{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:WZ3B7QIFQDDOYFNEKWAKDXTPTP","short_pith_number":"pith:WZ3B7QIF","canonical_record":{"source":{"id":"1607.07074","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-07-24T17:51:48Z","cross_cats_sorted":[],"title_canon_sha256":"1115238393853016dd6f240d886ed899bc2e8f1d89513062e3353569228ec3fa","abstract_canon_sha256":"fe9edbec4e0dc8c0a28c7a9013ff21c372905d99b602d1c677b47cd7f6cd0add"},"schema_version":"1.0"},"canonical_sha256":"b6761fc10580c6ec15a45580a1de6f9beb9e6c5594430118c7ca01d457cceb95","source":{"kind":"arxiv","id":"1607.07074","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.07074","created_at":"2026-05-18T00:54:35Z"},{"alias_kind":"arxiv_version","alias_value":"1607.07074v2","created_at":"2026-05-18T00:54:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.07074","created_at":"2026-05-18T00:54:35Z"},{"alias_kind":"pith_short_12","alias_value":"WZ3B7QIFQDDO","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"WZ3B7QIFQDDOYFNE","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"WZ3B7QIF","created_at":"2026-05-18T12:30:51Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:WZ3B7QIFQDDOYFNEKWAKDXTPTP","target":"record","payload":{"canonical_record":{"source":{"id":"1607.07074","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-07-24T17:51:48Z","cross_cats_sorted":[],"title_canon_sha256":"1115238393853016dd6f240d886ed899bc2e8f1d89513062e3353569228ec3fa","abstract_canon_sha256":"fe9edbec4e0dc8c0a28c7a9013ff21c372905d99b602d1c677b47cd7f6cd0add"},"schema_version":"1.0"},"canonical_sha256":"b6761fc10580c6ec15a45580a1de6f9beb9e6c5594430118c7ca01d457cceb95","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:54:35.347228Z","signature_b64":"CUKblX2tw2pMM4zhliH/JXmgbI5gfG5W0HCorzsKIIRNlgPi7TGJlPYVZYIZz8xz9jHw5kLhJFzvljLCBgtIAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b6761fc10580c6ec15a45580a1de6f9beb9e6c5594430118c7ca01d457cceb95","last_reissued_at":"2026-05-18T00:54:35.346673Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:54:35.346673Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1607.07074","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:54:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yjqp9PRNhDLFdFr44qq7AouGcywEpB2Sd0DfCgoQxFeInRkbUR5mmeK5HYxhMIzo7+iA7bQnrGPYdq47OotYAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T10:17:50.116151Z"},"content_sha256":"149130b60920b85b1af03dda3f51671679344c8f2f2eb11232d7dc53cddebc82","schema_version":"1.0","event_id":"sha256:149130b60920b85b1af03dda3f51671679344c8f2f2eb11232d7dc53cddebc82"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:WZ3B7QIFQDDOYFNEKWAKDXTPTP","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Covariant and background independent functional RG flow for the effective average action","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Gian Paolo Vacca, Mahmoud Safari","submitted_at":"2016-07-24T17:51:48Z","abstract_excerpt":"We extend our prescription for the construction of a covariant and background-independent effective action for scalar quantum field theories to the case where momentum modes below a certain scale are suppressed by the presence of an infrared regulator. The key step is an appropriate choice of the infrared cutoff for which the Ward identity, capturing the information from single-field dependence of the ultraviolet action, continues to be exactly solvable, and therefore, in addition to covariance, manifest background independence of the effective action is guaranteed at any scale. A practical co"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.07074","kind":"arxiv","version":2},"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":"2026-05-18T00:54:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kxYmgaxDGD5P9+NLRpAFkQN7I0EAnKvyQ5KG9+ZhVX3cjQjv3U6Okv+IcaecvoOThneAaWeMrlOGa7tmoVzjBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-07T10:17:50.116753Z"},"content_sha256":"00b72213615b34552b1dabd7deed86e42514d380023739cefda46fb8f4387e78","schema_version":"1.0","event_id":"sha256:00b72213615b34552b1dabd7deed86e42514d380023739cefda46fb8f4387e78"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WZ3B7QIFQDDOYFNEKWAKDXTPTP/bundle.json","state_url":"https://pith.science/pith/WZ3B7QIFQDDOYFNEKWAKDXTPTP/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WZ3B7QIFQDDOYFNEKWAKDXTPTP/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":"2026-06-07T10:17:50Z","links":{"resolver":"https://pith.science/pith/WZ3B7QIFQDDOYFNEKWAKDXTPTP","bundle":"https://pith.science/pith/WZ3B7QIFQDDOYFNEKWAKDXTPTP/bundle.json","state":"https://pith.science/pith/WZ3B7QIFQDDOYFNEKWAKDXTPTP/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WZ3B7QIFQDDOYFNEKWAKDXTPTP/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:WZ3B7QIFQDDOYFNEKWAKDXTPTP","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":"fe9edbec4e0dc8c0a28c7a9013ff21c372905d99b602d1c677b47cd7f6cd0add","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-07-24T17:51:48Z","title_canon_sha256":"1115238393853016dd6f240d886ed899bc2e8f1d89513062e3353569228ec3fa"},"schema_version":"1.0","source":{"id":"1607.07074","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1607.07074","created_at":"2026-05-18T00:54:35Z"},{"alias_kind":"arxiv_version","alias_value":"1607.07074v2","created_at":"2026-05-18T00:54:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1607.07074","created_at":"2026-05-18T00:54:35Z"},{"alias_kind":"pith_short_12","alias_value":"WZ3B7QIFQDDO","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_16","alias_value":"WZ3B7QIFQDDOYFNE","created_at":"2026-05-18T12:30:51Z"},{"alias_kind":"pith_short_8","alias_value":"WZ3B7QIF","created_at":"2026-05-18T12:30:51Z"}],"graph_snapshots":[{"event_id":"sha256:00b72213615b34552b1dabd7deed86e42514d380023739cefda46fb8f4387e78","target":"graph","created_at":"2026-05-18T00:54:35Z","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 extend our prescription for the construction of a covariant and background-independent effective action for scalar quantum field theories to the case where momentum modes below a certain scale are suppressed by the presence of an infrared regulator. The key step is an appropriate choice of the infrared cutoff for which the Ward identity, capturing the information from single-field dependence of the ultraviolet action, continues to be exactly solvable, and therefore, in addition to covariance, manifest background independence of the effective action is guaranteed at any scale. A practical co","authors_text":"Gian Paolo Vacca, Mahmoud Safari","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-07-24T17:51:48Z","title":"Covariant and background independent functional RG flow for the effective average action"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1607.07074","kind":"arxiv","version":2},"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":"sha256:149130b60920b85b1af03dda3f51671679344c8f2f2eb11232d7dc53cddebc82","target":"record","created_at":"2026-05-18T00:54:35Z","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":"fe9edbec4e0dc8c0a28c7a9013ff21c372905d99b602d1c677b47cd7f6cd0add","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-07-24T17:51:48Z","title_canon_sha256":"1115238393853016dd6f240d886ed899bc2e8f1d89513062e3353569228ec3fa"},"schema_version":"1.0","source":{"id":"1607.07074","kind":"arxiv","version":2}},"canonical_sha256":"b6761fc10580c6ec15a45580a1de6f9beb9e6c5594430118c7ca01d457cceb95","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b6761fc10580c6ec15a45580a1de6f9beb9e6c5594430118c7ca01d457cceb95","first_computed_at":"2026-05-18T00:54:35.346673Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:54:35.346673Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"CUKblX2tw2pMM4zhliH/JXmgbI5gfG5W0HCorzsKIIRNlgPi7TGJlPYVZYIZz8xz9jHw5kLhJFzvljLCBgtIAA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:54:35.347228Z","signed_message":"canonical_sha256_bytes"},"source_id":"1607.07074","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:149130b60920b85b1af03dda3f51671679344c8f2f2eb11232d7dc53cddebc82","sha256:00b72213615b34552b1dabd7deed86e42514d380023739cefda46fb8f4387e78"],"state_sha256":"a05f79f69d8d7a7d69d429195fc0b61345c6e4ba41a8cda2b5749e176d5e66e4"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"iUDsYoZYj7XydAQ5ISIjnSlPpNCbWG4B+ABV/bV1gxh0e8sfaVhn8Rqw+P2YJr4pJMDYwFAu3Skkk13zN4RRDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-07T10:17:50.120560Z","bundle_sha256":"4ab2c06588baae66131a0e0ede998228626e9ed26054f52e9ba8201b3b9928a2"}}