{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:LXKW2ZKJVDWLAX2GKU26ZV5Q6I","short_pith_number":"pith:LXKW2ZKJ","canonical_record":{"source":{"id":"1406.2653","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2014-06-08T00:35:11Z","cross_cats_sorted":[],"title_canon_sha256":"67adcacfd74f2b86fc4be9515944c14bff1aa5fe738338a4b8b6e175f6ece835","abstract_canon_sha256":"c845f0c2b583a116d3a1c51106286a567c50bff5308d6b8f1601e4c952b64be3"},"schema_version":"1.0"},"canonical_sha256":"5dd56d6549a8ecb05f465535ecd7b0f210c86cfee858b80156e5332ee8cf5db5","source":{"kind":"arxiv","id":"1406.2653","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.2653","created_at":"2026-05-18T01:21:23Z"},{"alias_kind":"arxiv_version","alias_value":"1406.2653v4","created_at":"2026-05-18T01:21:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.2653","created_at":"2026-05-18T01:21:23Z"},{"alias_kind":"pith_short_12","alias_value":"LXKW2ZKJVDWL","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"LXKW2ZKJVDWLAX2G","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"LXKW2ZKJ","created_at":"2026-05-18T12:28:38Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:LXKW2ZKJVDWLAX2GKU26ZV5Q6I","target":"record","payload":{"canonical_record":{"source":{"id":"1406.2653","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2014-06-08T00:35:11Z","cross_cats_sorted":[],"title_canon_sha256":"67adcacfd74f2b86fc4be9515944c14bff1aa5fe738338a4b8b6e175f6ece835","abstract_canon_sha256":"c845f0c2b583a116d3a1c51106286a567c50bff5308d6b8f1601e4c952b64be3"},"schema_version":"1.0"},"canonical_sha256":"5dd56d6549a8ecb05f465535ecd7b0f210c86cfee858b80156e5332ee8cf5db5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:21:23.281767Z","signature_b64":"lpbec4asWDl7TrAU+A9vl+1PyLlb/vq4g9PHbVtaIJeDlyFjNCbpWi3ja7/NRckBhf2CX3pc9AAqb7t5h0vTDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"5dd56d6549a8ecb05f465535ecd7b0f210c86cfee858b80156e5332ee8cf5db5","last_reissued_at":"2026-05-18T01:21:23.281132Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:21:23.281132Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.2653","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":"2026-05-18T01:21:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"C+pmWljFE37s1W5GHiX8nXrMAc+6hXN0YzwLQ1d4Xjg5hP1JRNbLGxc5MS0gN73EaCFQeiIssfxCK0zkrKHeAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T02:53:01.603212Z"},"content_sha256":"9e06a5920fb2e78a160a88ccaad70f24ced75b74f8acf1bc0a17c35a5fcb44f1","schema_version":"1.0","event_id":"sha256:9e06a5920fb2e78a160a88ccaad70f24ced75b74f8acf1bc0a17c35a5fcb44f1"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:LXKW2ZKJVDWLAX2GKU26ZV5Q6I","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Deformation of the Dirac Equation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"physics.gen-ph","authors_text":"Mir Faizal, Sergey I. Kruglov","submitted_at":"2014-06-08T00:35:11Z","abstract_excerpt":"In this paper, we will first clarify the physical meaning of having a minimum measurable time. Then we will combine the deformation of the Dirac equation due to the existence of minimum measurable length and time scales with its deformation due to the doubly special relativity. We will also analyse this deformed Dirac equation in curved spacetime, and observe that this deformation of the Dirac equation also leads to a non-trivial modification of general relativity. Finally, we will analyse the stochastic quantization of this deformed Dirac equation on curved spacetime."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.2653","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":"2026-05-18T01:21:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"B1gQMkuqTHPWNaTnWCeLMy1dxNoAceKM0ZCgbLo5e+jNCoso0FmUvpjwUJ+J2nb7h2Nvqe5Y92WSas1j9ZJfBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-02T02:53:01.603829Z"},"content_sha256":"dc290e1020a7f66465b8b52c36c730918bec156ce6f9c4e391fa63bdca227410","schema_version":"1.0","event_id":"sha256:dc290e1020a7f66465b8b52c36c730918bec156ce6f9c4e391fa63bdca227410"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LXKW2ZKJVDWLAX2GKU26ZV5Q6I/bundle.json","state_url":"https://pith.science/pith/LXKW2ZKJVDWLAX2GKU26ZV5Q6I/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LXKW2ZKJVDWLAX2GKU26ZV5Q6I/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":"2026-07-02T02:53:01Z","links":{"resolver":"https://pith.science/pith/LXKW2ZKJVDWLAX2GKU26ZV5Q6I","bundle":"https://pith.science/pith/LXKW2ZKJVDWLAX2GKU26ZV5Q6I/bundle.json","state":"https://pith.science/pith/LXKW2ZKJVDWLAX2GKU26ZV5Q6I/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LXKW2ZKJVDWLAX2GKU26ZV5Q6I/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:LXKW2ZKJVDWLAX2GKU26ZV5Q6I","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":"c845f0c2b583a116d3a1c51106286a567c50bff5308d6b8f1601e4c952b64be3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2014-06-08T00:35:11Z","title_canon_sha256":"67adcacfd74f2b86fc4be9515944c14bff1aa5fe738338a4b8b6e175f6ece835"},"schema_version":"1.0","source":{"id":"1406.2653","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.2653","created_at":"2026-05-18T01:21:23Z"},{"alias_kind":"arxiv_version","alias_value":"1406.2653v4","created_at":"2026-05-18T01:21:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.2653","created_at":"2026-05-18T01:21:23Z"},{"alias_kind":"pith_short_12","alias_value":"LXKW2ZKJVDWL","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_16","alias_value":"LXKW2ZKJVDWLAX2G","created_at":"2026-05-18T12:28:38Z"},{"alias_kind":"pith_short_8","alias_value":"LXKW2ZKJ","created_at":"2026-05-18T12:28:38Z"}],"graph_snapshots":[{"event_id":"sha256:dc290e1020a7f66465b8b52c36c730918bec156ce6f9c4e391fa63bdca227410","target":"graph","created_at":"2026-05-18T01:21:23Z","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 paper, we will first clarify the physical meaning of having a minimum measurable time. Then we will combine the deformation of the Dirac equation due to the existence of minimum measurable length and time scales with its deformation due to the doubly special relativity. We will also analyse this deformed Dirac equation in curved spacetime, and observe that this deformation of the Dirac equation also leads to a non-trivial modification of general relativity. Finally, we will analyse the stochastic quantization of this deformed Dirac equation on curved spacetime.","authors_text":"Mir Faizal, Sergey I. Kruglov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2014-06-08T00:35:11Z","title":"Deformation of the Dirac Equation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.2653","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":"sha256:9e06a5920fb2e78a160a88ccaad70f24ced75b74f8acf1bc0a17c35a5fcb44f1","target":"record","created_at":"2026-05-18T01:21:23Z","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":"c845f0c2b583a116d3a1c51106286a567c50bff5308d6b8f1601e4c952b64be3","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"physics.gen-ph","submitted_at":"2014-06-08T00:35:11Z","title_canon_sha256":"67adcacfd74f2b86fc4be9515944c14bff1aa5fe738338a4b8b6e175f6ece835"},"schema_version":"1.0","source":{"id":"1406.2653","kind":"arxiv","version":4}},"canonical_sha256":"5dd56d6549a8ecb05f465535ecd7b0f210c86cfee858b80156e5332ee8cf5db5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"5dd56d6549a8ecb05f465535ecd7b0f210c86cfee858b80156e5332ee8cf5db5","first_computed_at":"2026-05-18T01:21:23.281132Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:21:23.281132Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lpbec4asWDl7TrAU+A9vl+1PyLlb/vq4g9PHbVtaIJeDlyFjNCbpWi3ja7/NRckBhf2CX3pc9AAqb7t5h0vTDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:21:23.281767Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.2653","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9e06a5920fb2e78a160a88ccaad70f24ced75b74f8acf1bc0a17c35a5fcb44f1","sha256:dc290e1020a7f66465b8b52c36c730918bec156ce6f9c4e391fa63bdca227410"],"state_sha256":"566fe362249b4fe73258d5c7c64bcb20134901449d6079dcf99f6af87d7b5be0"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ahu3JLqE4Yz2PYevhprowQg/HaAiftLyCLXYVL2QAwmiezW1WxquxVUXr9s8rfVvZmBKXXYno6xGAEB9WjB8CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-02T02:53:01.607586Z","bundle_sha256":"f9019feefda3ba143b54e153d801574b38bc75ea70d13d8f204fb0bf4a9852c8"}}