8e3315dc7d60dd44e2782e","cross_cats_sorted":["astro-ph.GA","hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-05-04T17:17:23Z","title_canon_sha256":"2003bc1371c1285d62f51abe414d72411a2659fd1ae5e32e7f844fe481fead41"},"schema_version":"1.0","source":{"id":"2105.01631","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2105.01631","created_at":"2026-07-05T06:46:29Z"},{"alias_kind":"arxiv_version","alias_value":"2105.01631v4","created_at":"2026-07-05T06:46:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2105.01631","created_at":"2026-07-05T06:46:29Z"},{"alias_kind":"pith_short_12","alias_value":"UH543ZXPLXRR","created_at":"2026-07-05T06:46:29Z"},{"alias_kind":"pith_short_16","alias_value":"UH543ZXPLXRRRI7N","created_at":"2026-07-05T06:46:29Z"},{"alias_kind":"pith_short_8","alias_value":"UH543ZXP","created_at":"2026-07-05T06:46:29Z"}],"graph_snapshots":[{"event_id":"sha256:a27b247d3b20c8aaff42cf80d11382be7acc0003d166885bb2f3e614efe75b4b","target":"graph","created_at":"2026-07-05T06:46:29Z","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/2105.01631/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"The $\\Lambda$CDM model provides an excellent fit to the CMB data. However, a statistically significant tension emerges when its determination of the Hubble constant $H_0$ is compared to the local distance-redshift measurements. The axi-Higgs model, which couples an ultralight axion to the Higgs field, offers a specific variation of the $\\Lambda$CDM model. It relaxes the $H_0$ tension as well as explains the $^7$Li puzzle in Big-Bang nucleosynthesis, the clustering $S_8$ tension with the weak-lensing data, and the observed isotropic cosmic birefringence in CMB. In this paper, we demonstrate how","authors_text":"Hoang Nhan Luu, Leo WH Fung, Lingfeng Li, S.-H. Henry Tye, Tao Liu, Yu-Cheng Qiu","cross_cats":["astro-ph.GA","hep-ph","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-05-04T17:17:23Z","title":"The Hubble Constant in the Axi-Higgs Universe"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2105.01631","kind":"arxiv","version":4},"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":"sha256:47fc3a2f9163bd166b22788d2ad08cad80760024093698bfd0204621c3538348","target":"record","created_at":"2026-07-05T06:46:29Z","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":"95db2071a2370822383ebb3ded3973bf2667942fcd8e3315dc7d60dd44e2782e","cross_cats_sorted":["astro-ph.GA","hep-ph","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"astro-ph.CO","submitted_at":"2021-05-04T17:17:23Z","title_canon_sha256":"2003bc1371c1285d62f51abe414d72411a2659fd1ae5e32e7f844fe481fead41"},"schema_version":"1.0","source":{"id":"2105.01631","kind":"arxiv","version":4}},"canonical_sha256":"a1fbcde6ef5de318a3ed4f5555ce15993bb4f0a8104f2e6d5582112165739627","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a1fbcde6ef5de318a3ed4f5555ce15993bb4f0a8104f2e6d5582112165739627","first_computed_at":"2026-07-05T06:46:29.079390Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:46:29.079390Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cmm9aE4ZqkopUWo+eIjFpOwOZ1VxX8ixqSCwCxLIKAbE/K6e4lJ/0UuUwjOQeVQStnoVU8JvwI3t7+gGAYVMCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:46:29.079856Z","signed_message":"canonical_sha256_bytes"},"source_id":"2105.01631","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:47fc3a2f9163bd166b22788d2ad08cad80760024093698bfd0204621c3538348","sha256:a27b247d3b20c8aaff42cf80d11382be7acc0003d166885bb2f3e614efe75b4b"],"state_sha256":"7667a0002337824acbc9a5be6fa6c5fc14fbc46ec2bf51c6290fe72c29e42daa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+E5EWrLBRO/dWT76Oq/F4Gfj2Zfk2ojMSnusXEQKMwlchXulv/cbQxkBwKVn9KMQ+afrK0yJ2VzxvZH6p4iIBQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-07T19:52:11.907695Z","bundle_sha256":"15135cd2873ff9bef920adef63c9db10b0fb4a2cd22b24dfc43bebf73c1ae075"}}