{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:LARB7U64RZ2IHX6KDBMRBCNTHR","short_pith_number":"pith:LARB7U64","canonical_record":{"source":{"id":"1112.5856","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-26T13:31:29Z","cross_cats_sorted":["hep-ph","math-ph","math.MP"],"title_canon_sha256":"a423135306401b7977a2f4a78183e8dca4d7ef5b441cac2107102c14989683e3","abstract_canon_sha256":"82cda1c05bc4962069deef627508c647c8b0da0769d7a046cc1d252bda4db394"},"schema_version":"1.0"},"canonical_sha256":"58221fd3dc8e7483dfca18591089b33c77ba74820530258d7d7e3a73352e4502","source":{"kind":"arxiv","id":"1112.5856","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.5856","created_at":"2026-05-18T04:05:37Z"},{"alias_kind":"arxiv_version","alias_value":"1112.5856v1","created_at":"2026-05-18T04:05:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.5856","created_at":"2026-05-18T04:05:37Z"},{"alias_kind":"pith_short_12","alias_value":"LARB7U64RZ2I","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"LARB7U64RZ2IHX6K","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"LARB7U64","created_at":"2026-05-18T12:26:34Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:LARB7U64RZ2IHX6KDBMRBCNTHR","target":"record","payload":{"canonical_record":{"source":{"id":"1112.5856","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-26T13:31:29Z","cross_cats_sorted":["hep-ph","math-ph","math.MP"],"title_canon_sha256":"a423135306401b7977a2f4a78183e8dca4d7ef5b441cac2107102c14989683e3","abstract_canon_sha256":"82cda1c05bc4962069deef627508c647c8b0da0769d7a046cc1d252bda4db394"},"schema_version":"1.0"},"canonical_sha256":"58221fd3dc8e7483dfca18591089b33c77ba74820530258d7d7e3a73352e4502","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:05:37.419309Z","signature_b64":"h6JuyTKQ9uBpvyM9Ii8MDRFaIID2W5YrBWy1BOpaVZXLYLtts2hpCxCEJgPxQm+cS7jEonF+zKSHe6db38U8DQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"58221fd3dc8e7483dfca18591089b33c77ba74820530258d7d7e3a73352e4502","last_reissued_at":"2026-05-18T04:05:37.417801Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:05:37.417801Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1112.5856","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":"2026-05-18T04:05:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"BxqwQXTyVdTtnWVz+GFuQeDoMPF5AOQKgWlzG9LeRKJpuSspV8MR/kCWpUthCHvskEbC9tTU9XMP9w2GeeiSBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T04:33:31.280451Z"},"content_sha256":"24be97019579d530d8df48b68a4f2573373f8b36e3616d1a1e644558271fba77","schema_version":"1.0","event_id":"sha256:24be97019579d530d8df48b68a4f2573373f8b36e3616d1a1e644558271fba77"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:LARB7U64RZ2IHX6KDBMRBCNTHR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Bound States in Gauge Theories as the Poincare Group Representations","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","math-ph","math.MP"],"primary_cat":"hep-th","authors_text":"A. E. Dorokhov, A. Yu. Cherny, Nguyen Suan Han, V. I. Shilin, V. N. Pervushin","submitted_at":"2011-12-26T13:31:29Z","abstract_excerpt":"The bound state generating functional is constructed in gauge theories. This construction is based on the Dirac Hamiltonian approach to gauge theories, the Poincar\\'e group classification of fields and their nonlocal bound states, and the Markov-Yukawa constraint of irreducibility. The generating functional contains additional anomalous creations of pseudoscalar bound states: para-positronium in QED and mesons in QCD in the two gamma processes of the type of \\gamma + \\gamma = \\pi_0+para-positronium. The functional allows us to establish physically clear and transparent relations between the pe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.5856","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":"2026-05-18T04:05:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"7e8qBJbtKJ9qoJNsSy+chRRBRG3qE1Sy38asN5ZwCakbJHwUlO1Q9j72v9cC4MMlxRrw5+3+hsZnz96Hd55CBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-24T04:33:31.280785Z"},"content_sha256":"740af69afa4f01301767f447353010d6fcaa093b84143b146b14f64a496de59c","schema_version":"1.0","event_id":"sha256:740af69afa4f01301767f447353010d6fcaa093b84143b146b14f64a496de59c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/LARB7U64RZ2IHX6KDBMRBCNTHR/bundle.json","state_url":"https://pith.science/pith/LARB7U64RZ2IHX6KDBMRBCNTHR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/LARB7U64RZ2IHX6KDBMRBCNTHR/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":"2026-06-24T04:33:31Z","links":{"resolver":"https://pith.science/pith/LARB7U64RZ2IHX6KDBMRBCNTHR","bundle":"https://pith.science/pith/LARB7U64RZ2IHX6KDBMRBCNTHR/bundle.json","state":"https://pith.science/pith/LARB7U64RZ2IHX6KDBMRBCNTHR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/LARB7U64RZ2IHX6KDBMRBCNTHR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:LARB7U64RZ2IHX6KDBMRBCNTHR","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":"82cda1c05bc4962069deef627508c647c8b0da0769d7a046cc1d252bda4db394","cross_cats_sorted":["hep-ph","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-26T13:31:29Z","title_canon_sha256":"a423135306401b7977a2f4a78183e8dca4d7ef5b441cac2107102c14989683e3"},"schema_version":"1.0","source":{"id":"1112.5856","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1112.5856","created_at":"2026-05-18T04:05:37Z"},{"alias_kind":"arxiv_version","alias_value":"1112.5856v1","created_at":"2026-05-18T04:05:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1112.5856","created_at":"2026-05-18T04:05:37Z"},{"alias_kind":"pith_short_12","alias_value":"LARB7U64RZ2I","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_16","alias_value":"LARB7U64RZ2IHX6K","created_at":"2026-05-18T12:26:34Z"},{"alias_kind":"pith_short_8","alias_value":"LARB7U64","created_at":"2026-05-18T12:26:34Z"}],"graph_snapshots":[{"event_id":"sha256:740af69afa4f01301767f447353010d6fcaa093b84143b146b14f64a496de59c","target":"graph","created_at":"2026-05-18T04:05:37Z","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 bound state generating functional is constructed in gauge theories. This construction is based on the Dirac Hamiltonian approach to gauge theories, the Poincar\\'e group classification of fields and their nonlocal bound states, and the Markov-Yukawa constraint of irreducibility. The generating functional contains additional anomalous creations of pseudoscalar bound states: para-positronium in QED and mesons in QCD in the two gamma processes of the type of \\gamma + \\gamma = \\pi_0+para-positronium. The functional allows us to establish physically clear and transparent relations between the pe","authors_text":"A. E. Dorokhov, A. Yu. Cherny, Nguyen Suan Han, V. I. Shilin, V. N. Pervushin","cross_cats":["hep-ph","math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-26T13:31:29Z","title":"Bound States in Gauge Theories as the Poincare Group Representations"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1112.5856","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":"sha256:24be97019579d530d8df48b68a4f2573373f8b36e3616d1a1e644558271fba77","target":"record","created_at":"2026-05-18T04:05:37Z","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":"82cda1c05bc4962069deef627508c647c8b0da0769d7a046cc1d252bda4db394","cross_cats_sorted":["hep-ph","math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-12-26T13:31:29Z","title_canon_sha256":"a423135306401b7977a2f4a78183e8dca4d7ef5b441cac2107102c14989683e3"},"schema_version":"1.0","source":{"id":"1112.5856","kind":"arxiv","version":1}},"canonical_sha256":"58221fd3dc8e7483dfca18591089b33c77ba74820530258d7d7e3a73352e4502","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"58221fd3dc8e7483dfca18591089b33c77ba74820530258d7d7e3a73352e4502","first_computed_at":"2026-05-18T04:05:37.417801Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:05:37.417801Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"h6JuyTKQ9uBpvyM9Ii8MDRFaIID2W5YrBWy1BOpaVZXLYLtts2hpCxCEJgPxQm+cS7jEonF+zKSHe6db38U8DQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:05:37.419309Z","signed_message":"canonical_sha256_bytes"},"source_id":"1112.5856","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:24be97019579d530d8df48b68a4f2573373f8b36e3616d1a1e644558271fba77","sha256:740af69afa4f01301767f447353010d6fcaa093b84143b146b14f64a496de59c"],"state_sha256":"afaef59d278cb8b62da648b90732896fbf93d3eb6d1f020b9a31571272ed467b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"aDxZ2lKSWhnX3GUnimipRsTwI7e9H2hqch9aaesHpeXytrCInh66zQ3GMkQjdCLLhnjbh/NYZBMfcgOoYudJCw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-24T04:33:31.282718Z","bundle_sha256":"9f1d193b463fa85f22f1dd9607700da5663d2f9245705038befa4182fa0f985c"}}