{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:IHN2XQ33BW3ZJ4QF4OETMYVQOT","short_pith_number":"pith:IHN2XQ33","canonical_record":{"source":{"id":"1604.06809","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-22T20:01:39Z","cross_cats_sorted":[],"title_canon_sha256":"627f6d12fd7dc5fb73d05b0a51c398f261a3f076a414575da5d833706f7a5c7e","abstract_canon_sha256":"4577da4742a3e655da95605248a021ad521e2a573a18484f2c56affd2e40e357"},"schema_version":"1.0"},"canonical_sha256":"41dbabc37b0db794f205e3893662b074d6f2390e45079a0ddfcb867f0b364ab7","source":{"kind":"arxiv","id":"1604.06809","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.06809","created_at":"2026-05-18T01:16:23Z"},{"alias_kind":"arxiv_version","alias_value":"1604.06809v1","created_at":"2026-05-18T01:16:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.06809","created_at":"2026-05-18T01:16:23Z"},{"alias_kind":"pith_short_12","alias_value":"IHN2XQ33BW3Z","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"IHN2XQ33BW3ZJ4QF","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"IHN2XQ33","created_at":"2026-05-18T12:30:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:IHN2XQ33BW3ZJ4QF4OETMYVQOT","target":"record","payload":{"canonical_record":{"source":{"id":"1604.06809","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-22T20:01:39Z","cross_cats_sorted":[],"title_canon_sha256":"627f6d12fd7dc5fb73d05b0a51c398f261a3f076a414575da5d833706f7a5c7e","abstract_canon_sha256":"4577da4742a3e655da95605248a021ad521e2a573a18484f2c56affd2e40e357"},"schema_version":"1.0"},"canonical_sha256":"41dbabc37b0db794f205e3893662b074d6f2390e45079a0ddfcb867f0b364ab7","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:16:23.894723Z","signature_b64":"ADJoXZBQqlwDkQGefOcODKggZry4r0SLjdADWWX2n0GqNYZrf3r7o1fQGRjgfl8UuQb9+V0dgRSwATe8hEFfBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"41dbabc37b0db794f205e3893662b074d6f2390e45079a0ddfcb867f0b364ab7","last_reissued_at":"2026-05-18T01:16:23.894059Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:16:23.894059Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1604.06809","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":"2026-05-18T01:16:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"1O3z5QeGTei1NdIYkfEgR19LmfgJ0EFMOV2yvLZAS/fdLT4aUveb57Lrb19mGsUBwKTgKy0EeeMEuUrYU/ysDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T10:12:55.717496Z"},"content_sha256":"8455b0807ec3193e92a166dc7352fa1e860b49767e4f7abd7a873915294b4f04","schema_version":"1.0","event_id":"sha256:8455b0807ec3193e92a166dc7352fa1e860b49767e4f7abd7a873915294b4f04"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:IHN2XQ33BW3ZJ4QF4OETMYVQOT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The holographic F theorem","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Marika Taylor, William Woodhead","submitted_at":"2016-04-22T20:01:39Z","abstract_excerpt":"The F theorem states that, for a unitary three dimensional quantum field theory, the F quantity defined in terms of the partition function on a three sphere is positive, stationary at fixed point and decreases monotonically along a renormalization group flow. We construct holographic renormalization group flows corresponding to relevant deformations of three-dimensional conformal field theories on spheres, working to quadratic order in the source. For these renormalization group flows, the F quantity at the IR fixed point is always less than F at the UV fixed point, but F increases along the R"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.06809","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":"2026-05-18T01:16:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"94A3FTOCrDxVMU0Ovi3rsVNHdXr2JwihYKtL8MCYvsQWIE2ohSVf7wulFvoY1qA+XWDpo9UIirVNapUiymbrAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-05T10:12:55.717849Z"},"content_sha256":"f7aac44a0525afd9f5ffc1037546c9ce213cf7d2cfb68af2fc6511f76c29c9bb","schema_version":"1.0","event_id":"sha256:f7aac44a0525afd9f5ffc1037546c9ce213cf7d2cfb68af2fc6511f76c29c9bb"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IHN2XQ33BW3ZJ4QF4OETMYVQOT/bundle.json","state_url":"https://pith.science/pith/IHN2XQ33BW3ZJ4QF4OETMYVQOT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IHN2XQ33BW3ZJ4QF4OETMYVQOT/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":"2026-06-05T10:12:55Z","links":{"resolver":"https://pith.science/pith/IHN2XQ33BW3ZJ4QF4OETMYVQOT","bundle":"https://pith.science/pith/IHN2XQ33BW3ZJ4QF4OETMYVQOT/bundle.json","state":"https://pith.science/pith/IHN2XQ33BW3ZJ4QF4OETMYVQOT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IHN2XQ33BW3ZJ4QF4OETMYVQOT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:IHN2XQ33BW3ZJ4QF4OETMYVQOT","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":"4577da4742a3e655da95605248a021ad521e2a573a18484f2c56affd2e40e357","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-22T20:01:39Z","title_canon_sha256":"627f6d12fd7dc5fb73d05b0a51c398f261a3f076a414575da5d833706f7a5c7e"},"schema_version":"1.0","source":{"id":"1604.06809","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1604.06809","created_at":"2026-05-18T01:16:23Z"},{"alias_kind":"arxiv_version","alias_value":"1604.06809v1","created_at":"2026-05-18T01:16:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1604.06809","created_at":"2026-05-18T01:16:23Z"},{"alias_kind":"pith_short_12","alias_value":"IHN2XQ33BW3Z","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_16","alias_value":"IHN2XQ33BW3ZJ4QF","created_at":"2026-05-18T12:30:22Z"},{"alias_kind":"pith_short_8","alias_value":"IHN2XQ33","created_at":"2026-05-18T12:30:22Z"}],"graph_snapshots":[{"event_id":"sha256:f7aac44a0525afd9f5ffc1037546c9ce213cf7d2cfb68af2fc6511f76c29c9bb","target":"graph","created_at":"2026-05-18T01:16:23Z","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 F theorem states that, for a unitary three dimensional quantum field theory, the F quantity defined in terms of the partition function on a three sphere is positive, stationary at fixed point and decreases monotonically along a renormalization group flow. We construct holographic renormalization group flows corresponding to relevant deformations of three-dimensional conformal field theories on spheres, working to quadratic order in the source. For these renormalization group flows, the F quantity at the IR fixed point is always less than F at the UV fixed point, but F increases along the R","authors_text":"Marika Taylor, William Woodhead","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-22T20:01:39Z","title":"The holographic F theorem"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1604.06809","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":"sha256:8455b0807ec3193e92a166dc7352fa1e860b49767e4f7abd7a873915294b4f04","target":"record","created_at":"2026-05-18T01:16:23Z","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":"4577da4742a3e655da95605248a021ad521e2a573a18484f2c56affd2e40e357","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-04-22T20:01:39Z","title_canon_sha256":"627f6d12fd7dc5fb73d05b0a51c398f261a3f076a414575da5d833706f7a5c7e"},"schema_version":"1.0","source":{"id":"1604.06809","kind":"arxiv","version":1}},"canonical_sha256":"41dbabc37b0db794f205e3893662b074d6f2390e45079a0ddfcb867f0b364ab7","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"41dbabc37b0db794f205e3893662b074d6f2390e45079a0ddfcb867f0b364ab7","first_computed_at":"2026-05-18T01:16:23.894059Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:16:23.894059Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"ADJoXZBQqlwDkQGefOcODKggZry4r0SLjdADWWX2n0GqNYZrf3r7o1fQGRjgfl8UuQb9+V0dgRSwATe8hEFfBA==","signature_status":"signed_v1","signed_at":"2026-05-18T01:16:23.894723Z","signed_message":"canonical_sha256_bytes"},"source_id":"1604.06809","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8455b0807ec3193e92a166dc7352fa1e860b49767e4f7abd7a873915294b4f04","sha256:f7aac44a0525afd9f5ffc1037546c9ce213cf7d2cfb68af2fc6511f76c29c9bb"],"state_sha256":"31e105191db0baeb56177a30e927ff725da12626fe43a3a21b5d3badb54b10bf"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pHk8EeW6DYgLdvZcndNS0tfz/ckcjraAsjvPwTmwIZfdd6D7ieRFIuyJwbvC97fV2+BDvSCNX/N0StSX3mC5Dg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-05T10:12:55.719888Z","bundle_sha256":"88a393abd31720209fb64b7991603760c59141e7db127547e6c157204e16a85d"}}