{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:YD6MBQAXEWDGVN6VEGGSRGPHXF","short_pith_number":"pith:YD6MBQAX","canonical_record":{"source":{"id":"1412.5131","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-12-16T19:17:50Z","cross_cats_sorted":["cond-mat.other","hep-th"],"title_canon_sha256":"df668cc7b3491a4446223b0769c84c8e7396797e252e77e937c78e270b0c62aa","abstract_canon_sha256":"a3ad6984a398ace1e1a76847c2647efef5f9ebbf5218d308d4544bcf4efe867e"},"schema_version":"1.0"},"canonical_sha256":"c0fcc0c01725866ab7d5218d2899e7b966a6852fdc6c9c4808ffa637671f09dc","source":{"kind":"arxiv","id":"1412.5131","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.5131","created_at":"2026-05-18T02:28:39Z"},{"alias_kind":"arxiv_version","alias_value":"1412.5131v1","created_at":"2026-05-18T02:28:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.5131","created_at":"2026-05-18T02:28:39Z"},{"alias_kind":"pith_short_12","alias_value":"YD6MBQAXEWDG","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YD6MBQAXEWDGVN6V","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YD6MBQAX","created_at":"2026-05-18T12:28:57Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:YD6MBQAXEWDGVN6VEGGSRGPHXF","target":"record","payload":{"canonical_record":{"source":{"id":"1412.5131","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-12-16T19:17:50Z","cross_cats_sorted":["cond-mat.other","hep-th"],"title_canon_sha256":"df668cc7b3491a4446223b0769c84c8e7396797e252e77e937c78e270b0c62aa","abstract_canon_sha256":"a3ad6984a398ace1e1a76847c2647efef5f9ebbf5218d308d4544bcf4efe867e"},"schema_version":"1.0"},"canonical_sha256":"c0fcc0c01725866ab7d5218d2899e7b966a6852fdc6c9c4808ffa637671f09dc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:28:39.763437Z","signature_b64":"zYuW5ym88QdnhS9ZHgCC5QbX1xnUmMjABKPWRM9tA/tl0ZUkIQh1IPdWEdvXhQC2kvdqJk1P0aFuqprtBPbOCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c0fcc0c01725866ab7d5218d2899e7b966a6852fdc6c9c4808ffa637671f09dc","last_reissued_at":"2026-05-18T02:28:39.762776Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:28:39.762776Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1412.5131","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":"2026-05-18T02:28:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Qjd+nCAb/xkJpqARobPh7AksPTv9emk5/E0xDE0sbPzqMz1m6nklVQthesI+gz6Y1FNEHgFc+UEBKHnK6SMhDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T23:35:19.587821Z"},"content_sha256":"db797a611d8f3d71cd45b1f6ccd41d9638584eefe294619878b39818e9c2e2a0","schema_version":"1.0","event_id":"sha256:db797a611d8f3d71cd45b1f6ccd41d9638584eefe294619878b39818e9c2e2a0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:YD6MBQAXEWDGVN6VEGGSRGPHXF","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Some remarks on Relativistic Diffusion and the Spectral Dimension Criterion","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.other","hep-th"],"primary_cat":"gr-qc","authors_text":"C. R. Muniz, M. S. Cunha, R. N. Costa Filho, V. B. Bezerra","submitted_at":"2014-12-16T19:17:50Z","abstract_excerpt":"The spectral dimension $d_s$ for high energies is calculated using the Relativistic Schr\\\"{o}dinger Equation Analytically Continued (RSEAC) instead of the so-called Telegraph's Equation (TE), in both ultraviolet (UV) and infrared (IR) regimens. Regarding the TE, the recent literature presents difficulties related to its stochastic derivation and interpretation, advocating the use of the RSEAC to properly describe the relativistic diffusion phenomena. Taking into account that the Lorentz symmetry is broken in UV regime at Lifshitz point, we show that there exists a degeneracy in very high energ"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.5131","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":"2026-05-18T02:28:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"M7VdxDb3Xdrvt8ZsdDB5vXQqr4i3UKHSCir1Bu68e2Gcc0OcUJNWqwV4hcRD97pgHC1ZEtcwMShp58aEKh9ABw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-30T23:35:19.588178Z"},"content_sha256":"7b3c0fa96c7a1fe388c5ecc78d174c4da9c902313a921b1fd49219dba5e6e393","schema_version":"1.0","event_id":"sha256:7b3c0fa96c7a1fe388c5ecc78d174c4da9c902313a921b1fd49219dba5e6e393"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YD6MBQAXEWDGVN6VEGGSRGPHXF/bundle.json","state_url":"https://pith.science/pith/YD6MBQAXEWDGVN6VEGGSRGPHXF/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YD6MBQAXEWDGVN6VEGGSRGPHXF/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":"2026-05-30T23:35:19Z","links":{"resolver":"https://pith.science/pith/YD6MBQAXEWDGVN6VEGGSRGPHXF","bundle":"https://pith.science/pith/YD6MBQAXEWDGVN6VEGGSRGPHXF/bundle.json","state":"https://pith.science/pith/YD6MBQAXEWDGVN6VEGGSRGPHXF/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YD6MBQAXEWDGVN6VEGGSRGPHXF/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:YD6MBQAXEWDGVN6VEGGSRGPHXF","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":"a3ad6984a398ace1e1a76847c2647efef5f9ebbf5218d308d4544bcf4efe867e","cross_cats_sorted":["cond-mat.other","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-12-16T19:17:50Z","title_canon_sha256":"df668cc7b3491a4446223b0769c84c8e7396797e252e77e937c78e270b0c62aa"},"schema_version":"1.0","source":{"id":"1412.5131","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1412.5131","created_at":"2026-05-18T02:28:39Z"},{"alias_kind":"arxiv_version","alias_value":"1412.5131v1","created_at":"2026-05-18T02:28:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1412.5131","created_at":"2026-05-18T02:28:39Z"},{"alias_kind":"pith_short_12","alias_value":"YD6MBQAXEWDG","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_16","alias_value":"YD6MBQAXEWDGVN6V","created_at":"2026-05-18T12:28:57Z"},{"alias_kind":"pith_short_8","alias_value":"YD6MBQAX","created_at":"2026-05-18T12:28:57Z"}],"graph_snapshots":[{"event_id":"sha256:7b3c0fa96c7a1fe388c5ecc78d174c4da9c902313a921b1fd49219dba5e6e393","target":"graph","created_at":"2026-05-18T02:28:39Z","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 spectral dimension $d_s$ for high energies is calculated using the Relativistic Schr\\\"{o}dinger Equation Analytically Continued (RSEAC) instead of the so-called Telegraph's Equation (TE), in both ultraviolet (UV) and infrared (IR) regimens. Regarding the TE, the recent literature presents difficulties related to its stochastic derivation and interpretation, advocating the use of the RSEAC to properly describe the relativistic diffusion phenomena. Taking into account that the Lorentz symmetry is broken in UV regime at Lifshitz point, we show that there exists a degeneracy in very high energ","authors_text":"C. R. Muniz, M. S. Cunha, R. N. Costa Filho, V. B. Bezerra","cross_cats":["cond-mat.other","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-12-16T19:17:50Z","title":"Some remarks on Relativistic Diffusion and the Spectral Dimension Criterion"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1412.5131","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:db797a611d8f3d71cd45b1f6ccd41d9638584eefe294619878b39818e9c2e2a0","target":"record","created_at":"2026-05-18T02:28:39Z","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":"a3ad6984a398ace1e1a76847c2647efef5f9ebbf5218d308d4544bcf4efe867e","cross_cats_sorted":["cond-mat.other","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2014-12-16T19:17:50Z","title_canon_sha256":"df668cc7b3491a4446223b0769c84c8e7396797e252e77e937c78e270b0c62aa"},"schema_version":"1.0","source":{"id":"1412.5131","kind":"arxiv","version":1}},"canonical_sha256":"c0fcc0c01725866ab7d5218d2899e7b966a6852fdc6c9c4808ffa637671f09dc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c0fcc0c01725866ab7d5218d2899e7b966a6852fdc6c9c4808ffa637671f09dc","first_computed_at":"2026-05-18T02:28:39.762776Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:28:39.762776Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"zYuW5ym88QdnhS9ZHgCC5QbX1xnUmMjABKPWRM9tA/tl0ZUkIQh1IPdWEdvXhQC2kvdqJk1P0aFuqprtBPbOCw==","signature_status":"signed_v1","signed_at":"2026-05-18T02:28:39.763437Z","signed_message":"canonical_sha256_bytes"},"source_id":"1412.5131","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:db797a611d8f3d71cd45b1f6ccd41d9638584eefe294619878b39818e9c2e2a0","sha256:7b3c0fa96c7a1fe388c5ecc78d174c4da9c902313a921b1fd49219dba5e6e393"],"state_sha256":"8ac6162ec7e8e694ab5ec089811deee0c5364d18365b40bfe78e928709221327"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"l0hQ9nqYXgO+Jvkcrtg7dN9mMo/Zos3aDWH6+4l2UCmqI3mSzi5aOEvS+hvruLHPKPNoNa3fEo+ThB43uzflDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-30T23:35:19.590548Z","bundle_sha256":"f6cad109ffc64cc6aae93f9bfe4a396926ac0c00f9bf53b72234416baccc7df3"}}