{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:4DFSXXXCEZJNCJ4QD2MGKSEI42","short_pith_number":"pith:4DFSXXXC","canonical_record":{"source":{"id":"1306.5314","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-06-22T12:03:45Z","cross_cats_sorted":["hep-th","math.MP","quant-ph"],"title_canon_sha256":"a77bb1fd4a7a30209ac3379be23c9699cf95e1dc9933f71f41266fe089c54bcc","abstract_canon_sha256":"caa8602ac3e218eedd1b66e2ef966259f345fb041f376d7b005461e6a9b4cba0"},"schema_version":"1.0"},"canonical_sha256":"e0cb2bdee22652d127901e98654888e6b6767d564236114b49bb1e67557897b4","source":{"kind":"arxiv","id":"1306.5314","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.5314","created_at":"2026-05-18T02:47:24Z"},{"alias_kind":"arxiv_version","alias_value":"1306.5314v1","created_at":"2026-05-18T02:47:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.5314","created_at":"2026-05-18T02:47:24Z"},{"alias_kind":"pith_short_12","alias_value":"4DFSXXXCEZJN","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"4DFSXXXCEZJNCJ4Q","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"4DFSXXXC","created_at":"2026-05-18T12:27:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:4DFSXXXCEZJNCJ4QD2MGKSEI42","target":"record","payload":{"canonical_record":{"source":{"id":"1306.5314","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-06-22T12:03:45Z","cross_cats_sorted":["hep-th","math.MP","quant-ph"],"title_canon_sha256":"a77bb1fd4a7a30209ac3379be23c9699cf95e1dc9933f71f41266fe089c54bcc","abstract_canon_sha256":"caa8602ac3e218eedd1b66e2ef966259f345fb041f376d7b005461e6a9b4cba0"},"schema_version":"1.0"},"canonical_sha256":"e0cb2bdee22652d127901e98654888e6b6767d564236114b49bb1e67557897b4","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:47:24.385609Z","signature_b64":"/ZCvcqeD87qQ7a/MFfSileDYRW+VyZs9JXAdfvYwyPrK5tP0gKz1AbgxGGZeCWUldTh0VYOa/AhWnVCXaKZjDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"e0cb2bdee22652d127901e98654888e6b6767d564236114b49bb1e67557897b4","last_reissued_at":"2026-05-18T02:47:24.385173Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:47:24.385173Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1306.5314","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":"2026-05-18T02:47:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"N83FKCXMso2roCfJv2MsZAspQS9qbHS38UdPa/8x1afFkLd2AK5NSv+X0zCNfAwry/k+qWtE7aUNbof8vL5yCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T04:10:28.242728Z"},"content_sha256":"0dfdd44b8af789f0b7d94c944b9c3f59ecc1446a6017c159c75da33e1aa7ccaa","schema_version":"1.0","event_id":"sha256:0dfdd44b8af789f0b7d94c944b9c3f59ecc1446a6017c159c75da33e1aa7ccaa"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:4DFSXXXCEZJNCJ4QD2MGKSEI42","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Anomalous g-Factors for Charged Leptons in a Fractional Coarse-Grained Approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP","quant-ph"],"primary_cat":"math-ph","authors_text":"J. Abdalla Helay\\\"el-Neto, J. Weberszpil","submitted_at":"2013-06-22T12:03:45Z","abstract_excerpt":"In this work, we investigate aspects of the electron, muon and tau gyromagnetic ratios (g-factor) in a fractional coarse-grained scenario, by adopting a Modified Riemann-Liouville (MRL) fractional calculus. We point out the possibility of mapping the experimental values of the specie's g-factors into a theoretical parameter which accounts for fractionality, without computing higher-order QED calculations. We wish to understand whether the value of (g-2) may be traced back to a fractionality of space-time.The justification for the difference between the experimental and the theoretical value g="},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.5314","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":""},"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":"2026-05-18T02:47:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"DPIUb+9vJwG/IPr/ihmC+IYVwqdaDrcgdWufvircExDLLcqpBONmrVGuOUzNDPLHf25ckZXTfnqWCdmo/jGiBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T04:10:28.243074Z"},"content_sha256":"56684ad63eeaaaabbc9bc09572ef6da64d79f92a87c3b7b553e2a899c636465e","schema_version":"1.0","event_id":"sha256:56684ad63eeaaaabbc9bc09572ef6da64d79f92a87c3b7b553e2a899c636465e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/4DFSXXXCEZJNCJ4QD2MGKSEI42/bundle.json","state_url":"https://pith.science/pith/4DFSXXXCEZJNCJ4QD2MGKSEI42/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/4DFSXXXCEZJNCJ4QD2MGKSEI42/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":"2026-06-24T04:10:28Z","links":{"resolver":"https://pith.science/pith/4DFSXXXCEZJNCJ4QD2MGKSEI42","bundle":"https://pith.science/pith/4DFSXXXCEZJNCJ4QD2MGKSEI42/bundle.json","state":"https://pith.science/pith/4DFSXXXCEZJNCJ4QD2MGKSEI42/state.json","well_known_bundle":"https://pith.science/.well-known/pith/4DFSXXXCEZJNCJ4QD2MGKSEI42/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:4DFSXXXCEZJNCJ4QD2MGKSEI42","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":"caa8602ac3e218eedd1b66e2ef966259f345fb041f376d7b005461e6a9b4cba0","cross_cats_sorted":["hep-th","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-06-22T12:03:45Z","title_canon_sha256":"a77bb1fd4a7a30209ac3379be23c9699cf95e1dc9933f71f41266fe089c54bcc"},"schema_version":"1.0","source":{"id":"1306.5314","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1306.5314","created_at":"2026-05-18T02:47:24Z"},{"alias_kind":"arxiv_version","alias_value":"1306.5314v1","created_at":"2026-05-18T02:47:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1306.5314","created_at":"2026-05-18T02:47:24Z"},{"alias_kind":"pith_short_12","alias_value":"4DFSXXXCEZJN","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_16","alias_value":"4DFSXXXCEZJNCJ4Q","created_at":"2026-05-18T12:27:32Z"},{"alias_kind":"pith_short_8","alias_value":"4DFSXXXC","created_at":"2026-05-18T12:27:32Z"}],"graph_snapshots":[{"event_id":"sha256:56684ad63eeaaaabbc9bc09572ef6da64d79f92a87c3b7b553e2a899c636465e","target":"graph","created_at":"2026-05-18T02:47:24Z","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":"In this work, we investigate aspects of the electron, muon and tau gyromagnetic ratios (g-factor) in a fractional coarse-grained scenario, by adopting a Modified Riemann-Liouville (MRL) fractional calculus. We point out the possibility of mapping the experimental values of the specie's g-factors into a theoretical parameter which accounts for fractionality, without computing higher-order QED calculations. We wish to understand whether the value of (g-2) may be traced back to a fractionality of space-time.The justification for the difference between the experimental and the theoretical value g=","authors_text":"J. Abdalla Helay\\\"el-Neto, J. Weberszpil","cross_cats":["hep-th","math.MP","quant-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-06-22T12:03:45Z","title":"Anomalous g-Factors for Charged Leptons in a Fractional Coarse-Grained Approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1306.5314","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":"sha256:0dfdd44b8af789f0b7d94c944b9c3f59ecc1446a6017c159c75da33e1aa7ccaa","target":"record","created_at":"2026-05-18T02:47:24Z","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":"caa8602ac3e218eedd1b66e2ef966259f345fb041f376d7b005461e6a9b4cba0","cross_cats_sorted":["hep-th","math.MP","quant-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2013-06-22T12:03:45Z","title_canon_sha256":"a77bb1fd4a7a30209ac3379be23c9699cf95e1dc9933f71f41266fe089c54bcc"},"schema_version":"1.0","source":{"id":"1306.5314","kind":"arxiv","version":1}},"canonical_sha256":"e0cb2bdee22652d127901e98654888e6b6767d564236114b49bb1e67557897b4","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"e0cb2bdee22652d127901e98654888e6b6767d564236114b49bb1e67557897b4","first_computed_at":"2026-05-18T02:47:24.385173Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:47:24.385173Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/ZCvcqeD87qQ7a/MFfSileDYRW+VyZs9JXAdfvYwyPrK5tP0gKz1AbgxGGZeCWUldTh0VYOa/AhWnVCXaKZjDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:47:24.385609Z","signed_message":"canonical_sha256_bytes"},"source_id":"1306.5314","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0dfdd44b8af789f0b7d94c944b9c3f59ecc1446a6017c159c75da33e1aa7ccaa","sha256:56684ad63eeaaaabbc9bc09572ef6da64d79f92a87c3b7b553e2a899c636465e"],"state_sha256":"d9c7959b392d3c651dbb8e174b3f0793ba61ffd74c04835be64274ebae527e2f"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4mHx2Y/oc3OVcPbbYENkGJAOP1aU3w5XPhkJQRXII/rFo+fX3k6Pw/7vdoXPqbXE1Zu8OFFq84BxpPEwFcFjBw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T04:10:28.245067Z","bundle_sha256":"140fa6749e7a1a15d6a49e232e30871ac8e8da9efbac2b0fd47aa90a06a51617"}}