{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2022:6M4YU2PNY5JX4B3KDB5FSFDWCE","short_pith_number":"pith:6M4YU2PN","canonical_record":{"source":{"id":"2208.05029","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-08-09T20:18:23Z","cross_cats_sorted":["nucl-ex","nucl-th"],"title_canon_sha256":"337796422044b73bfcabc7f93f4a4adf3b6f6643d09cb39f2866a047a8eff7c1","abstract_canon_sha256":"873772ebfb645b96e5d395061b4cf2093325b47fbe59262831d36bc63eadfad1"},"schema_version":"1.0"},"canonical_sha256":"f3398a69edc7537e076a187a591476113de4683224988875187b9b39e365545e","source":{"kind":"arxiv","id":"2208.05029","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2208.05029","created_at":"2026-07-05T05:49:29Z"},{"alias_kind":"arxiv_version","alias_value":"2208.05029v2","created_at":"2026-07-05T05:49:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.05029","created_at":"2026-07-05T05:49:29Z"},{"alias_kind":"pith_short_12","alias_value":"6M4YU2PNY5JX","created_at":"2026-07-05T05:49:29Z"},{"alias_kind":"pith_short_16","alias_value":"6M4YU2PNY5JX4B3K","created_at":"2026-07-05T05:49:29Z"},{"alias_kind":"pith_short_8","alias_value":"6M4YU2PN","created_at":"2026-07-05T05:49:29Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2022:6M4YU2PNY5JX4B3KDB5FSFDWCE","target":"record","payload":{"canonical_record":{"source":{"id":"2208.05029","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-08-09T20:18:23Z","cross_cats_sorted":["nucl-ex","nucl-th"],"title_canon_sha256":"337796422044b73bfcabc7f93f4a4adf3b6f6643d09cb39f2866a047a8eff7c1","abstract_canon_sha256":"873772ebfb645b96e5d395061b4cf2093325b47fbe59262831d36bc63eadfad1"},"schema_version":"1.0"},"canonical_sha256":"f3398a69edc7537e076a187a591476113de4683224988875187b9b39e365545e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T05:49:29.411042Z","signature_b64":"6g+JXC9/L0oIC8RgX2YKOWrP8EUG4eUTrVZp81cIEgm+YMzDA38IccqcTHMbFjPLbrhOgSaKeFs/RzByfa7KCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"f3398a69edc7537e076a187a591476113de4683224988875187b9b39e365545e","last_reissued_at":"2026-07-05T05:49:29.410567Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T05:49:29.410567Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2208.05029","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T05:49:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"x8hBnWAj6x3OWZ3g/0CPtKoRPIPBGrIFPOzJHnluKIOk4TJfsCiGugHqLSEAxgBgavu1yPIHCDqe4UomxteaCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T19:34:17.265360Z"},"content_sha256":"eadbc869439dc62c79e652b5ea8976b437f4f4f9674fca15ad36362c0e80cdb1","schema_version":"1.0","event_id":"sha256:eadbc869439dc62c79e652b5ea8976b437f4f4f9674fca15ad36362c0e80cdb1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2022:6M4YU2PNY5JX4B3KDB5FSFDWCE","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Gravitational Tensor-Monopole Moment of Hydrogen Atom To Order ${\\cal O}(\\alpha)$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["nucl-ex","nucl-th"],"primary_cat":"hep-ph","authors_text":"Xiangdong Ji, Yizhuang Liu","submitted_at":"2022-08-09T20:18:23Z","abstract_excerpt":"We calculate the gravitational tensor-monopole moment of the momentum-current density $T^{ij}$ in the ground state of the hydrogen atom to order ${\\cal O}(\\alpha)$ in quantum electrodynamics (QED). The result is \\begin{align} \\tau_H/\\tau_0 - 1 = \\frac{4\\alpha}{3\\pi}\\left(\\ln\\alpha^2-0.028\\right) \\nonumber \\end{align} where $\\tau_0= \\hbar^2/4m_e$ is the leading-order moment. The physics of the next-to-leading-order correction is similar to that of the famous Lamb shift for energy levels."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.05029","kind":"arxiv","version":2},"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/2208.05029/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":"2026-07-05T05:49:29Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"68PAzwk+jN+nn40INTXHyU0ZKzE7Y+C2uKtm1ARY1lWmweK5UkSBNxN4KrLbQi2vOjuYjCRd00Qh6o11h/WlDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-17T19:34:17.267887Z"},"content_sha256":"f8ee6babfca05a93f0c3e01c2cccb6c18009ccd01424ab6ee7d50660f8749108","schema_version":"1.0","event_id":"sha256:f8ee6babfca05a93f0c3e01c2cccb6c18009ccd01424ab6ee7d50660f8749108"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/6M4YU2PNY5JX4B3KDB5FSFDWCE/bundle.json","state_url":"https://pith.science/pith/6M4YU2PNY5JX4B3KDB5FSFDWCE/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/6M4YU2PNY5JX4B3KDB5FSFDWCE/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":"2026-08-17T19:34:17Z","links":{"resolver":"https://pith.science/pith/6M4YU2PNY5JX4B3KDB5FSFDWCE","bundle":"https://pith.science/pith/6M4YU2PNY5JX4B3KDB5FSFDWCE/bundle.json","state":"https://pith.science/pith/6M4YU2PNY5JX4B3KDB5FSFDWCE/state.json","well_known_bundle":"https://pith.science/.well-known/pith/6M4YU2PNY5JX4B3KDB5FSFDWCE/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2022:6M4YU2PNY5JX4B3KDB5FSFDWCE","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":"873772ebfb645b96e5d395061b4cf2093325b47fbe59262831d36bc63eadfad1","cross_cats_sorted":["nucl-ex","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-08-09T20:18:23Z","title_canon_sha256":"337796422044b73bfcabc7f93f4a4adf3b6f6643d09cb39f2866a047a8eff7c1"},"schema_version":"1.0","source":{"id":"2208.05029","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2208.05029","created_at":"2026-07-05T05:49:29Z"},{"alias_kind":"arxiv_version","alias_value":"2208.05029v2","created_at":"2026-07-05T05:49:29Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2208.05029","created_at":"2026-07-05T05:49:29Z"},{"alias_kind":"pith_short_12","alias_value":"6M4YU2PNY5JX","created_at":"2026-07-05T05:49:29Z"},{"alias_kind":"pith_short_16","alias_value":"6M4YU2PNY5JX4B3K","created_at":"2026-07-05T05:49:29Z"},{"alias_kind":"pith_short_8","alias_value":"6M4YU2PN","created_at":"2026-07-05T05:49:29Z"}],"graph_snapshots":[{"event_id":"sha256:f8ee6babfca05a93f0c3e01c2cccb6c18009ccd01424ab6ee7d50660f8749108","target":"graph","created_at":"2026-07-05T05:49:29Z","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/2208.05029/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We calculate the gravitational tensor-monopole moment of the momentum-current density $T^{ij}$ in the ground state of the hydrogen atom to order ${\\cal O}(\\alpha)$ in quantum electrodynamics (QED). The result is \\begin{align} \\tau_H/\\tau_0 - 1 = \\frac{4\\alpha}{3\\pi}\\left(\\ln\\alpha^2-0.028\\right) \\nonumber \\end{align} where $\\tau_0= \\hbar^2/4m_e$ is the leading-order moment. The physics of the next-to-leading-order correction is similar to that of the famous Lamb shift for energy levels.","authors_text":"Xiangdong Ji, Yizhuang Liu","cross_cats":["nucl-ex","nucl-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-08-09T20:18:23Z","title":"Gravitational Tensor-Monopole Moment of Hydrogen Atom To Order ${\\cal O}(\\alpha)$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2208.05029","kind":"arxiv","version":2},"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:eadbc869439dc62c79e652b5ea8976b437f4f4f9674fca15ad36362c0e80cdb1","target":"record","created_at":"2026-07-05T05:49:29Z","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":"873772ebfb645b96e5d395061b4cf2093325b47fbe59262831d36bc63eadfad1","cross_cats_sorted":["nucl-ex","nucl-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2022-08-09T20:18:23Z","title_canon_sha256":"337796422044b73bfcabc7f93f4a4adf3b6f6643d09cb39f2866a047a8eff7c1"},"schema_version":"1.0","source":{"id":"2208.05029","kind":"arxiv","version":2}},"canonical_sha256":"f3398a69edc7537e076a187a591476113de4683224988875187b9b39e365545e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"f3398a69edc7537e076a187a591476113de4683224988875187b9b39e365545e","first_computed_at":"2026-07-05T05:49:29.410567Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T05:49:29.410567Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"6g+JXC9/L0oIC8RgX2YKOWrP8EUG4eUTrVZp81cIEgm+YMzDA38IccqcTHMbFjPLbrhOgSaKeFs/RzByfa7KCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T05:49:29.411042Z","signed_message":"canonical_sha256_bytes"},"source_id":"2208.05029","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:eadbc869439dc62c79e652b5ea8976b437f4f4f9674fca15ad36362c0e80cdb1","sha256:f8ee6babfca05a93f0c3e01c2cccb6c18009ccd01424ab6ee7d50660f8749108"],"state_sha256":"25201de191887fd34847a46267ecf62027f200b868937be7db0170654035a077"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KIPKQEubth3kJQa+gx8JbqoPAvCTHy0NAa2/enen+mYLCeEMMVBz8hImtqPOgkKxxRCKVRRJqDhK4wgIG8+CDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-17T19:34:17.278777Z","bundle_sha256":"0eaed71c1bf2d65edf9b29777d738d0925cef681d27be07f87124974e6901b86"}}