{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2013:BLL7VYC2QDKYQER2F6QHCGEQHW","short_pith_number":"pith:BLL7VYC2","canonical_record":{"source":{"id":"1303.0100","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-03-01T07:08:49Z","cross_cats_sorted":[],"title_canon_sha256":"0831ee5fd504bd453206f953de453063f9a3ce9b247dd3b9ad75b3ef1eb7f8ad","abstract_canon_sha256":"c3978e97b5a597c405d472d8b9727a7506b0ccdc0776fb7b9604bd3a5bf55e2f"},"schema_version":"1.0"},"canonical_sha256":"0ad7fae05a80d588123a2fa07118903db2e2d1f91b31e997752f91499c97754c","source":{"kind":"arxiv","id":"1303.0100","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.0100","created_at":"2026-05-18T03:10:26Z"},{"alias_kind":"arxiv_version","alias_value":"1303.0100v2","created_at":"2026-05-18T03:10:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.0100","created_at":"2026-05-18T03:10:26Z"},{"alias_kind":"pith_short_12","alias_value":"BLL7VYC2QDKY","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"BLL7VYC2QDKYQER2","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"BLL7VYC2","created_at":"2026-05-18T12:27:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2013:BLL7VYC2QDKYQER2F6QHCGEQHW","target":"record","payload":{"canonical_record":{"source":{"id":"1303.0100","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-03-01T07:08:49Z","cross_cats_sorted":[],"title_canon_sha256":"0831ee5fd504bd453206f953de453063f9a3ce9b247dd3b9ad75b3ef1eb7f8ad","abstract_canon_sha256":"c3978e97b5a597c405d472d8b9727a7506b0ccdc0776fb7b9604bd3a5bf55e2f"},"schema_version":"1.0"},"canonical_sha256":"0ad7fae05a80d588123a2fa07118903db2e2d1f91b31e997752f91499c97754c","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:10:26.674736Z","signature_b64":"cpQZbl/fn+aAE+vMiN4wOOSJOQi8HVt9WTlgemQaxpdOGtfkrlnALS+nt3u/1V3G43180Eu+q7UQgg0k7eCYDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0ad7fae05a80d588123a2fa07118903db2e2d1f91b31e997752f91499c97754c","last_reissued_at":"2026-05-18T03:10:26.674102Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:10:26.674102Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1303.0100","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":"2026-05-18T03:10:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"CGq4VJkqGp3jJiPofd6Od60ZH/dqKK6q9cKKLr+eUeq35KxjZUx9XI1N0jt0iNb2Lf/sd1Li+Q2Vua+yR1vRBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T21:48:57.323007Z"},"content_sha256":"b076392c824a8308cc14f242731761c0ac3397697e0e3780dfcf325524241384","schema_version":"1.0","event_id":"sha256:b076392c824a8308cc14f242731761c0ac3397697e0e3780dfcf325524241384"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2013:BLL7VYC2QDKYQER2F6QHCGEQHW","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Formulation of Electrodynamics with an External Source in the Presence of a Minimal Measurable Length","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"B. Khosropour, M. R. Setare, S. K. Moayedi","submitted_at":"2013-03-01T07:08:49Z","abstract_excerpt":"In a series of papers, Quesne and Tkachuk (J. Phys. A: Math. Gen. \\textbf{39}, 10909 (2006); Czech. J. Phys. \\textbf{56}, 1269 (2006)) presented a $D+1$-dimensional $(\\beta,\\beta')$-two-parameter Lorentz-covariant deformed algebra which leads to a nonzero minimal measurable length. In this paper, the Lagrangian formulation of electrodynamics in a 3+1-dimensional space-time described by Quesne-Tkachuk algebra is studied in the special case $\\beta'=2\\beta$ up to first order over the deformation parameter $\\beta$. It is demonstrated that at the classical level there is a similarity between electr"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.0100","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":""},"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":"2026-05-18T03:10:26Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"IR5oJDvQ/e5zU8WHoAuPj0QwVzz/fY7jYcY0UWRoRTtIpO5zQ6lCMZuBi1sZlDdRVKeqTSIzCD/XikjDVnXdBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T21:48:57.323363Z"},"content_sha256":"278f5be5366a48a446cc5cd148fb18ade05e48b9fd4d32b8869d928ffd653af3","schema_version":"1.0","event_id":"sha256:278f5be5366a48a446cc5cd148fb18ade05e48b9fd4d32b8869d928ffd653af3"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/BLL7VYC2QDKYQER2F6QHCGEQHW/bundle.json","state_url":"https://pith.science/pith/BLL7VYC2QDKYQER2F6QHCGEQHW/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/BLL7VYC2QDKYQER2F6QHCGEQHW/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":"2026-06-05T21:48:57Z","links":{"resolver":"https://pith.science/pith/BLL7VYC2QDKYQER2F6QHCGEQHW","bundle":"https://pith.science/pith/BLL7VYC2QDKYQER2F6QHCGEQHW/bundle.json","state":"https://pith.science/pith/BLL7VYC2QDKYQER2F6QHCGEQHW/state.json","well_known_bundle":"https://pith.science/.well-known/pith/BLL7VYC2QDKYQER2F6QHCGEQHW/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2013:BLL7VYC2QDKYQER2F6QHCGEQHW","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":"c3978e97b5a597c405d472d8b9727a7506b0ccdc0776fb7b9604bd3a5bf55e2f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-03-01T07:08:49Z","title_canon_sha256":"0831ee5fd504bd453206f953de453063f9a3ce9b247dd3b9ad75b3ef1eb7f8ad"},"schema_version":"1.0","source":{"id":"1303.0100","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1303.0100","created_at":"2026-05-18T03:10:26Z"},{"alias_kind":"arxiv_version","alias_value":"1303.0100v2","created_at":"2026-05-18T03:10:26Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1303.0100","created_at":"2026-05-18T03:10:26Z"},{"alias_kind":"pith_short_12","alias_value":"BLL7VYC2QDKY","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_16","alias_value":"BLL7VYC2QDKYQER2","created_at":"2026-05-18T12:27:38Z"},{"alias_kind":"pith_short_8","alias_value":"BLL7VYC2","created_at":"2026-05-18T12:27:38Z"}],"graph_snapshots":[{"event_id":"sha256:278f5be5366a48a446cc5cd148fb18ade05e48b9fd4d32b8869d928ffd653af3","target":"graph","created_at":"2026-05-18T03:10:26Z","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 a series of papers, Quesne and Tkachuk (J. Phys. A: Math. Gen. \\textbf{39}, 10909 (2006); Czech. J. Phys. \\textbf{56}, 1269 (2006)) presented a $D+1$-dimensional $(\\beta,\\beta')$-two-parameter Lorentz-covariant deformed algebra which leads to a nonzero minimal measurable length. In this paper, the Lagrangian formulation of electrodynamics in a 3+1-dimensional space-time described by Quesne-Tkachuk algebra is studied in the special case $\\beta'=2\\beta$ up to first order over the deformation parameter $\\beta$. It is demonstrated that at the classical level there is a similarity between electr","authors_text":"B. Khosropour, M. R. Setare, S. K. Moayedi","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-03-01T07:08:49Z","title":"Formulation of Electrodynamics with an External Source in the Presence of a Minimal Measurable Length"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1303.0100","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:b076392c824a8308cc14f242731761c0ac3397697e0e3780dfcf325524241384","target":"record","created_at":"2026-05-18T03:10:26Z","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":"c3978e97b5a597c405d472d8b9727a7506b0ccdc0776fb7b9604bd3a5bf55e2f","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2013-03-01T07:08:49Z","title_canon_sha256":"0831ee5fd504bd453206f953de453063f9a3ce9b247dd3b9ad75b3ef1eb7f8ad"},"schema_version":"1.0","source":{"id":"1303.0100","kind":"arxiv","version":2}},"canonical_sha256":"0ad7fae05a80d588123a2fa07118903db2e2d1f91b31e997752f91499c97754c","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0ad7fae05a80d588123a2fa07118903db2e2d1f91b31e997752f91499c97754c","first_computed_at":"2026-05-18T03:10:26.674102Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:10:26.674102Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"cpQZbl/fn+aAE+vMiN4wOOSJOQi8HVt9WTlgemQaxpdOGtfkrlnALS+nt3u/1V3G43180Eu+q7UQgg0k7eCYDA==","signature_status":"signed_v1","signed_at":"2026-05-18T03:10:26.674736Z","signed_message":"canonical_sha256_bytes"},"source_id":"1303.0100","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:b076392c824a8308cc14f242731761c0ac3397697e0e3780dfcf325524241384","sha256:278f5be5366a48a446cc5cd148fb18ade05e48b9fd4d32b8869d928ffd653af3"],"state_sha256":"26f30924047717199846337af496ffacf73555f7b85773d9747407f513c963dc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Vnc2f54Wf9CTnHkdi3LSJqsSQn/ugk/JhNi/XZy/KsC+uDkQzhgLwCYWggufgz5XsfkB9AaSxVSinY6PfVgsDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T21:48:57.325996Z","bundle_sha256":"ba5787ae316f9f5770f7cf0257ba5a197212dff6a79019954706598526d4a1c1"}}