{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2011:DA6HA4B4355NSXKYI2BTCUUKBB","short_pith_number":"pith:DA6HA4B4","canonical_record":{"source":{"id":"1104.4446","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-04-22T14:20:53Z","cross_cats_sorted":[],"title_canon_sha256":"685df0289df91e50f06ba0525eb96299e62037d7a59999f017d7245040ef0c32","abstract_canon_sha256":"e67310948cc1121bcade03fbe2f787279d3140d70d2b4feb0ae746d894b5ac39"},"schema_version":"1.0"},"canonical_sha256":"183c70703cdf7ad95d58468331528a08702fc21c9ca11079c0e92d30840720cd","source":{"kind":"arxiv","id":"1104.4446","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.4446","created_at":"2026-05-18T04:01:23Z"},{"alias_kind":"arxiv_version","alias_value":"1104.4446v2","created_at":"2026-05-18T04:01:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.4446","created_at":"2026-05-18T04:01:23Z"},{"alias_kind":"pith_short_12","alias_value":"DA6HA4B4355N","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"DA6HA4B4355NSXKY","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"DA6HA4B4","created_at":"2026-05-18T12:26:26Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2011:DA6HA4B4355NSXKYI2BTCUUKBB","target":"record","payload":{"canonical_record":{"source":{"id":"1104.4446","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-04-22T14:20:53Z","cross_cats_sorted":[],"title_canon_sha256":"685df0289df91e50f06ba0525eb96299e62037d7a59999f017d7245040ef0c32","abstract_canon_sha256":"e67310948cc1121bcade03fbe2f787279d3140d70d2b4feb0ae746d894b5ac39"},"schema_version":"1.0"},"canonical_sha256":"183c70703cdf7ad95d58468331528a08702fc21c9ca11079c0e92d30840720cd","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T04:01:23.279147Z","signature_b64":"36B5nNqNSEownRzJUhKbP3XnXoIklX5knvO6t/E19WZjvFeDqRvfrTmFVl5ZGFUAjsXAImsU50mLtU60wtbSAQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"183c70703cdf7ad95d58468331528a08702fc21c9ca11079c0e92d30840720cd","last_reissued_at":"2026-05-18T04:01:23.278690Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T04:01:23.278690Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1104.4446","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":"2026-05-18T04:01:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ErkUl4MFSnZZ7cUHWeO0Z0x/94uJWN6zlrqT/6k59foRusp6fsiBZ+utaMgtHsDpGBoi2lJdvCPXzyAwmHnYDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T15:14:04.562914Z"},"content_sha256":"c01956b15e21cc8d35a269124735ecd65729e643300ea84e29be03d1797600bd","schema_version":"1.0","event_id":"sha256:c01956b15e21cc8d35a269124735ecd65729e643300ea84e29be03d1797600bd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2011:DA6HA4B4355NSXKYI2BTCUUKBB","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"A Note on Angular Momentum Commutators in Light-Cone Formulation of Open Bosonic String Theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Klaus Bering","submitted_at":"2011-04-22T14:20:53Z","abstract_excerpt":"We recalculate in a systematic and pedagogical way one of the most important results of Bosonic open string theory in the light-cone formulation, namely the [J^{-i},J^{-j}] commutators, which together with Lorentz covariance, famously yield the critical dimension D=26 and the normal order constant a=1. We use traditional transverse oscillator mode expansions (avoiding the elegant but more advanced language of operator product expansions). We streamline the proof by introducing a novel bookkeeping/regularization parameter \\kappa to avoid splitting into creation and annihilation parts, and to av"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.4446","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":""},"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":"2026-05-18T04:01:23Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"z3tKdXBaP5KBOT9cuYdbKND+a3t7+fhhtdDGyo4CgMKAuVZMcMqB/ZIJfzQqagQMJf1lZ/owl9uhTwhxTHLrAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T15:14:04.563255Z"},"content_sha256":"9176aa3efece917acd7aa3e5d687406e33affd77337528b948c3890cd088e2b0","schema_version":"1.0","event_id":"sha256:9176aa3efece917acd7aa3e5d687406e33affd77337528b948c3890cd088e2b0"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DA6HA4B4355NSXKYI2BTCUUKBB/bundle.json","state_url":"https://pith.science/pith/DA6HA4B4355NSXKYI2BTCUUKBB/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DA6HA4B4355NSXKYI2BTCUUKBB/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":"2026-06-09T15:14:04Z","links":{"resolver":"https://pith.science/pith/DA6HA4B4355NSXKYI2BTCUUKBB","bundle":"https://pith.science/pith/DA6HA4B4355NSXKYI2BTCUUKBB/bundle.json","state":"https://pith.science/pith/DA6HA4B4355NSXKYI2BTCUUKBB/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DA6HA4B4355NSXKYI2BTCUUKBB/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2011:DA6HA4B4355NSXKYI2BTCUUKBB","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":"e67310948cc1121bcade03fbe2f787279d3140d70d2b4feb0ae746d894b5ac39","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-04-22T14:20:53Z","title_canon_sha256":"685df0289df91e50f06ba0525eb96299e62037d7a59999f017d7245040ef0c32"},"schema_version":"1.0","source":{"id":"1104.4446","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1104.4446","created_at":"2026-05-18T04:01:23Z"},{"alias_kind":"arxiv_version","alias_value":"1104.4446v2","created_at":"2026-05-18T04:01:23Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1104.4446","created_at":"2026-05-18T04:01:23Z"},{"alias_kind":"pith_short_12","alias_value":"DA6HA4B4355N","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_16","alias_value":"DA6HA4B4355NSXKY","created_at":"2026-05-18T12:26:26Z"},{"alias_kind":"pith_short_8","alias_value":"DA6HA4B4","created_at":"2026-05-18T12:26:26Z"}],"graph_snapshots":[{"event_id":"sha256:9176aa3efece917acd7aa3e5d687406e33affd77337528b948c3890cd088e2b0","target":"graph","created_at":"2026-05-18T04:01:23Z","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":"We recalculate in a systematic and pedagogical way one of the most important results of Bosonic open string theory in the light-cone formulation, namely the [J^{-i},J^{-j}] commutators, which together with Lorentz covariance, famously yield the critical dimension D=26 and the normal order constant a=1. We use traditional transverse oscillator mode expansions (avoiding the elegant but more advanced language of operator product expansions). We streamline the proof by introducing a novel bookkeeping/regularization parameter \\kappa to avoid splitting into creation and annihilation parts, and to av","authors_text":"Klaus Bering","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-04-22T14:20:53Z","title":"A Note on Angular Momentum Commutators in Light-Cone Formulation of Open Bosonic String Theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1104.4446","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:c01956b15e21cc8d35a269124735ecd65729e643300ea84e29be03d1797600bd","target":"record","created_at":"2026-05-18T04:01:23Z","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":"e67310948cc1121bcade03fbe2f787279d3140d70d2b4feb0ae746d894b5ac39","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2011-04-22T14:20:53Z","title_canon_sha256":"685df0289df91e50f06ba0525eb96299e62037d7a59999f017d7245040ef0c32"},"schema_version":"1.0","source":{"id":"1104.4446","kind":"arxiv","version":2}},"canonical_sha256":"183c70703cdf7ad95d58468331528a08702fc21c9ca11079c0e92d30840720cd","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"183c70703cdf7ad95d58468331528a08702fc21c9ca11079c0e92d30840720cd","first_computed_at":"2026-05-18T04:01:23.278690Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T04:01:23.278690Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"36B5nNqNSEownRzJUhKbP3XnXoIklX5knvO6t/E19WZjvFeDqRvfrTmFVl5ZGFUAjsXAImsU50mLtU60wtbSAQ==","signature_status":"signed_v1","signed_at":"2026-05-18T04:01:23.279147Z","signed_message":"canonical_sha256_bytes"},"source_id":"1104.4446","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c01956b15e21cc8d35a269124735ecd65729e643300ea84e29be03d1797600bd","sha256:9176aa3efece917acd7aa3e5d687406e33affd77337528b948c3890cd088e2b0"],"state_sha256":"8bf0005bf5b357c7a03cdef9739cb0f92ffd1640efe333982a702e2124630baa"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y3OtOSfsflMg3fORVMF+0VGCaVQvVgOuoY1NKqdx2bCKpoMM6RL4A6KGh2xRSGndOgPHQkyxsevFaT0kMcTKDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T15:14:04.565255Z","bundle_sha256":"e4c6ed229f027479e9980b9119e1337d726b5d53afdf9f0298bce1f13c1639be"}}