{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2007:AGWL3YNBYFSRWXK7GGWEOBN7TA","short_pith_number":"pith:AGWL3YNB","canonical_record":{"source":{"id":"0706.2553","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2007-06-18T08:50:15Z","cross_cats_sorted":[],"title_canon_sha256":"2b3dfe32b7a957b3edfbc38a5f8231aae6e478256527b76bbfe6048e028643ba","abstract_canon_sha256":"c3d01c816034a2a8177394e3db0b6e6736dea4657256161fad719109898c17a4"},"schema_version":"1.0"},"canonical_sha256":"01acbde1a1c1651b5d5f31ac4705bf980b43ea7bb186224897d3295209671131","source":{"kind":"arxiv","id":"0706.2553","version":4},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0706.2553","created_at":"2026-05-18T01:17:35Z"},{"alias_kind":"arxiv_version","alias_value":"0706.2553v4","created_at":"2026-05-18T01:17:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0706.2553","created_at":"2026-05-18T01:17:35Z"},{"alias_kind":"pith_short_12","alias_value":"AGWL3YNBYFSR","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"AGWL3YNBYFSRWXK7","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"AGWL3YNB","created_at":"2026-05-18T12:25:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2007:AGWL3YNBYFSRWXK7GGWEOBN7TA","target":"record","payload":{"canonical_record":{"source":{"id":"0706.2553","kind":"arxiv","version":4},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2007-06-18T08:50:15Z","cross_cats_sorted":[],"title_canon_sha256":"2b3dfe32b7a957b3edfbc38a5f8231aae6e478256527b76bbfe6048e028643ba","abstract_canon_sha256":"c3d01c816034a2a8177394e3db0b6e6736dea4657256161fad719109898c17a4"},"schema_version":"1.0"},"canonical_sha256":"01acbde1a1c1651b5d5f31ac4705bf980b43ea7bb186224897d3295209671131","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:17:35.607384Z","signature_b64":"MPdBX4ygGdkBZo94NkzgR81j84GumgUvMGEjlP/pNQc72npyJoat8th86bpxa7n8Ch5C7PZlscFWCQd/aitoCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"01acbde1a1c1651b5d5f31ac4705bf980b43ea7bb186224897d3295209671131","last_reissued_at":"2026-05-18T01:17:35.606614Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:17:35.606614Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0706.2553","source_version":4,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:17:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xbv/wDbTVVDVkHvwxvYiaOFAI+I70UEanqpuOvKyvkg8G7VzZhy7U+3QnoXZj0/YvXvz00LQEdwGD8qC98pgAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T17:23:14.055944Z"},"content_sha256":"f70fa3fd5d1f36510fad1f939fe277081fe568059e5c30031218d5c227a294c5","schema_version":"1.0","event_id":"sha256:f70fa3fd5d1f36510fad1f939fe277081fe568059e5c30031218d5c227a294c5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2007:AGWL3YNBYFSRWXK7GGWEOBN7TA","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Asymptotic freedom and quarks confinement treated through Thompson's approach","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-ph","authors_text":"A. C. Amaro de Faria Jr., Claudio Nassif, P. R. Silva","submitted_at":"2007-06-18T08:50:15Z","abstract_excerpt":"In this work, we first use Thompson's renormalization group method to treat QCD-vacuum behavior close to the regime of asymptotic freedom. QCD-vacuum behaves effectively like a \"paramagnetic system\" of a classical theory in the sense that virtual color charges (gluons) emerge in it as spin effect of a paramagnetic material when a magnetic field aligns their microscopic magnetic dipoles. Making a classical analogy with the paramagnetism of Landau's theory,we are able to introduce a kind of Landau effective action without temperature and phase transition for simply representing QCD-vacuum behavi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0706.2553","kind":"arxiv","version":4},"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":"2026-05-18T01:17:35Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"kJiKAtAAz/LtDG9G/Gv+Ibfp/NYpT63K5GlSN1FHUCdTmfCBou8cz+wUt+5+B/H2DZE7bWBOmH3LQbaIK3Y4BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-06T17:23:14.056712Z"},"content_sha256":"95b556419d700507b2eabf09bbc30c716d01046bf510062a20f90bc216d3f74e","schema_version":"1.0","event_id":"sha256:95b556419d700507b2eabf09bbc30c716d01046bf510062a20f90bc216d3f74e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AGWL3YNBYFSRWXK7GGWEOBN7TA/bundle.json","state_url":"https://pith.science/pith/AGWL3YNBYFSRWXK7GGWEOBN7TA/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AGWL3YNBYFSRWXK7GGWEOBN7TA/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":"2026-06-06T17:23:14Z","links":{"resolver":"https://pith.science/pith/AGWL3YNBYFSRWXK7GGWEOBN7TA","bundle":"https://pith.science/pith/AGWL3YNBYFSRWXK7GGWEOBN7TA/bundle.json","state":"https://pith.science/pith/AGWL3YNBYFSRWXK7GGWEOBN7TA/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AGWL3YNBYFSRWXK7GGWEOBN7TA/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2007:AGWL3YNBYFSRWXK7GGWEOBN7TA","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":"c3d01c816034a2a8177394e3db0b6e6736dea4657256161fad719109898c17a4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2007-06-18T08:50:15Z","title_canon_sha256":"2b3dfe32b7a957b3edfbc38a5f8231aae6e478256527b76bbfe6048e028643ba"},"schema_version":"1.0","source":{"id":"0706.2553","kind":"arxiv","version":4}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0706.2553","created_at":"2026-05-18T01:17:35Z"},{"alias_kind":"arxiv_version","alias_value":"0706.2553v4","created_at":"2026-05-18T01:17:35Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0706.2553","created_at":"2026-05-18T01:17:35Z"},{"alias_kind":"pith_short_12","alias_value":"AGWL3YNBYFSR","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_16","alias_value":"AGWL3YNBYFSRWXK7","created_at":"2026-05-18T12:25:55Z"},{"alias_kind":"pith_short_8","alias_value":"AGWL3YNB","created_at":"2026-05-18T12:25:55Z"}],"graph_snapshots":[{"event_id":"sha256:95b556419d700507b2eabf09bbc30c716d01046bf510062a20f90bc216d3f74e","target":"graph","created_at":"2026-05-18T01:17:35Z","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":"In this work, we first use Thompson's renormalization group method to treat QCD-vacuum behavior close to the regime of asymptotic freedom. QCD-vacuum behaves effectively like a \"paramagnetic system\" of a classical theory in the sense that virtual color charges (gluons) emerge in it as spin effect of a paramagnetic material when a magnetic field aligns their microscopic magnetic dipoles. Making a classical analogy with the paramagnetism of Landau's theory,we are able to introduce a kind of Landau effective action without temperature and phase transition for simply representing QCD-vacuum behavi","authors_text":"A. C. Amaro de Faria Jr., Claudio Nassif, P. R. Silva","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2007-06-18T08:50:15Z","title":"Asymptotic freedom and quarks confinement treated through Thompson's approach"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0706.2553","kind":"arxiv","version":4},"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:f70fa3fd5d1f36510fad1f939fe277081fe568059e5c30031218d5c227a294c5","target":"record","created_at":"2026-05-18T01:17:35Z","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":"c3d01c816034a2a8177394e3db0b6e6736dea4657256161fad719109898c17a4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2007-06-18T08:50:15Z","title_canon_sha256":"2b3dfe32b7a957b3edfbc38a5f8231aae6e478256527b76bbfe6048e028643ba"},"schema_version":"1.0","source":{"id":"0706.2553","kind":"arxiv","version":4}},"canonical_sha256":"01acbde1a1c1651b5d5f31ac4705bf980b43ea7bb186224897d3295209671131","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"01acbde1a1c1651b5d5f31ac4705bf980b43ea7bb186224897d3295209671131","first_computed_at":"2026-05-18T01:17:35.606614Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:17:35.606614Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"MPdBX4ygGdkBZo94NkzgR81j84GumgUvMGEjlP/pNQc72npyJoat8th86bpxa7n8Ch5C7PZlscFWCQd/aitoCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:17:35.607384Z","signed_message":"canonical_sha256_bytes"},"source_id":"0706.2553","source_kind":"arxiv","source_version":4}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f70fa3fd5d1f36510fad1f939fe277081fe568059e5c30031218d5c227a294c5","sha256:95b556419d700507b2eabf09bbc30c716d01046bf510062a20f90bc216d3f74e"],"state_sha256":"9ec866f23ee66ac0c034061550fd32ed202ba283024cf77e6749c3161a06e420"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"eoHj0+wkyvS5kRlqdbPPAbTU1Wv4sWDi7i5H6MFh5K4/P5a/Nld+z1nGDKz7Be1eu4LYopt5ex1uHWrSQkd4CA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-06T17:23:14.060541Z","bundle_sha256":"97837ccd6d1fa8d3db7cb4abff02ec22a5e69cf078d4f5393e7f982d7df269e6"}}