{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:2DSHV3BAAL5KCCVGO6CLBXR6W6","short_pith_number":"pith:2DSHV3BA","canonical_record":{"source":{"id":"1107.0870","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-05T13:30:56Z","cross_cats_sorted":[],"title_canon_sha256":"8f511d88f20c6a60fcd3c4c437172aa6686148550b5ebd3e063ae0728c8bf9af","abstract_canon_sha256":"3c8d695cde10a460620e5f4463f307209b1fa72e9671cdae514aa22fafb923fe"},"schema_version":"1.0"},"canonical_sha256":"d0e47aec2002faa10aa67784b0de3eb7bd7e44b840fcc7780f086b67417aa969","source":{"kind":"arxiv","id":"1107.0870","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.0870","created_at":"2026-05-18T02:01:24Z"},{"alias_kind":"arxiv_version","alias_value":"1107.0870v1","created_at":"2026-05-18T02:01:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.0870","created_at":"2026-05-18T02:01:24Z"},{"alias_kind":"pith_short_12","alias_value":"2DSHV3BAAL5K","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"2DSHV3BAAL5KCCVG","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"2DSHV3BA","created_at":"2026-05-18T12:26:18Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:2DSHV3BAAL5KCCVGO6CLBXR6W6","target":"record","payload":{"canonical_record":{"source":{"id":"1107.0870","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-05T13:30:56Z","cross_cats_sorted":[],"title_canon_sha256":"8f511d88f20c6a60fcd3c4c437172aa6686148550b5ebd3e063ae0728c8bf9af","abstract_canon_sha256":"3c8d695cde10a460620e5f4463f307209b1fa72e9671cdae514aa22fafb923fe"},"schema_version":"1.0"},"canonical_sha256":"d0e47aec2002faa10aa67784b0de3eb7bd7e44b840fcc7780f086b67417aa969","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:01:24.702005Z","signature_b64":"/prG93u1Ap9oONcYtyySEIKMMD5wXmyHF6JObhfhfTLYwZxI3SEJfzHjdPfWoJWtz/ixmbeXK/etKjQWnx6pCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"d0e47aec2002faa10aa67784b0de3eb7bd7e44b840fcc7780f086b67417aa969","last_reissued_at":"2026-05-18T02:01:24.701434Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:01:24.701434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1107.0870","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":"2026-05-18T02:01:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"dwbNAO0SDjsW1FUewgxe0v9bvaeN/9nD02BYLEbOUFb5IUV/7JAiZK/gQepB9EDyNK9UCNAloXdyuZmhNlKECw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T11:55:10.568677Z"},"content_sha256":"fb5c5c3b2905009c3bd6471af41984d83f51c474b80b29c359184bc702859ceb","schema_version":"1.0","event_id":"sha256:fb5c5c3b2905009c3bd6471af41984d83f51c474b80b29c359184bc702859ceb"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:2DSHV3BAAL5KCCVGO6CLBXR6W6","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Classical Dimensional Transmutation and Confinement","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Cesar Gomez, Gia Dvali, Slava Mukhanov","submitted_at":"2011-07-05T13:30:56Z","abstract_excerpt":"We observe that probing certain classical field theories by external sources uncovers the underlying renormalization group structure, including the phenomenon of dimensional transmutation, at purely-classical level. We perform this study on an example of $\\lambda\\phi^{4}$ theory and unravel asymptotic freedom and triviality for negative and positives signs of $\\lambda$ respectively. We derive exact classical $\\beta$ function equation. Solving this equation we find that an isolated source has an infinite energy and therefore cannot exist as an asymptotic state. On the other hand a dipole, built"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.0870","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":"2026-05-18T02:01:24Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"KJW9652cU+edkiA9sIxVToWlxzMs1VrHg+2UZgSJOD3++CIazFTyY/JfqKHPTKJul7gTp5TdmyRoandRA32LBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-26T11:55:10.569364Z"},"content_sha256":"fbd329dc9ead8864dd1dfb6c9689da731a14fec682e726ffe041ff6a9f2c884e","schema_version":"1.0","event_id":"sha256:fbd329dc9ead8864dd1dfb6c9689da731a14fec682e726ffe041ff6a9f2c884e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/2DSHV3BAAL5KCCVGO6CLBXR6W6/bundle.json","state_url":"https://pith.science/pith/2DSHV3BAAL5KCCVGO6CLBXR6W6/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/2DSHV3BAAL5KCCVGO6CLBXR6W6/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":"2026-05-26T11:55:10Z","links":{"resolver":"https://pith.science/pith/2DSHV3BAAL5KCCVGO6CLBXR6W6","bundle":"https://pith.science/pith/2DSHV3BAAL5KCCVGO6CLBXR6W6/bundle.json","state":"https://pith.science/pith/2DSHV3BAAL5KCCVGO6CLBXR6W6/state.json","well_known_bundle":"https://pith.science/.well-known/pith/2DSHV3BAAL5KCCVGO6CLBXR6W6/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:2DSHV3BAAL5KCCVGO6CLBXR6W6","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":"3c8d695cde10a460620e5f4463f307209b1fa72e9671cdae514aa22fafb923fe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-05T13:30:56Z","title_canon_sha256":"8f511d88f20c6a60fcd3c4c437172aa6686148550b5ebd3e063ae0728c8bf9af"},"schema_version":"1.0","source":{"id":"1107.0870","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1107.0870","created_at":"2026-05-18T02:01:24Z"},{"alias_kind":"arxiv_version","alias_value":"1107.0870v1","created_at":"2026-05-18T02:01:24Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1107.0870","created_at":"2026-05-18T02:01:24Z"},{"alias_kind":"pith_short_12","alias_value":"2DSHV3BAAL5K","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_16","alias_value":"2DSHV3BAAL5KCCVG","created_at":"2026-05-18T12:26:18Z"},{"alias_kind":"pith_short_8","alias_value":"2DSHV3BA","created_at":"2026-05-18T12:26:18Z"}],"graph_snapshots":[{"event_id":"sha256:fbd329dc9ead8864dd1dfb6c9689da731a14fec682e726ffe041ff6a9f2c884e","target":"graph","created_at":"2026-05-18T02:01:24Z","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 observe that probing certain classical field theories by external sources uncovers the underlying renormalization group structure, including the phenomenon of dimensional transmutation, at purely-classical level. We perform this study on an example of $\\lambda\\phi^{4}$ theory and unravel asymptotic freedom and triviality for negative and positives signs of $\\lambda$ respectively. We derive exact classical $\\beta$ function equation. Solving this equation we find that an isolated source has an infinite energy and therefore cannot exist as an asymptotic state. On the other hand a dipole, built","authors_text":"Cesar Gomez, Gia Dvali, Slava Mukhanov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-05T13:30:56Z","title":"Classical Dimensional Transmutation and Confinement"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1107.0870","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:fb5c5c3b2905009c3bd6471af41984d83f51c474b80b29c359184bc702859ceb","target":"record","created_at":"2026-05-18T02:01:24Z","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":"3c8d695cde10a460620e5f4463f307209b1fa72e9671cdae514aa22fafb923fe","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-07-05T13:30:56Z","title_canon_sha256":"8f511d88f20c6a60fcd3c4c437172aa6686148550b5ebd3e063ae0728c8bf9af"},"schema_version":"1.0","source":{"id":"1107.0870","kind":"arxiv","version":1}},"canonical_sha256":"d0e47aec2002faa10aa67784b0de3eb7bd7e44b840fcc7780f086b67417aa969","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"d0e47aec2002faa10aa67784b0de3eb7bd7e44b840fcc7780f086b67417aa969","first_computed_at":"2026-05-18T02:01:24.701434Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:01:24.701434Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"/prG93u1Ap9oONcYtyySEIKMMD5wXmyHF6JObhfhfTLYwZxI3SEJfzHjdPfWoJWtz/ixmbeXK/etKjQWnx6pCg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:01:24.702005Z","signed_message":"canonical_sha256_bytes"},"source_id":"1107.0870","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:fb5c5c3b2905009c3bd6471af41984d83f51c474b80b29c359184bc702859ceb","sha256:fbd329dc9ead8864dd1dfb6c9689da731a14fec682e726ffe041ff6a9f2c884e"],"state_sha256":"789a314816ebb5040cf0447edef3c488bd8f9b326be1af18ff3643db5b2f8acc"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QPtbgiPF9qvpfwh+smPpIQ9SmHdsAa80ti8om1mm2+OzhgSSOHV1NsMqAXgJK0gp04Biug2OPsiAPFrXacTIAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-26T11:55:10.573296Z","bundle_sha256":"34e26951207c227e14e834b217b1ca781211969ba8615c76b7240da0a7b3d705"}}