{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:PY7VVVGW4XUXVYKJWPSC25QU2E","short_pith_number":"pith:PY7VVVGW","canonical_record":{"source":{"id":"1601.06746","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-01-25T19:59:51Z","cross_cats_sorted":[],"title_canon_sha256":"ef49b0004ecd0866fdea5efefba61932940c0b38fb0feb463b25eba6bb8fdc14","abstract_canon_sha256":"be46d49a0dfe5112ac4ab862948b528abc91c2f21d4aa95d3b52bf6231918b93"},"schema_version":"1.0"},"canonical_sha256":"7e3f5ad4d6e5e97ae149b3e42d7614d132d792bb5ae2f1cbe9a332c0792e24ec","source":{"kind":"arxiv","id":"1601.06746","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.06746","created_at":"2026-05-18T01:11:49Z"},{"alias_kind":"arxiv_version","alias_value":"1601.06746v1","created_at":"2026-05-18T01:11:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.06746","created_at":"2026-05-18T01:11:49Z"},{"alias_kind":"pith_short_12","alias_value":"PY7VVVGW4XUX","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"PY7VVVGW4XUXVYKJ","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"PY7VVVGW","created_at":"2026-05-18T12:30:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:PY7VVVGW4XUXVYKJWPSC25QU2E","target":"record","payload":{"canonical_record":{"source":{"id":"1601.06746","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-01-25T19:59:51Z","cross_cats_sorted":[],"title_canon_sha256":"ef49b0004ecd0866fdea5efefba61932940c0b38fb0feb463b25eba6bb8fdc14","abstract_canon_sha256":"be46d49a0dfe5112ac4ab862948b528abc91c2f21d4aa95d3b52bf6231918b93"},"schema_version":"1.0"},"canonical_sha256":"7e3f5ad4d6e5e97ae149b3e42d7614d132d792bb5ae2f1cbe9a332c0792e24ec","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:11:49.782578Z","signature_b64":"yQhEJLl21aL7125s1Zdk0YqroM2/FBGAtaxTUa4lyO1s/6kmoXpXBAcKkfmf6Z8whuR11j+ncQIYwy79yv+HBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"7e3f5ad4d6e5e97ae149b3e42d7614d132d792bb5ae2f1cbe9a332c0792e24ec","last_reissued_at":"2026-05-18T01:11:49.782216Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:11:49.782216Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1601.06746","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":"2026-05-18T01:11:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D39VO2amDC7xdP4VctZmqOYUgmg8ZqI+blXClPyw82vaFPrmMp7cp1ekjwWfr27nas569EefX86DBFOfmi1CBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T07:04:18.358697Z"},"content_sha256":"c1c96355e0b7e1e33fe3839e14d30577b41b94330ad08eb23f8d55478b6c0c61","schema_version":"1.0","event_id":"sha256:c1c96355e0b7e1e33fe3839e14d30577b41b94330ad08eb23f8d55478b6c0c61"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:PY7VVVGW4XUXVYKJWPSC25QU2E","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Quantum electrodynamics and the electron self-energy in a deformed space with a minimal length scale","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Apollo V. Silva, E. M. C. Abreu, M. J. Neves","submitted_at":"2016-01-25T19:59:51Z","abstract_excerpt":"The main motivation to study models in the presence of a minimal length is to obtain a quantum field theory free of the divergences. In this way, in this paper, we have constructed a new framework for quantum electrodynamics embedded in a minimal length scale background. New operators are introduced and the Green function method was used for the solution of the field equations, i.e., the Maxwell, Klein-Gordon and Dirac equations. We have analyzed specifically the scalar field and its one loop propagator. The mass of the scalar field regularized by the minimal length was obtained. The QED Lagra"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.06746","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":"2026-05-18T01:11:49Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aqBmSJYKx+wEiE9Qfmjh+hdzu2mXY3VvIWxcPCd8cp/V5G9eCU9FCmCBmKdZmJ1Gn+63KDHENexwJtjsc/LLAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T07:04:18.359046Z"},"content_sha256":"9ebecdb12d3569e5d9fc236d37c00781c1dd36097fd9854f289e64dae16895ea","schema_version":"1.0","event_id":"sha256:9ebecdb12d3569e5d9fc236d37c00781c1dd36097fd9854f289e64dae16895ea"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PY7VVVGW4XUXVYKJWPSC25QU2E/bundle.json","state_url":"https://pith.science/pith/PY7VVVGW4XUXVYKJWPSC25QU2E/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PY7VVVGW4XUXVYKJWPSC25QU2E/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":"2026-06-07T07:04:18Z","links":{"resolver":"https://pith.science/pith/PY7VVVGW4XUXVYKJWPSC25QU2E","bundle":"https://pith.science/pith/PY7VVVGW4XUXVYKJWPSC25QU2E/bundle.json","state":"https://pith.science/pith/PY7VVVGW4XUXVYKJWPSC25QU2E/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PY7VVVGW4XUXVYKJWPSC25QU2E/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:PY7VVVGW4XUXVYKJWPSC25QU2E","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":"be46d49a0dfe5112ac4ab862948b528abc91c2f21d4aa95d3b52bf6231918b93","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-01-25T19:59:51Z","title_canon_sha256":"ef49b0004ecd0866fdea5efefba61932940c0b38fb0feb463b25eba6bb8fdc14"},"schema_version":"1.0","source":{"id":"1601.06746","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1601.06746","created_at":"2026-05-18T01:11:49Z"},{"alias_kind":"arxiv_version","alias_value":"1601.06746v1","created_at":"2026-05-18T01:11:49Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1601.06746","created_at":"2026-05-18T01:11:49Z"},{"alias_kind":"pith_short_12","alias_value":"PY7VVVGW4XUX","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"PY7VVVGW4XUXVYKJ","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"PY7VVVGW","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:9ebecdb12d3569e5d9fc236d37c00781c1dd36097fd9854f289e64dae16895ea","target":"graph","created_at":"2026-05-18T01:11:49Z","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":"The main motivation to study models in the presence of a minimal length is to obtain a quantum field theory free of the divergences. In this way, in this paper, we have constructed a new framework for quantum electrodynamics embedded in a minimal length scale background. New operators are introduced and the Green function method was used for the solution of the field equations, i.e., the Maxwell, Klein-Gordon and Dirac equations. We have analyzed specifically the scalar field and its one loop propagator. The mass of the scalar field regularized by the minimal length was obtained. The QED Lagra","authors_text":"Apollo V. Silva, E. M. C. Abreu, M. J. Neves","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-01-25T19:59:51Z","title":"Quantum electrodynamics and the electron self-energy in a deformed space with a minimal length scale"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1601.06746","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:c1c96355e0b7e1e33fe3839e14d30577b41b94330ad08eb23f8d55478b6c0c61","target":"record","created_at":"2026-05-18T01:11:49Z","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":"be46d49a0dfe5112ac4ab862948b528abc91c2f21d4aa95d3b52bf6231918b93","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-01-25T19:59:51Z","title_canon_sha256":"ef49b0004ecd0866fdea5efefba61932940c0b38fb0feb463b25eba6bb8fdc14"},"schema_version":"1.0","source":{"id":"1601.06746","kind":"arxiv","version":1}},"canonical_sha256":"7e3f5ad4d6e5e97ae149b3e42d7614d132d792bb5ae2f1cbe9a332c0792e24ec","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"7e3f5ad4d6e5e97ae149b3e42d7614d132d792bb5ae2f1cbe9a332c0792e24ec","first_computed_at":"2026-05-18T01:11:49.782216Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:11:49.782216Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"yQhEJLl21aL7125s1Zdk0YqroM2/FBGAtaxTUa4lyO1s/6kmoXpXBAcKkfmf6Z8whuR11j+ncQIYwy79yv+HBg==","signature_status":"signed_v1","signed_at":"2026-05-18T01:11:49.782578Z","signed_message":"canonical_sha256_bytes"},"source_id":"1601.06746","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c1c96355e0b7e1e33fe3839e14d30577b41b94330ad08eb23f8d55478b6c0c61","sha256:9ebecdb12d3569e5d9fc236d37c00781c1dd36097fd9854f289e64dae16895ea"],"state_sha256":"f504a523d91ea7e0af1b4086f400ac0325b56627816e6213690fa6ad7c8decdd"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xw2XeVZLq2CyapEbydQV+fJ8MMfzX1NlnF9b0fUbbzXmHXVY9lHtSiK2TxMDmWeGFRObdZ6L9vMJIm7G0SFRAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T07:04:18.361193Z","bundle_sha256":"9571cbde91c472dcd2bd9e8429cb852e923e0c261d201a2b3c23d8d1c110c4f7"}}