{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2010:TC5R6SEBVPC3HXJU5XKIT7BEUN","short_pith_number":"pith:TC5R6SEB","canonical_record":{"source":{"id":"1006.4590","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-06-23T16:59:25Z","cross_cats_sorted":[],"title_canon_sha256":"ac9047888be2b54e0ba16197c3b41204b3789ae64b07bdb0792a1051307a19dc","abstract_canon_sha256":"e951545f84208dc72039d7dd412b44040270003531d84081b93006b35266acac"},"schema_version":"1.0"},"canonical_sha256":"98bb1f4881abc5b3dd34edd489fc24a375e1cc09f77e90f2f77abf3e279a20af","source":{"kind":"arxiv","id":"1006.4590","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.4590","created_at":"2026-05-17T23:56:30Z"},{"alias_kind":"arxiv_version","alias_value":"1006.4590v4","created_at":"2026-05-17T23:56:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.4590","created_at":"2026-05-17T23:56:30Z"},{"alias_kind":"pith_short_12","alias_value":"TC5R6SEBVPC3","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"TC5R6SEBVPC3HXJU","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"TC5R6SEB","created_at":"2026-05-18T12:26:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2010:TC5R6SEBVPC3HXJU5XKIT7BEUN","target":"record","payload":{"canonical_record":{"source":{"id":"1006.4590","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-06-23T16:59:25Z","cross_cats_sorted":[],"title_canon_sha256":"ac9047888be2b54e0ba16197c3b41204b3789ae64b07bdb0792a1051307a19dc","abstract_canon_sha256":"e951545f84208dc72039d7dd412b44040270003531d84081b93006b35266acac"},"schema_version":"1.0"},"canonical_sha256":"98bb1f4881abc5b3dd34edd489fc24a375e1cc09f77e90f2f77abf3e279a20af","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-17T23:56:30.613096Z","signature_b64":"uaDla6+aDG2UVYQrB9AiV4RpmP6SIXE/j9r47kUJuKocp+7oLrDmYJUDQYTKeRN2x2Y23ginNvlKl7ySXufkCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"98bb1f4881abc5b3dd34edd489fc24a375e1cc09f77e90f2f77abf3e279a20af","last_reissued_at":"2026-05-17T23:56:30.612753Z","signature_status":"signed_v1","first_computed_at":"2026-05-17T23:56:30.612753Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1006.4590","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":"2026-05-17T23:56:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ScdX5Ir/j+JST2jbtee2dnrOhbshvSDDL1gyJe3WohzXIgl5j/eBFH4iP43nzvgmnkw4lg3UwgBP1m/kgtbkBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T19:40:53.502322Z"},"content_sha256":"a08058769268add0b019d7acd6d6d47460c99d0cea630ae51fbed1107851edfb","schema_version":"1.0","event_id":"sha256:a08058769268add0b019d7acd6d6d47460c99d0cea630ae51fbed1107851edfb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2010:TC5R6SEBVPC3HXJU5XKIT7BEUN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Lyman-Alpha Spectroscopy in Non-Commutative Space-Time","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"A. Benslama, M. Moumni, S. Zaim","submitted_at":"2010-06-23T16:59:25Z","abstract_excerpt":"Recently, there has been a certain amount of activity around the theme of cosmological and astrophysical applications of noncommutative geometry models of particle physics. We study space-time non-commutativity applied to the hydrogen atom and the corrections induced to transitions frequencies. By writing the Dirac equation for noncommutative Coulomb potential, we compute noncommutative corrections of the energy levels using perturbation methods and by comparing to the Lamb shift accuracy we get a bound on the parameter of non-commutativity. We use this bound to study the effects on the Lyman-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.4590","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":""},"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":"2026-05-17T23:56:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4DJuBgZsUpagP2N487xCVMZ+ZgHx2xPIdpsIgK8LOEhDWKPIXW7ndcsLZJ6vr3hwoG9dI+eGGWHqoNUwFRJwAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-11T19:40:53.502672Z"},"content_sha256":"8d479b8758a99213fb7aaeabdfa9d070c806b7bbe083bf2067eb0a6114a7fd45","schema_version":"1.0","event_id":"sha256:8d479b8758a99213fb7aaeabdfa9d070c806b7bbe083bf2067eb0a6114a7fd45"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/TC5R6SEBVPC3HXJU5XKIT7BEUN/bundle.json","state_url":"https://pith.science/pith/TC5R6SEBVPC3HXJU5XKIT7BEUN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/TC5R6SEBVPC3HXJU5XKIT7BEUN/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":"2026-06-11T19:40:53Z","links":{"resolver":"https://pith.science/pith/TC5R6SEBVPC3HXJU5XKIT7BEUN","bundle":"https://pith.science/pith/TC5R6SEBVPC3HXJU5XKIT7BEUN/bundle.json","state":"https://pith.science/pith/TC5R6SEBVPC3HXJU5XKIT7BEUN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/TC5R6SEBVPC3HXJU5XKIT7BEUN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2010:TC5R6SEBVPC3HXJU5XKIT7BEUN","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":"e951545f84208dc72039d7dd412b44040270003531d84081b93006b35266acac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-06-23T16:59:25Z","title_canon_sha256":"ac9047888be2b54e0ba16197c3b41204b3789ae64b07bdb0792a1051307a19dc"},"schema_version":"1.0","source":{"id":"1006.4590","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1006.4590","created_at":"2026-05-17T23:56:30Z"},{"alias_kind":"arxiv_version","alias_value":"1006.4590v4","created_at":"2026-05-17T23:56:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1006.4590","created_at":"2026-05-17T23:56:30Z"},{"alias_kind":"pith_short_12","alias_value":"TC5R6SEBVPC3","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_16","alias_value":"TC5R6SEBVPC3HXJU","created_at":"2026-05-18T12:26:13Z"},{"alias_kind":"pith_short_8","alias_value":"TC5R6SEB","created_at":"2026-05-18T12:26:13Z"}],"graph_snapshots":[{"event_id":"sha256:8d479b8758a99213fb7aaeabdfa9d070c806b7bbe083bf2067eb0a6114a7fd45","target":"graph","created_at":"2026-05-17T23:56:30Z","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"},"paper":{"abstract_excerpt":"Recently, there has been a certain amount of activity around the theme of cosmological and astrophysical applications of noncommutative geometry models of particle physics. We study space-time non-commutativity applied to the hydrogen atom and the corrections induced to transitions frequencies. By writing the Dirac equation for noncommutative Coulomb potential, we compute noncommutative corrections of the energy levels using perturbation methods and by comparing to the Lamb shift accuracy we get a bound on the parameter of non-commutativity. We use this bound to study the effects on the Lyman-","authors_text":"A. Benslama, M. Moumni, S. Zaim","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-06-23T16:59:25Z","title":"Lyman-Alpha Spectroscopy in Non-Commutative Space-Time"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1006.4590","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:a08058769268add0b019d7acd6d6d47460c99d0cea630ae51fbed1107851edfb","target":"record","created_at":"2026-05-17T23:56:30Z","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":"e951545f84208dc72039d7dd412b44040270003531d84081b93006b35266acac","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2010-06-23T16:59:25Z","title_canon_sha256":"ac9047888be2b54e0ba16197c3b41204b3789ae64b07bdb0792a1051307a19dc"},"schema_version":"1.0","source":{"id":"1006.4590","kind":"arxiv","version":4}},"canonical_sha256":"98bb1f4881abc5b3dd34edd489fc24a375e1cc09f77e90f2f77abf3e279a20af","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"98bb1f4881abc5b3dd34edd489fc24a375e1cc09f77e90f2f77abf3e279a20af","first_computed_at":"2026-05-17T23:56:30.612753Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-17T23:56:30.612753Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"uaDla6+aDG2UVYQrB9AiV4RpmP6SIXE/j9r47kUJuKocp+7oLrDmYJUDQYTKeRN2x2Y23ginNvlKl7ySXufkCg==","signature_status":"signed_v1","signed_at":"2026-05-17T23:56:30.613096Z","signed_message":"canonical_sha256_bytes"},"source_id":"1006.4590","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a08058769268add0b019d7acd6d6d47460c99d0cea630ae51fbed1107851edfb","sha256:8d479b8758a99213fb7aaeabdfa9d070c806b7bbe083bf2067eb0a6114a7fd45"],"state_sha256":"9142e9371c2e6460773722f8eed700ebe68f0474b3f5b6269d9e7f305386d4da"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NId85Ohfz8UteFROji2ugd0h3DWSwwcnpgmmRlXRs00Uo6K9W4EFcMygKFdR6WMOTtIXT10wY1ZfCZLUjz1tCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-11T19:40:53.505805Z","bundle_sha256":"866d7b4837f0f4b3370bfc79bf1e0e48734072668af23a6d6625eb23021530e5"}}