{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2000:D24X3BSPUT36I2EW3Q3Y34VEFO","short_pith_number":"pith:D24X3BSP","canonical_record":{"source":{"id":"hep-th/0007175","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2000-07-21T13:52:47Z","cross_cats_sorted":[],"title_canon_sha256":"22b689275a1b46a3f9adeeb93f14085364982d9ea0ffcb557b0a9951e627c3fb","abstract_canon_sha256":"98aa73c198274c609882e4e6518ddefc4437fc8afecea2e09b8d7ad8ce1346af"},"schema_version":"1.0"},"canonical_sha256":"1eb97d864fa4f7e46896dc378df2a42b888f0c71f30ee644717d248743e9681e","source":{"kind":"arxiv","id":"hep-th/0007175","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0007175","created_at":"2026-07-04T17:25:45Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0007175v1","created_at":"2026-07-04T17:25:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0007175","created_at":"2026-07-04T17:25:45Z"},{"alias_kind":"pith_short_12","alias_value":"D24X3BSPUT36","created_at":"2026-07-04T17:25:45Z"},{"alias_kind":"pith_short_16","alias_value":"D24X3BSPUT36I2EW","created_at":"2026-07-04T17:25:45Z"},{"alias_kind":"pith_short_8","alias_value":"D24X3BSP","created_at":"2026-07-04T17:25:45Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2000:D24X3BSPUT36I2EW3Q3Y34VEFO","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0007175","kind":"arxiv","version":1},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2000-07-21T13:52:47Z","cross_cats_sorted":[],"title_canon_sha256":"22b689275a1b46a3f9adeeb93f14085364982d9ea0ffcb557b0a9951e627c3fb","abstract_canon_sha256":"98aa73c198274c609882e4e6518ddefc4437fc8afecea2e09b8d7ad8ce1346af"},"schema_version":"1.0"},"canonical_sha256":"1eb97d864fa4f7e46896dc378df2a42b888f0c71f30ee644717d248743e9681e","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T17:25:45.932802Z","signature_b64":"1fiPGQZHRprPQqMs8vEaPIbF8mVvRmC1NBl8tKVTaovAirfpyQ1+oTfASn57cG7uynhgrJc9q+WnbwPOHg70CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1eb97d864fa4f7e46896dc378df2a42b888f0c71f30ee644717d248743e9681e","last_reissued_at":"2026-07-04T17:25:45.932438Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T17:25:45.932438Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0007175","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":"2026-07-04T17:25:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"mDojF8zVqVj0+oenlzVrr4yWYf/PofJ31M+7FYkb+k2CVU7V3CryeJU1veP+Uz3vGMGYhEad/cJWVrczhrf2CQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T21:04:04.122073Z"},"content_sha256":"c035f4613c05fb2b9eec5eaff2cdfd18387a824afede91cbe049c562af2c0375","schema_version":"1.0","event_id":"sha256:c035f4613c05fb2b9eec5eaff2cdfd18387a824afede91cbe049c562af2c0375"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2000:D24X3BSPUT36I2EW3Q3Y34VEFO","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Overview Of K-Theory Applied To Strings","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Edward Witten","submitted_at":"2000-07-21T13:52:47Z","abstract_excerpt":"K-theory provides a framework for classifying Ramond-Ramond (RR) charges and fields. K-theory of manifolds has a natural extension to K-theory of noncommutative algebras, such as the algebra considered in noncommutative Yang-Mills theory or in open string field theory. In a number of concrete problems, the K-theory analysis proceeds most naturally if one starts out with an infinite set of D-branes, reduced by tachyon condensation to a finite set. This suggests that string field theory should be reconsidered for N=infinity."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0007175","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0007175/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":"2026-07-04T17:25:45Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"2e+6DC1RgoD8qT+UK23BHx89tn9GuhVRPNMOxjXrr5SLBxKFdJ8uNH+FK+6izoHjX9qx8j2xLNIL6kNHYzp4Dw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T21:04:04.123008Z"},"content_sha256":"e07f69ec2835efa88d8f376162c1733b14a4c1896bfb3fff6e43fd79c5bfc277","schema_version":"1.0","event_id":"sha256:e07f69ec2835efa88d8f376162c1733b14a4c1896bfb3fff6e43fd79c5bfc277"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/D24X3BSPUT36I2EW3Q3Y34VEFO/bundle.json","state_url":"https://pith.science/pith/D24X3BSPUT36I2EW3Q3Y34VEFO/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/D24X3BSPUT36I2EW3Q3Y34VEFO/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":"2026-08-11T21:04:04Z","links":{"resolver":"https://pith.science/pith/D24X3BSPUT36I2EW3Q3Y34VEFO","bundle":"https://pith.science/pith/D24X3BSPUT36I2EW3Q3Y34VEFO/bundle.json","state":"https://pith.science/pith/D24X3BSPUT36I2EW3Q3Y34VEFO/state.json","well_known_bundle":"https://pith.science/.well-known/pith/D24X3BSPUT36I2EW3Q3Y34VEFO/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2000:D24X3BSPUT36I2EW3Q3Y34VEFO","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":"98aa73c198274c609882e4e6518ddefc4437fc8afecea2e09b8d7ad8ce1346af","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2000-07-21T13:52:47Z","title_canon_sha256":"22b689275a1b46a3f9adeeb93f14085364982d9ea0ffcb557b0a9951e627c3fb"},"schema_version":"1.0","source":{"id":"hep-th/0007175","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0007175","created_at":"2026-07-04T17:25:45Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0007175v1","created_at":"2026-07-04T17:25:45Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0007175","created_at":"2026-07-04T17:25:45Z"},{"alias_kind":"pith_short_12","alias_value":"D24X3BSPUT36","created_at":"2026-07-04T17:25:45Z"},{"alias_kind":"pith_short_16","alias_value":"D24X3BSPUT36I2EW","created_at":"2026-07-04T17:25:45Z"},{"alias_kind":"pith_short_8","alias_value":"D24X3BSP","created_at":"2026-07-04T17:25:45Z"}],"graph_snapshots":[{"event_id":"sha256:e07f69ec2835efa88d8f376162c1733b14a4c1896bfb3fff6e43fd79c5bfc277","target":"graph","created_at":"2026-07-04T17:25:45Z","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/hep-th/0007175/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"K-theory provides a framework for classifying Ramond-Ramond (RR) charges and fields. K-theory of manifolds has a natural extension to K-theory of noncommutative algebras, such as the algebra considered in noncommutative Yang-Mills theory or in open string field theory. In a number of concrete problems, the K-theory analysis proceeds most naturally if one starts out with an infinite set of D-branes, reduced by tachyon condensation to a finite set. This suggests that string field theory should be reconsidered for N=infinity.","authors_text":"Edward Witten","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2000-07-21T13:52:47Z","title":"Overview Of K-Theory Applied To Strings"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0007175","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:c035f4613c05fb2b9eec5eaff2cdfd18387a824afede91cbe049c562af2c0375","target":"record","created_at":"2026-07-04T17:25:45Z","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":"98aa73c198274c609882e4e6518ddefc4437fc8afecea2e09b8d7ad8ce1346af","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2000-07-21T13:52:47Z","title_canon_sha256":"22b689275a1b46a3f9adeeb93f14085364982d9ea0ffcb557b0a9951e627c3fb"},"schema_version":"1.0","source":{"id":"hep-th/0007175","kind":"arxiv","version":1}},"canonical_sha256":"1eb97d864fa4f7e46896dc378df2a42b888f0c71f30ee644717d248743e9681e","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1eb97d864fa4f7e46896dc378df2a42b888f0c71f30ee644717d248743e9681e","first_computed_at":"2026-07-04T17:25:45.932438Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T17:25:45.932438Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1fiPGQZHRprPQqMs8vEaPIbF8mVvRmC1NBl8tKVTaovAirfpyQ1+oTfASn57cG7uynhgrJc9q+WnbwPOHg70CA==","signature_status":"signed_v1","signed_at":"2026-07-04T17:25:45.932802Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0007175","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:c035f4613c05fb2b9eec5eaff2cdfd18387a824afede91cbe049c562af2c0375","sha256:e07f69ec2835efa88d8f376162c1733b14a4c1896bfb3fff6e43fd79c5bfc277"],"state_sha256":"a5a4524c5d5a24fcf3649f78ec8cd6285610e83f3e8605b7b0e426ef14bd06c7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6oQKZe1lEaOCZ+7qhPA/plQpX6zpvztFOiy+IKAXudSl5TwN9O73WkgN+aSjEJDjWU4pJERqujBpi0dvrvBaDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T21:04:04.128571Z","bundle_sha256":"bcb0001537026789ad8f1140edc72be23a70300d6cebcc9d32684847cd9ca3f2"}}