{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:OYWITPD4I3MW5CAMZXBWS4S7SS","short_pith_number":"pith:OYWITPD4","canonical_record":{"source":{"id":"1107.6040","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-29T19:27:26Z","cross_cats_sorted":[],"title_canon_sha256":"26c816aaa74b4be85f0eb8ef3e61eb21e566acb785912c366e01ca6d169e2711","abstract_canon_sha256":"e9d90c98f5272f99b0137d826cedb80c085d7e58d726e17d1b94320512dad3d6"},"schema_version":"1.0"},"canonical_sha256":"762c89bc7c46d96e880ccdc369725f94aa564164647cc0cbd7c1dcb409ca2239","source":{"kind":"arxiv","id":"1107.6040","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.6040","created_at":"2026-05-18T03:57:25Z"},{"alias_kind":"arxiv_version","alias_value":"1107.6040v3","created_at":"2026-05-18T03:57:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.6040","created_at":"2026-05-18T03:57:25Z"},{"alias_kind":"pith_short_12","alias_value":"OYWITPD4I3MW","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"OYWITPD4I3MW5CAM","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"OYWITPD4","created_at":"2026-05-18T12:26:37Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:OYWITPD4I3MW5CAMZXBWS4S7SS","target":"record","payload":{"canonical_record":{"source":{"id":"1107.6040","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-29T19:27:26Z","cross_cats_sorted":[],"title_canon_sha256":"26c816aaa74b4be85f0eb8ef3e61eb21e566acb785912c366e01ca6d169e2711","abstract_canon_sha256":"e9d90c98f5272f99b0137d826cedb80c085d7e58d726e17d1b94320512dad3d6"},"schema_version":"1.0"},"canonical_sha256":"762c89bc7c46d96e880ccdc369725f94aa564164647cc0cbd7c1dcb409ca2239","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T03:57:25.013685Z","signature_b64":"2nhqJ2wObkM+7xO8Axd73FSEWG135YbfZvDO4mQRGZmSqHsdXSUOYjRGmLlyHPrljfJCzPqMlN4ZqOytnHCzDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"762c89bc7c46d96e880ccdc369725f94aa564164647cc0cbd7c1dcb409ca2239","last_reissued_at":"2026-05-18T03:57:25.013050Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T03:57:25.013050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.6040","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T03:57:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R07PWx7wGU6/i9axdl7etlTbV94m0YGF8VsTC5o/g5IcDObUbqH716qIlvbqHsz/7R3nWWnEFrTDe29S1RP4AQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T23:25:09.772592Z"},"content_sha256":"1f6452c1ca4ce6ba958312c3ef8f3cab1129482cdf5c8039a6c7903927ff54e7","schema_version":"1.0","event_id":"sha256:1f6452c1ca4ce6ba958312c3ef8f3cab1129482cdf5c8039a6c7903927ff54e7"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:OYWITPD4I3MW5CAMZXBWS4S7SS","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On Higher Spatial Derivative Field Theories","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"M. Gomes, Pedro R. S. Gomes","submitted_at":"2011-07-29T19:27:26Z","abstract_excerpt":"In this work, we employ renormalization group methods to study the general behavior of field theories possessing anisotropic scaling in the spacetime variables. The Lorentz breaking symmetry that accompanies these models are either soft, if no higher spatial derivative is present, or it may have a more complex structure if higher spatial derivatives are also included. Both situations are discussed in models with only scalar fields and also in models with fermions as a Yukawa like model."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.6040","kind":"arxiv","version":3},"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":"2026-05-18T03:57:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uP3unCTExXwyBx55Dg5WRqVsl4JvKu7XBFR9cVhWV3j7Wq9ADuJo4pJAaRSpjinZvgEU8wFEvX5k+Rw09FM0Aw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T23:25:09.772933Z"},"content_sha256":"f91407b0e6d1ad59f238b2f7c75372a4ec890e7ef809acded2f03a4e220eb2ea","schema_version":"1.0","event_id":"sha256:f91407b0e6d1ad59f238b2f7c75372a4ec890e7ef809acded2f03a4e220eb2ea"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OYWITPD4I3MW5CAMZXBWS4S7SS/bundle.json","state_url":"https://pith.science/pith/OYWITPD4I3MW5CAMZXBWS4S7SS/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OYWITPD4I3MW5CAMZXBWS4S7SS/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":"2026-06-30T23:25:09Z","links":{"resolver":"https://pith.science/pith/OYWITPD4I3MW5CAMZXBWS4S7SS","bundle":"https://pith.science/pith/OYWITPD4I3MW5CAMZXBWS4S7SS/bundle.json","state":"https://pith.science/pith/OYWITPD4I3MW5CAMZXBWS4S7SS/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OYWITPD4I3MW5CAMZXBWS4S7SS/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:OYWITPD4I3MW5CAMZXBWS4S7SS","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":"e9d90c98f5272f99b0137d826cedb80c085d7e58d726e17d1b94320512dad3d6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-29T19:27:26Z","title_canon_sha256":"26c816aaa74b4be85f0eb8ef3e61eb21e566acb785912c366e01ca6d169e2711"},"schema_version":"1.0","source":{"id":"1107.6040","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.6040","created_at":"2026-05-18T03:57:25Z"},{"alias_kind":"arxiv_version","alias_value":"1107.6040v3","created_at":"2026-05-18T03:57:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.6040","created_at":"2026-05-18T03:57:25Z"},{"alias_kind":"pith_short_12","alias_value":"OYWITPD4I3MW","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_16","alias_value":"OYWITPD4I3MW5CAM","created_at":"2026-05-18T12:26:37Z"},{"alias_kind":"pith_short_8","alias_value":"OYWITPD4","created_at":"2026-05-18T12:26:37Z"}],"graph_snapshots":[{"event_id":"sha256:f91407b0e6d1ad59f238b2f7c75372a4ec890e7ef809acded2f03a4e220eb2ea","target":"graph","created_at":"2026-05-18T03:57:25Z","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 work, we employ renormalization group methods to study the general behavior of field theories possessing anisotropic scaling in the spacetime variables. The Lorentz breaking symmetry that accompanies these models are either soft, if no higher spatial derivative is present, or it may have a more complex structure if higher spatial derivatives are also included. Both situations are discussed in models with only scalar fields and also in models with fermions as a Yukawa like model.","authors_text":"M. Gomes, Pedro R. S. Gomes","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-29T19:27:26Z","title":"On Higher Spatial Derivative Field Theories"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.6040","kind":"arxiv","version":3},"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":"sha256:1f6452c1ca4ce6ba958312c3ef8f3cab1129482cdf5c8039a6c7903927ff54e7","target":"record","created_at":"2026-05-18T03:57:25Z","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":"e9d90c98f5272f99b0137d826cedb80c085d7e58d726e17d1b94320512dad3d6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-29T19:27:26Z","title_canon_sha256":"26c816aaa74b4be85f0eb8ef3e61eb21e566acb785912c366e01ca6d169e2711"},"schema_version":"1.0","source":{"id":"1107.6040","kind":"arxiv","version":3}},"canonical_sha256":"762c89bc7c46d96e880ccdc369725f94aa564164647cc0cbd7c1dcb409ca2239","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"762c89bc7c46d96e880ccdc369725f94aa564164647cc0cbd7c1dcb409ca2239","first_computed_at":"2026-05-18T03:57:25.013050Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T03:57:25.013050Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"2nhqJ2wObkM+7xO8Axd73FSEWG135YbfZvDO4mQRGZmSqHsdXSUOYjRGmLlyHPrljfJCzPqMlN4ZqOytnHCzDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T03:57:25.013685Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.6040","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1f6452c1ca4ce6ba958312c3ef8f3cab1129482cdf5c8039a6c7903927ff54e7","sha256:f91407b0e6d1ad59f238b2f7c75372a4ec890e7ef809acded2f03a4e220eb2ea"],"state_sha256":"f881629eaba6b3e28f7b801f8997e6c53680c27c2212dae5d01b08e07860e9f3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4O6nzO4q7a/LTW8KUB09qEDo/FjV9Cdoub9jWB1VSsPPjiVtBtHVi+td+gaLsMMYr6hy2zCAAx0KU5/TRHjaCQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T23:25:09.774877Z","bundle_sha256":"44e1476cb0ebb967c00733c5352948d2ac29ce1a0f86f23116d9dd86c9759a5b"}}