{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:UOITJGMISQITFITLFV6UZY4PHV","short_pith_number":"pith:UOITJGMI","canonical_record":{"source":{"id":"1111.2956","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-11-12T19:06:34Z","cross_cats_sorted":["hep-ph","math.PR"],"title_canon_sha256":"9d8351105aef030114c0ec12078e08fbb4df82bbc544a656c03bbbc929fa2860","abstract_canon_sha256":"e9e69fce890906a04f85a45d0d5fb99fbf99e33de7968caee85245bd95fd2cfc"},"schema_version":"1.0"},"canonical_sha256":"a391349988941132a26b2d7d4ce38f3d677234fcdd80e4043f82b8364e26fe85","source":{"kind":"arxiv","id":"1111.2956","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.2956","created_at":"2026-05-18T02:44:00Z"},{"alias_kind":"arxiv_version","alias_value":"1111.2956v1","created_at":"2026-05-18T02:44:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.2956","created_at":"2026-05-18T02:44:00Z"},{"alias_kind":"pith_short_12","alias_value":"UOITJGMISQIT","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"UOITJGMISQITFITL","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"UOITJGMI","created_at":"2026-05-18T12:26:42Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:UOITJGMISQITFITLFV6UZY4PHV","target":"record","payload":{"canonical_record":{"source":{"id":"1111.2956","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-11-12T19:06:34Z","cross_cats_sorted":["hep-ph","math.PR"],"title_canon_sha256":"9d8351105aef030114c0ec12078e08fbb4df82bbc544a656c03bbbc929fa2860","abstract_canon_sha256":"e9e69fce890906a04f85a45d0d5fb99fbf99e33de7968caee85245bd95fd2cfc"},"schema_version":"1.0"},"canonical_sha256":"a391349988941132a26b2d7d4ce38f3d677234fcdd80e4043f82b8364e26fe85","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:44:00.738698Z","signature_b64":"9/39H4NAWUgaxuEDiYcr7VxtEVI/64yspZZNzvQ6qQVyiy4fizwmR/0hDFIfhfoRcDQgG1jPxsEYnU/O3kbRDA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a391349988941132a26b2d7d4ce38f3d677234fcdd80e4043f82b8364e26fe85","last_reissued_at":"2026-05-18T02:44:00.738205Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:44:00.738205Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1111.2956","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":"2026-05-18T02:44:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ay1AsuG+lPqwNcwI36rupNI1x8b4sjjXf8XQqUyjuboXKf/XppUXV6tRc9jKLSI2gADPm3gbiY5LkuGGrKmcAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T17:14:17.809113Z"},"content_sha256":"e7f75da0be87dff58b377dd4aca6210179ba75b2a3507273b7106c66ad68357f","schema_version":"1.0","event_id":"sha256:e7f75da0be87dff58b377dd4aca6210179ba75b2a3507273b7106c66ad68357f"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:UOITJGMISQITFITLFV6UZY4PHV","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Mass spectrum from stochastic Levy-Schroedinger relativistic equations: possible qualitative predictions in QCD","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph","math.PR"],"primary_cat":"quant-ph","authors_text":"Modesto Pusterla, Nicola Cufaro Petroni","submitted_at":"2011-11-12T19:06:34Z","abstract_excerpt":"Starting from the relation between the kinetic energy of a free Levy-Schroedinger particle and the logarithmic characteristic of the underlying stochastic process, we show that it is possible to get a precise relation between renormalizable field theories and a specific Levy process. This subsequently leads to a particular cut-off in the perturbative diagrams and can produce a phenomenological mass spectrum that allows an interpretation of quarks and leptons distributed in the three families of the standard model."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.2956","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":"2026-05-18T02:44:00Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Xd2MR0B0Ozr1OmMZJEAlv9UtWzGIVaDl52LTrnpZpMTrLzr2pG8xzjh8oPtvrljFdjsUqs2YTDAbbJdjKaIwCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T17:14:17.809576Z"},"content_sha256":"494c51d2bb176deb62ec3e053036ce1270c6379b3cb3dee2b64ff970787e2f20","schema_version":"1.0","event_id":"sha256:494c51d2bb176deb62ec3e053036ce1270c6379b3cb3dee2b64ff970787e2f20"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/UOITJGMISQITFITLFV6UZY4PHV/bundle.json","state_url":"https://pith.science/pith/UOITJGMISQITFITLFV6UZY4PHV/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/UOITJGMISQITFITLFV6UZY4PHV/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":"2026-06-23T17:14:17Z","links":{"resolver":"https://pith.science/pith/UOITJGMISQITFITLFV6UZY4PHV","bundle":"https://pith.science/pith/UOITJGMISQITFITLFV6UZY4PHV/bundle.json","state":"https://pith.science/pith/UOITJGMISQITFITLFV6UZY4PHV/state.json","well_known_bundle":"https://pith.science/.well-known/pith/UOITJGMISQITFITLFV6UZY4PHV/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:UOITJGMISQITFITLFV6UZY4PHV","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":"e9e69fce890906a04f85a45d0d5fb99fbf99e33de7968caee85245bd95fd2cfc","cross_cats_sorted":["hep-ph","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-11-12T19:06:34Z","title_canon_sha256":"9d8351105aef030114c0ec12078e08fbb4df82bbc544a656c03bbbc929fa2860"},"schema_version":"1.0","source":{"id":"1111.2956","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1111.2956","created_at":"2026-05-18T02:44:00Z"},{"alias_kind":"arxiv_version","alias_value":"1111.2956v1","created_at":"2026-05-18T02:44:00Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1111.2956","created_at":"2026-05-18T02:44:00Z"},{"alias_kind":"pith_short_12","alias_value":"UOITJGMISQIT","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_16","alias_value":"UOITJGMISQITFITL","created_at":"2026-05-18T12:26:42Z"},{"alias_kind":"pith_short_8","alias_value":"UOITJGMI","created_at":"2026-05-18T12:26:42Z"}],"graph_snapshots":[{"event_id":"sha256:494c51d2bb176deb62ec3e053036ce1270c6379b3cb3dee2b64ff970787e2f20","target":"graph","created_at":"2026-05-18T02:44:00Z","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":"Starting from the relation between the kinetic energy of a free Levy-Schroedinger particle and the logarithmic characteristic of the underlying stochastic process, we show that it is possible to get a precise relation between renormalizable field theories and a specific Levy process. This subsequently leads to a particular cut-off in the perturbative diagrams and can produce a phenomenological mass spectrum that allows an interpretation of quarks and leptons distributed in the three families of the standard model.","authors_text":"Modesto Pusterla, Nicola Cufaro Petroni","cross_cats":["hep-ph","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-11-12T19:06:34Z","title":"Mass spectrum from stochastic Levy-Schroedinger relativistic equations: possible qualitative predictions in QCD"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1111.2956","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:e7f75da0be87dff58b377dd4aca6210179ba75b2a3507273b7106c66ad68357f","target":"record","created_at":"2026-05-18T02:44:00Z","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":"e9e69fce890906a04f85a45d0d5fb99fbf99e33de7968caee85245bd95fd2cfc","cross_cats_sorted":["hep-ph","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"quant-ph","submitted_at":"2011-11-12T19:06:34Z","title_canon_sha256":"9d8351105aef030114c0ec12078e08fbb4df82bbc544a656c03bbbc929fa2860"},"schema_version":"1.0","source":{"id":"1111.2956","kind":"arxiv","version":1}},"canonical_sha256":"a391349988941132a26b2d7d4ce38f3d677234fcdd80e4043f82b8364e26fe85","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"a391349988941132a26b2d7d4ce38f3d677234fcdd80e4043f82b8364e26fe85","first_computed_at":"2026-05-18T02:44:00.738205Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:44:00.738205Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9/39H4NAWUgaxuEDiYcr7VxtEVI/64yspZZNzvQ6qQVyiy4fizwmR/0hDFIfhfoRcDQgG1jPxsEYnU/O3kbRDA==","signature_status":"signed_v1","signed_at":"2026-05-18T02:44:00.738698Z","signed_message":"canonical_sha256_bytes"},"source_id":"1111.2956","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e7f75da0be87dff58b377dd4aca6210179ba75b2a3507273b7106c66ad68357f","sha256:494c51d2bb176deb62ec3e053036ce1270c6379b3cb3dee2b64ff970787e2f20"],"state_sha256":"7acdad36c4291f143bd047ed7cff062108fd425787694a7c020f57db8143d64d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"V/X/ufKwrmHjJ9b/GjI/ACI1dry/hLfmFlOR+lTHC92MgVfeNkZPl+5EFXBM5eCRbBOwWPhOLfQi3CD+eEkUAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T17:14:17.812029Z","bundle_sha256":"9731cc9bc128232c9f376afe50ec11143b1dfcf91881c71eff403be54d39baa8"}}