{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:AYXZDSRLF2P3BYGEJQ25CE3CBO","short_pith_number":"pith:AYXZDSRL","canonical_record":{"source":{"id":"0905.1974","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-05-12T22:06:12Z","cross_cats_sorted":[],"title_canon_sha256":"579c3925f667bbfd0e40edf817c15b6410b24c513c16fa0e9c2bd3d069cb9cbd","abstract_canon_sha256":"a82e087c9c92a88063afdd795db2f2d25da6c39b7b8f37d6079f9c8c996da990"},"schema_version":"1.0"},"canonical_sha256":"062f91ca2b2e9fb0e0c44c35d113620b9fc70256830bac4f074f42d8025cbbf7","source":{"kind":"arxiv","id":"0905.1974","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.1974","created_at":"2026-05-18T02:13:39Z"},{"alias_kind":"arxiv_version","alias_value":"0905.1974v1","created_at":"2026-05-18T02:13:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.1974","created_at":"2026-05-18T02:13:39Z"},{"alias_kind":"pith_short_12","alias_value":"AYXZDSRLF2P3","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"AYXZDSRLF2P3BYGE","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"AYXZDSRL","created_at":"2026-05-18T12:25:58Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:AYXZDSRLF2P3BYGEJQ25CE3CBO","target":"record","payload":{"canonical_record":{"source":{"id":"0905.1974","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-05-12T22:06:12Z","cross_cats_sorted":[],"title_canon_sha256":"579c3925f667bbfd0e40edf817c15b6410b24c513c16fa0e9c2bd3d069cb9cbd","abstract_canon_sha256":"a82e087c9c92a88063afdd795db2f2d25da6c39b7b8f37d6079f9c8c996da990"},"schema_version":"1.0"},"canonical_sha256":"062f91ca2b2e9fb0e0c44c35d113620b9fc70256830bac4f074f42d8025cbbf7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:13:39.786908Z","signature_b64":"VxhpM844Fbdv3MtJjbSrjNqNIRr6N6QJl9phGbpI6aSDPY5k/koWDj7gkb0g2Qs9pT5G6O20EG2vRtvmRutsBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"062f91ca2b2e9fb0e0c44c35d113620b9fc70256830bac4f074f42d8025cbbf7","last_reissued_at":"2026-05-18T02:13:39.786390Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:13:39.786390Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0905.1974","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":"2026-05-18T02:13:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yEuPuwERhCNcPE1RclmN+RBeowIHomTZOHEkElfnob4HTm9j3dLmyhKuYNpTgB0U39AvJagL5ak6m/YZdaaJDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T09:51:05.176122Z"},"content_sha256":"d6a0c9d586f70c020bbae86d8dcd2920ebe6148b1866477f5aafb893c4542cc0","schema_version":"1.0","event_id":"sha256:d6a0c9d586f70c020bbae86d8dcd2920ebe6148b1866477f5aafb893c4542cc0"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:AYXZDSRLF2P3BYGEJQ25CE3CBO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the renormalization procedure for quantum fields with modified dispersion relation in curved spacetimes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Diana L\\'opez Nacir, Francisco D. Mazzitelli","submitted_at":"2009-05-12T22:06:12Z","abstract_excerpt":"We review our recent results on the renormalization procedure for a free quantum scalar field with modified dispersion relations in curved spacetimes. For dispersion relations containing up to $2s$ powers of the spatial momentum, the subtraction necessary to renormalize $<\\phi^2>$ and $<T_{\\mu\\nu}>$ depends on $s$. We first describe our previous analysis for spatially flat Friedman-Robertson-Walker and Bianchi type I metrics. Then we present a new power counting analysis for general background metrics in the weak field approximation."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.1974","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":"2026-05-18T02:13:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"nJRloTCvq2aX8mr6Ra6RTEtFwGRub/+ZFco19w+F98WlSwMgxKoqSYTDSK7gC7QZBXakiAWq+HwnoLaoxKazAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-10T09:51:05.176824Z"},"content_sha256":"c9913b4b5fea0343a874670d27671318fedf46780ee32013ce421fa6f6051d13","schema_version":"1.0","event_id":"sha256:c9913b4b5fea0343a874670d27671318fedf46780ee32013ce421fa6f6051d13"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AYXZDSRLF2P3BYGEJQ25CE3CBO/bundle.json","state_url":"https://pith.science/pith/AYXZDSRLF2P3BYGEJQ25CE3CBO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AYXZDSRLF2P3BYGEJQ25CE3CBO/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":"2026-06-10T09:51:05Z","links":{"resolver":"https://pith.science/pith/AYXZDSRLF2P3BYGEJQ25CE3CBO","bundle":"https://pith.science/pith/AYXZDSRLF2P3BYGEJQ25CE3CBO/bundle.json","state":"https://pith.science/pith/AYXZDSRLF2P3BYGEJQ25CE3CBO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AYXZDSRLF2P3BYGEJQ25CE3CBO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:AYXZDSRLF2P3BYGEJQ25CE3CBO","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":"a82e087c9c92a88063afdd795db2f2d25da6c39b7b8f37d6079f9c8c996da990","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-05-12T22:06:12Z","title_canon_sha256":"579c3925f667bbfd0e40edf817c15b6410b24c513c16fa0e9c2bd3d069cb9cbd"},"schema_version":"1.0","source":{"id":"0905.1974","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0905.1974","created_at":"2026-05-18T02:13:39Z"},{"alias_kind":"arxiv_version","alias_value":"0905.1974v1","created_at":"2026-05-18T02:13:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0905.1974","created_at":"2026-05-18T02:13:39Z"},{"alias_kind":"pith_short_12","alias_value":"AYXZDSRLF2P3","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_16","alias_value":"AYXZDSRLF2P3BYGE","created_at":"2026-05-18T12:25:58Z"},{"alias_kind":"pith_short_8","alias_value":"AYXZDSRL","created_at":"2026-05-18T12:25:58Z"}],"graph_snapshots":[{"event_id":"sha256:c9913b4b5fea0343a874670d27671318fedf46780ee32013ce421fa6f6051d13","target":"graph","created_at":"2026-05-18T02:13:39Z","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":"We review our recent results on the renormalization procedure for a free quantum scalar field with modified dispersion relations in curved spacetimes. For dispersion relations containing up to $2s$ powers of the spatial momentum, the subtraction necessary to renormalize $<\\phi^2>$ and $<T_{\\mu\\nu}>$ depends on $s$. We first describe our previous analysis for spatially flat Friedman-Robertson-Walker and Bianchi type I metrics. Then we present a new power counting analysis for general background metrics in the weak field approximation.","authors_text":"Diana L\\'opez Nacir, Francisco D. Mazzitelli","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-05-12T22:06:12Z","title":"On the renormalization procedure for quantum fields with modified dispersion relation in curved spacetimes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0905.1974","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:d6a0c9d586f70c020bbae86d8dcd2920ebe6148b1866477f5aafb893c4542cc0","target":"record","created_at":"2026-05-18T02:13:39Z","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":"a82e087c9c92a88063afdd795db2f2d25da6c39b7b8f37d6079f9c8c996da990","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-05-12T22:06:12Z","title_canon_sha256":"579c3925f667bbfd0e40edf817c15b6410b24c513c16fa0e9c2bd3d069cb9cbd"},"schema_version":"1.0","source":{"id":"0905.1974","kind":"arxiv","version":1}},"canonical_sha256":"062f91ca2b2e9fb0e0c44c35d113620b9fc70256830bac4f074f42d8025cbbf7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"062f91ca2b2e9fb0e0c44c35d113620b9fc70256830bac4f074f42d8025cbbf7","first_computed_at":"2026-05-18T02:13:39.786390Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:13:39.786390Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"VxhpM844Fbdv3MtJjbSrjNqNIRr6N6QJl9phGbpI6aSDPY5k/koWDj7gkb0g2Qs9pT5G6O20EG2vRtvmRutsBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:13:39.786908Z","signed_message":"canonical_sha256_bytes"},"source_id":"0905.1974","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d6a0c9d586f70c020bbae86d8dcd2920ebe6148b1866477f5aafb893c4542cc0","sha256:c9913b4b5fea0343a874670d27671318fedf46780ee32013ce421fa6f6051d13"],"state_sha256":"f7095de5974de4760bd370c835870f4d3ead94236393724fea0226dd0e538cf8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vi59wQB+lh92Yb8/PiN6U8EuFsRhYQHm+6DsFMDSOzRN3dGLlvXk9slJLuRq/f/6MqIy23+nKwRqvTbctjyfCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-10T09:51:05.180950Z","bundle_sha256":"44554d8009f36947b3a77e9b4233ee41a407c6105c68b41c7f1a21c7a750a900"}}