{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:HLQZ4BECIVGVLFMPJGQPVHWPUY","short_pith_number":"pith:HLQZ4BEC","canonical_record":{"source":{"id":"1603.07250","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-23T15:57:41Z","cross_cats_sorted":[],"title_canon_sha256":"c15f5e97c2438386a2e9cfb212a5d2a3e6fd8b307d9e99fdb760806df163e572","abstract_canon_sha256":"dcfcd8690e689a3122550560494fe4c57b51054bb2976569ae72a6a5b8c5a72a"},"schema_version":"1.0"},"canonical_sha256":"3ae19e0482454d55958f49a0fa9ecfa627bc5bd3191c6845c3706c0e7599c9ed","source":{"kind":"arxiv","id":"1603.07250","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.07250","created_at":"2026-05-18T01:09:35Z"},{"alias_kind":"arxiv_version","alias_value":"1603.07250v1","created_at":"2026-05-18T01:09:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.07250","created_at":"2026-05-18T01:09:35Z"},{"alias_kind":"pith_short_12","alias_value":"HLQZ4BECIVGV","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"HLQZ4BECIVGVLFMP","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"HLQZ4BEC","created_at":"2026-05-18T12:30:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:HLQZ4BECIVGVLFMPJGQPVHWPUY","target":"record","payload":{"canonical_record":{"source":{"id":"1603.07250","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-23T15:57:41Z","cross_cats_sorted":[],"title_canon_sha256":"c15f5e97c2438386a2e9cfb212a5d2a3e6fd8b307d9e99fdb760806df163e572","abstract_canon_sha256":"dcfcd8690e689a3122550560494fe4c57b51054bb2976569ae72a6a5b8c5a72a"},"schema_version":"1.0"},"canonical_sha256":"3ae19e0482454d55958f49a0fa9ecfa627bc5bd3191c6845c3706c0e7599c9ed","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:09:35.933114Z","signature_b64":"E+waC2C2ZQwB/VlkT+Ct6V5y1U3PzAJBaKqpdwORuc1qscq3gtl4UacwNqZcQnLrws0Mfp4+0cUPFmQwMVefCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"3ae19e0482454d55958f49a0fa9ecfa627bc5bd3191c6845c3706c0e7599c9ed","last_reissued_at":"2026-05-18T01:09:35.932772Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:09:35.932772Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1603.07250","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":"2026-05-18T01:09:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"VWxEtkRSz5Gzf5na+NDu2ldUhVgEr6aT1BjBkUZZo+tsdYBa4ruYd6f3Tq/45lnulMqxXic4vgMNrwwqZbDDCg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T15:16:09.024901Z"},"content_sha256":"d1ba1bc4adfd690bef4744024f266b17c97e847575a12e62e455b7563d0a59ec","schema_version":"1.0","event_id":"sha256:d1ba1bc4adfd690bef4744024f266b17c97e847575a12e62e455b7563d0a59ec"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:HLQZ4BECIVGVLFMPJGQPVHWPUY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A note on scaling arguments in the effective average action formalism","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Carlo Pagani","submitted_at":"2016-03-23T15:57:41Z","abstract_excerpt":"The effective average action (EAA) is a scale dependent effective action where a scale $k$ is introduced via an infrared regulator. The $k-$dependence of the EAA is governed by an exact flow equation to which one associates a boundary condition at a scale $\\mu$. We show that the $\\mu-$dependence of the EAA is controlled by an equation fully analogous to the Callan-Symanzik equation which allows to define scaling quantities straightforwardly. Particular attention is paid to composite operators which are introduced along with new sources. We discuss some simple solutions to the flow equation for"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.07250","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":"2026-05-18T01:09:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"szrbQXHT2gYlhSLeCdlQ57wbZr3NXVSwV8aa2z7wxQTJ6U+jEduJLXI3A+eE39CnDg2E89HS1JRStjYmffn9Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-21T15:16:09.025247Z"},"content_sha256":"b9318cba63f8525f9b4d18bd36aa0381cc8de2c1770eaeb7c7f0cd29652426f1","schema_version":"1.0","event_id":"sha256:b9318cba63f8525f9b4d18bd36aa0381cc8de2c1770eaeb7c7f0cd29652426f1"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/HLQZ4BECIVGVLFMPJGQPVHWPUY/bundle.json","state_url":"https://pith.science/pith/HLQZ4BECIVGVLFMPJGQPVHWPUY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/HLQZ4BECIVGVLFMPJGQPVHWPUY/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":"2026-05-21T15:16:09Z","links":{"resolver":"https://pith.science/pith/HLQZ4BECIVGVLFMPJGQPVHWPUY","bundle":"https://pith.science/pith/HLQZ4BECIVGVLFMPJGQPVHWPUY/bundle.json","state":"https://pith.science/pith/HLQZ4BECIVGVLFMPJGQPVHWPUY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/HLQZ4BECIVGVLFMPJGQPVHWPUY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:HLQZ4BECIVGVLFMPJGQPVHWPUY","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":"dcfcd8690e689a3122550560494fe4c57b51054bb2976569ae72a6a5b8c5a72a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-23T15:57:41Z","title_canon_sha256":"c15f5e97c2438386a2e9cfb212a5d2a3e6fd8b307d9e99fdb760806df163e572"},"schema_version":"1.0","source":{"id":"1603.07250","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1603.07250","created_at":"2026-05-18T01:09:35Z"},{"alias_kind":"arxiv_version","alias_value":"1603.07250v1","created_at":"2026-05-18T01:09:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1603.07250","created_at":"2026-05-18T01:09:35Z"},{"alias_kind":"pith_short_12","alias_value":"HLQZ4BECIVGV","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_16","alias_value":"HLQZ4BECIVGVLFMP","created_at":"2026-05-18T12:30:19Z"},{"alias_kind":"pith_short_8","alias_value":"HLQZ4BEC","created_at":"2026-05-18T12:30:19Z"}],"graph_snapshots":[{"event_id":"sha256:b9318cba63f8525f9b4d18bd36aa0381cc8de2c1770eaeb7c7f0cd29652426f1","target":"graph","created_at":"2026-05-18T01:09:35Z","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":"The effective average action (EAA) is a scale dependent effective action where a scale $k$ is introduced via an infrared regulator. The $k-$dependence of the EAA is governed by an exact flow equation to which one associates a boundary condition at a scale $\\mu$. We show that the $\\mu-$dependence of the EAA is controlled by an equation fully analogous to the Callan-Symanzik equation which allows to define scaling quantities straightforwardly. Particular attention is paid to composite operators which are introduced along with new sources. We discuss some simple solutions to the flow equation for","authors_text":"Carlo Pagani","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-23T15:57:41Z","title":"A note on scaling arguments in the effective average action formalism"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1603.07250","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:d1ba1bc4adfd690bef4744024f266b17c97e847575a12e62e455b7563d0a59ec","target":"record","created_at":"2026-05-18T01:09:35Z","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":"dcfcd8690e689a3122550560494fe4c57b51054bb2976569ae72a6a5b8c5a72a","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-03-23T15:57:41Z","title_canon_sha256":"c15f5e97c2438386a2e9cfb212a5d2a3e6fd8b307d9e99fdb760806df163e572"},"schema_version":"1.0","source":{"id":"1603.07250","kind":"arxiv","version":1}},"canonical_sha256":"3ae19e0482454d55958f49a0fa9ecfa627bc5bd3191c6845c3706c0e7599c9ed","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"3ae19e0482454d55958f49a0fa9ecfa627bc5bd3191c6845c3706c0e7599c9ed","first_computed_at":"2026-05-18T01:09:35.932772Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:09:35.932772Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"E+waC2C2ZQwB/VlkT+Ct6V5y1U3PzAJBaKqpdwORuc1qscq3gtl4UacwNqZcQnLrws0Mfp4+0cUPFmQwMVefCw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:09:35.933114Z","signed_message":"canonical_sha256_bytes"},"source_id":"1603.07250","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d1ba1bc4adfd690bef4744024f266b17c97e847575a12e62e455b7563d0a59ec","sha256:b9318cba63f8525f9b4d18bd36aa0381cc8de2c1770eaeb7c7f0cd29652426f1"],"state_sha256":"90f6022144b847bf0e546de750cfd4de4e2d8b75a3d6441bcdd741c1b4fa169e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"s9mZP+ke2hFhgn1YMW4eFgvTj7cSs/j4c51PSjkq8agsFe5n/jyDu/Lp3bk6AIp8n21W9P86bRDbdGlON97NAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-21T15:16:09.027400Z","bundle_sha256":"af025140afc80ca33111b1bc7a3b3526f833fa0a8cf8ae38a90d439a1327c11a"}}