{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:AF4R7T3WV2E4DU6LIWNANRLN7X","short_pith_number":"pith:AF4R7T3W","canonical_record":{"source":{"id":"1406.0127","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-01T02:59:04Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"19de72afc3e4ec70d651936cdedc3eabb187bee7e4ece212446d75d4ac29f7c0","abstract_canon_sha256":"2c330b7f751bbf937a9f3d2013b01cf8a5bd57343791fcc719b3b137c1945405"},"schema_version":"1.0"},"canonical_sha256":"01791fcf76ae89c1d3cb459a06c56dfde13a32bea873eb8548490e96b453350b","source":{"kind":"arxiv","id":"1406.0127","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.0127","created_at":"2026-05-18T02:39:40Z"},{"alias_kind":"arxiv_version","alias_value":"1406.0127v1","created_at":"2026-05-18T02:39:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.0127","created_at":"2026-05-18T02:39:40Z"},{"alias_kind":"pith_short_12","alias_value":"AF4R7T3WV2E4","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"AF4R7T3WV2E4DU6L","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"AF4R7T3W","created_at":"2026-05-18T12:28:19Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:AF4R7T3WV2E4DU6LIWNANRLN7X","target":"record","payload":{"canonical_record":{"source":{"id":"1406.0127","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-01T02:59:04Z","cross_cats_sorted":["hep-ph"],"title_canon_sha256":"19de72afc3e4ec70d651936cdedc3eabb187bee7e4ece212446d75d4ac29f7c0","abstract_canon_sha256":"2c330b7f751bbf937a9f3d2013b01cf8a5bd57343791fcc719b3b137c1945405"},"schema_version":"1.0"},"canonical_sha256":"01791fcf76ae89c1d3cb459a06c56dfde13a32bea873eb8548490e96b453350b","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:39:40.396779Z","signature_b64":"bUhCMF1RUD2GK51rXokTQsgkf0Jzyx2Eu78Z/uMXvwK6ugLLVJTaFXfl3cupjZlmv4i1lZrDx3KYkP8jfbAxBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"01791fcf76ae89c1d3cb459a06c56dfde13a32bea873eb8548490e96b453350b","last_reissued_at":"2026-05-18T02:39:40.396112Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:39:40.396112Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.0127","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":"2026-05-18T02:39:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"b14eooVoTpPxYj4i6m2qUWnVZYc0IbUKI9uFNbeqa456asbGLa6rc7arZ10Q3TxHzXraE7+1HP5Ix6LWo7KQDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T16:58:41.244399Z"},"content_sha256":"8f9e9d31f6b3b3b68addf588fe91a702a0c4f22093dfa9024a98eac29ef15349","schema_version":"1.0","event_id":"sha256:8f9e9d31f6b3b3b68addf588fe91a702a0c4f22093dfa9024a98eac29ef15349"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:AF4R7T3WV2E4DU6LIWNANRLN7X","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Calculation of size for bound-state constituents","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-ph"],"primary_cat":"hep-th","authors_text":"Stanislaw D. Glazek","submitted_at":"2014-06-01T02:59:04Z","abstract_excerpt":"Elements are given of a calculation that identifies the size of a proton in the Schroedinger equation for lepton-proton bound states, using the renormalization group procedure for effective particles (RGPEP) in quantum field theory, executed only up to the second order of expansion in powers of the coupling constant. Already in this crude approximation, the extraction of size of a proton from bound-state observables is found to depend on the lepton mass, so that the smaller the lepton mass the larger the proton size extracted from the same observable bound-state energy splitting. In comparison"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.0127","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":"2026-05-18T02:39:40Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NMe+sbzzbY7DafaNff+qZQYxEw6YBZfYrwfLpkroOJXf66dInwIxWw2k79CMxulgf5YVwZtw4nzhRNC+znLcAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-30T16:58:41.244739Z"},"content_sha256":"1c46f6b674e6006f87b78d5eac72ecdeec1c59aaebb845042dfba26ee8fc0162","schema_version":"1.0","event_id":"sha256:1c46f6b674e6006f87b78d5eac72ecdeec1c59aaebb845042dfba26ee8fc0162"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/AF4R7T3WV2E4DU6LIWNANRLN7X/bundle.json","state_url":"https://pith.science/pith/AF4R7T3WV2E4DU6LIWNANRLN7X/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/AF4R7T3WV2E4DU6LIWNANRLN7X/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":"2026-06-30T16:58:41Z","links":{"resolver":"https://pith.science/pith/AF4R7T3WV2E4DU6LIWNANRLN7X","bundle":"https://pith.science/pith/AF4R7T3WV2E4DU6LIWNANRLN7X/bundle.json","state":"https://pith.science/pith/AF4R7T3WV2E4DU6LIWNANRLN7X/state.json","well_known_bundle":"https://pith.science/.well-known/pith/AF4R7T3WV2E4DU6LIWNANRLN7X/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:AF4R7T3WV2E4DU6LIWNANRLN7X","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":"2c330b7f751bbf937a9f3d2013b01cf8a5bd57343791fcc719b3b137c1945405","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-01T02:59:04Z","title_canon_sha256":"19de72afc3e4ec70d651936cdedc3eabb187bee7e4ece212446d75d4ac29f7c0"},"schema_version":"1.0","source":{"id":"1406.0127","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.0127","created_at":"2026-05-18T02:39:40Z"},{"alias_kind":"arxiv_version","alias_value":"1406.0127v1","created_at":"2026-05-18T02:39:40Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.0127","created_at":"2026-05-18T02:39:40Z"},{"alias_kind":"pith_short_12","alias_value":"AF4R7T3WV2E4","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_16","alias_value":"AF4R7T3WV2E4DU6L","created_at":"2026-05-18T12:28:19Z"},{"alias_kind":"pith_short_8","alias_value":"AF4R7T3W","created_at":"2026-05-18T12:28:19Z"}],"graph_snapshots":[{"event_id":"sha256:1c46f6b674e6006f87b78d5eac72ecdeec1c59aaebb845042dfba26ee8fc0162","target":"graph","created_at":"2026-05-18T02:39:40Z","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":"Elements are given of a calculation that identifies the size of a proton in the Schroedinger equation for lepton-proton bound states, using the renormalization group procedure for effective particles (RGPEP) in quantum field theory, executed only up to the second order of expansion in powers of the coupling constant. Already in this crude approximation, the extraction of size of a proton from bound-state observables is found to depend on the lepton mass, so that the smaller the lepton mass the larger the proton size extracted from the same observable bound-state energy splitting. In comparison","authors_text":"Stanislaw D. Glazek","cross_cats":["hep-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-01T02:59:04Z","title":"Calculation of size for bound-state constituents"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.0127","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":"sha256:8f9e9d31f6b3b3b68addf588fe91a702a0c4f22093dfa9024a98eac29ef15349","target":"record","created_at":"2026-05-18T02:39:40Z","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":"2c330b7f751bbf937a9f3d2013b01cf8a5bd57343791fcc719b3b137c1945405","cross_cats_sorted":["hep-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2014-06-01T02:59:04Z","title_canon_sha256":"19de72afc3e4ec70d651936cdedc3eabb187bee7e4ece212446d75d4ac29f7c0"},"schema_version":"1.0","source":{"id":"1406.0127","kind":"arxiv","version":1}},"canonical_sha256":"01791fcf76ae89c1d3cb459a06c56dfde13a32bea873eb8548490e96b453350b","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"01791fcf76ae89c1d3cb459a06c56dfde13a32bea873eb8548490e96b453350b","first_computed_at":"2026-05-18T02:39:40.396112Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:39:40.396112Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"bUhCMF1RUD2GK51rXokTQsgkf0Jzyx2Eu78Z/uMXvwK6ugLLVJTaFXfl3cupjZlmv4i1lZrDx3KYkP8jfbAxBg==","signature_status":"signed_v1","signed_at":"2026-05-18T02:39:40.396779Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.0127","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8f9e9d31f6b3b3b68addf588fe91a702a0c4f22093dfa9024a98eac29ef15349","sha256:1c46f6b674e6006f87b78d5eac72ecdeec1c59aaebb845042dfba26ee8fc0162"],"state_sha256":"20f1ec88c0a0797280c4776315bb43825305cf43f593296bdf5b6650dd5eadc3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"uPvZUZTAjK1KJ3RJnjKNQivr+8KMDdCrSsBeEkXVhEb/ZywPuNG9xX9RwfeLVL7wqdSZdZFJlVVmTe8VrAS8Cw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-30T16:58:41.246694Z","bundle_sha256":"fa36e5ebd9076e7d5506e9b83ca98d00a0ace4fb76a389a9d6f515975d920936"}}