{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:YTMHLLNTFO6RWG5VYHUTCCT7BL","short_pith_number":"pith:YTMHLLNT","canonical_record":{"source":{"id":"1611.08787","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-11-27T04:56:35Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"046dbe220ff4c62519fcb10e216c7360a0d169746a7f2ec96835e6520c0f92ba","abstract_canon_sha256":"2dcb0b944a65a9efa021933d1a330b4304046fdbecee0066afd5a77796c96257"},"schema_version":"1.0"},"canonical_sha256":"c4d875adb32bbd1b1bb5c1e9310a7f0ae223478a09964e4c1227e59b2c136d24","source":{"kind":"arxiv","id":"1611.08787","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.08787","created_at":"2026-07-05T06:03:20Z"},{"alias_kind":"arxiv_version","alias_value":"1611.08787v2","created_at":"2026-07-05T06:03:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.08787","created_at":"2026-07-05T06:03:20Z"},{"alias_kind":"pith_short_12","alias_value":"YTMHLLNTFO6R","created_at":"2026-07-05T06:03:20Z"},{"alias_kind":"pith_short_16","alias_value":"YTMHLLNTFO6RWG5V","created_at":"2026-07-05T06:03:20Z"},{"alias_kind":"pith_short_8","alias_value":"YTMHLLNT","created_at":"2026-07-05T06:03:20Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:YTMHLLNTFO6RWG5VYHUTCCT7BL","target":"record","payload":{"canonical_record":{"source":{"id":"1611.08787","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-11-27T04:56:35Z","cross_cats_sorted":["math-ph","math.MP"],"title_canon_sha256":"046dbe220ff4c62519fcb10e216c7360a0d169746a7f2ec96835e6520c0f92ba","abstract_canon_sha256":"2dcb0b944a65a9efa021933d1a330b4304046fdbecee0066afd5a77796c96257"},"schema_version":"1.0"},"canonical_sha256":"c4d875adb32bbd1b1bb5c1e9310a7f0ae223478a09964e4c1227e59b2c136d24","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T06:03:20.037020Z","signature_b64":"jec/PtzGfuA+QjWSJWuMCpnitrUIszrxHarYOrhy5K6knGmbgqD9w1wcdAXt1OfjvZR1S5liZBTemFBFXhoxDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"c4d875adb32bbd1b1bb5c1e9310a7f0ae223478a09964e4c1227e59b2c136d24","last_reissued_at":"2026-07-05T06:03:20.036681Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T06:03:20.036681Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.08787","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-05T06:03:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0HA3mfN0YrxwQ3a0VezXlkE/tDR7dk1yIAQm74AXpMduGysFeWXWENkW3J4Zct3ISmHk6iJOlep7zk061pgEDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T03:16:03.661008Z"},"content_sha256":"f24666325e6ec14749d9d74d07e883f43837a857c6eb7978747e84bb5e0a5180","schema_version":"1.0","event_id":"sha256:f24666325e6ec14749d9d74d07e883f43837a857c6eb7978747e84bb5e0a5180"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:YTMHLLNTFO6RWG5VYHUTCCT7BL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analytical solution to DGLAP integro-differential equation in a simple toy-model with a fixed gauge coupling","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math-ph","math.MP"],"primary_cat":"hep-ph","authors_text":"Bernd A. Kniehl, Gorazd Cvetic, Gustavo Alvarez, Igor Kondrashuk, Ivan Parra-Ferrada","submitted_at":"2016-11-27T04:56:35Z","abstract_excerpt":"We consider a simple model for QCD dynamics in which DGLAP integro-differential equation may be solved analytically. This is a gauge model which possesses dominant evolution of gauge boson (gluon) distribution and in which the gauge coupling does not run. This may be ${\\cal N} =4$ supersymmetric gauge theory with softly broken supersymmetry, other finite supersymmetric gauge theory with lower level of supersymmetry, or topological Chern-Simons field theories. We maintain only one term in the splitting function of unintegrated gluon distribution and solve DGLAP analytically for this simplified "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.08787","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/1611.08787/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T06:03:20Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"R97SZBXGJskqU6jwbAkyfrMJXYogT5z015+FyX5j/ytqkpzJR7KFNaEJnjflEf2sY6WK2Ccsu6IabQJxp93ZBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-13T03:16:03.661879Z"},"content_sha256":"817e9ea504cc848dc1f1c97b85f8246b00abf4d59ff60b14889721146928c18e","schema_version":"1.0","event_id":"sha256:817e9ea504cc848dc1f1c97b85f8246b00abf4d59ff60b14889721146928c18e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/YTMHLLNTFO6RWG5VYHUTCCT7BL/bundle.json","state_url":"https://pith.science/pith/YTMHLLNTFO6RWG5VYHUTCCT7BL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/YTMHLLNTFO6RWG5VYHUTCCT7BL/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":"2026-08-13T03:16:03Z","links":{"resolver":"https://pith.science/pith/YTMHLLNTFO6RWG5VYHUTCCT7BL","bundle":"https://pith.science/pith/YTMHLLNTFO6RWG5VYHUTCCT7BL/bundle.json","state":"https://pith.science/pith/YTMHLLNTFO6RWG5VYHUTCCT7BL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/YTMHLLNTFO6RWG5VYHUTCCT7BL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:YTMHLLNTFO6RWG5VYHUTCCT7BL","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":"2dcb0b944a65a9efa021933d1a330b4304046fdbecee0066afd5a77796c96257","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-11-27T04:56:35Z","title_canon_sha256":"046dbe220ff4c62519fcb10e216c7360a0d169746a7f2ec96835e6520c0f92ba"},"schema_version":"1.0","source":{"id":"1611.08787","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.08787","created_at":"2026-07-05T06:03:20Z"},{"alias_kind":"arxiv_version","alias_value":"1611.08787v2","created_at":"2026-07-05T06:03:20Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.08787","created_at":"2026-07-05T06:03:20Z"},{"alias_kind":"pith_short_12","alias_value":"YTMHLLNTFO6R","created_at":"2026-07-05T06:03:20Z"},{"alias_kind":"pith_short_16","alias_value":"YTMHLLNTFO6RWG5V","created_at":"2026-07-05T06:03:20Z"},{"alias_kind":"pith_short_8","alias_value":"YTMHLLNT","created_at":"2026-07-05T06:03:20Z"}],"graph_snapshots":[{"event_id":"sha256:817e9ea504cc848dc1f1c97b85f8246b00abf4d59ff60b14889721146928c18e","target":"graph","created_at":"2026-07-05T06:03:20Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/1611.08787/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We consider a simple model for QCD dynamics in which DGLAP integro-differential equation may be solved analytically. This is a gauge model which possesses dominant evolution of gauge boson (gluon) distribution and in which the gauge coupling does not run. This may be ${\\cal N} =4$ supersymmetric gauge theory with softly broken supersymmetry, other finite supersymmetric gauge theory with lower level of supersymmetry, or topological Chern-Simons field theories. We maintain only one term in the splitting function of unintegrated gluon distribution and solve DGLAP analytically for this simplified ","authors_text":"Bernd A. Kniehl, Gorazd Cvetic, Gustavo Alvarez, Igor Kondrashuk, Ivan Parra-Ferrada","cross_cats":["math-ph","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-11-27T04:56:35Z","title":"Analytical solution to DGLAP integro-differential equation in a simple toy-model with a fixed gauge coupling"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.08787","kind":"arxiv","version":2},"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:f24666325e6ec14749d9d74d07e883f43837a857c6eb7978747e84bb5e0a5180","target":"record","created_at":"2026-07-05T06:03:20Z","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":"2dcb0b944a65a9efa021933d1a330b4304046fdbecee0066afd5a77796c96257","cross_cats_sorted":["math-ph","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-ph","submitted_at":"2016-11-27T04:56:35Z","title_canon_sha256":"046dbe220ff4c62519fcb10e216c7360a0d169746a7f2ec96835e6520c0f92ba"},"schema_version":"1.0","source":{"id":"1611.08787","kind":"arxiv","version":2}},"canonical_sha256":"c4d875adb32bbd1b1bb5c1e9310a7f0ae223478a09964e4c1227e59b2c136d24","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"c4d875adb32bbd1b1bb5c1e9310a7f0ae223478a09964e4c1227e59b2c136d24","first_computed_at":"2026-07-05T06:03:20.036681Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T06:03:20.036681Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"jec/PtzGfuA+QjWSJWuMCpnitrUIszrxHarYOrhy5K6knGmbgqD9w1wcdAXt1OfjvZR1S5liZBTemFBFXhoxDQ==","signature_status":"signed_v1","signed_at":"2026-07-05T06:03:20.037020Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.08787","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f24666325e6ec14749d9d74d07e883f43837a857c6eb7978747e84bb5e0a5180","sha256:817e9ea504cc848dc1f1c97b85f8246b00abf4d59ff60b14889721146928c18e"],"state_sha256":"6119da3456822269f32732ab784336030fad8b779b92c5694467a63916ea0bb6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"LrFeoEzm9qSO/KdLxikTH8pJ5NGqN/V+1BzLJBqkE3/5J6d1O0QTEMyJ6ocSx4mHUhcat/wyt97dBX8VrCgSDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-13T03:16:03.676813Z","bundle_sha256":"88c8749d5384ac96ac71f3255d8cbde0eaf73b197d1a6938137bc0a4e00fe506"}}