{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2009:KEBWWNV75SGOZD2CSVBSWR7OOR","short_pith_number":"pith:KEBWWNV7","canonical_record":{"source":{"id":"0908.0056","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-08-01T07:45:39Z","cross_cats_sorted":[],"title_canon_sha256":"f3e2db27ed9bff4cade287ca746ef4edf18c0357ef123fb1132cf4a997e48496","abstract_canon_sha256":"7628fee2d3a239941d6584566625125daba2c9aa2ab2847097f557039dd55a43"},"schema_version":"1.0"},"canonical_sha256":"51036b36bfec8cec8f4295432b47ee7444c0baffa6e74f56fb0c718e41e8fdcf","source":{"kind":"arxiv","id":"0908.0056","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.0056","created_at":"2026-05-18T02:34:38Z"},{"alias_kind":"arxiv_version","alias_value":"0908.0056v2","created_at":"2026-05-18T02:34:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.0056","created_at":"2026-05-18T02:34:38Z"},{"alias_kind":"pith_short_12","alias_value":"KEBWWNV75SGO","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"KEBWWNV75SGOZD2C","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"KEBWWNV7","created_at":"2026-05-18T12:26:00Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2009:KEBWWNV75SGOZD2CSVBSWR7OOR","target":"record","payload":{"canonical_record":{"source":{"id":"0908.0056","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-08-01T07:45:39Z","cross_cats_sorted":[],"title_canon_sha256":"f3e2db27ed9bff4cade287ca746ef4edf18c0357ef123fb1132cf4a997e48496","abstract_canon_sha256":"7628fee2d3a239941d6584566625125daba2c9aa2ab2847097f557039dd55a43"},"schema_version":"1.0"},"canonical_sha256":"51036b36bfec8cec8f4295432b47ee7444c0baffa6e74f56fb0c718e41e8fdcf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T02:34:38.186914Z","signature_b64":"UunTodk8z8cH4gIpq4jEcS6XT/EJG7P4IRuFDaB2mCxhZJUz9Uu1mJB7IlXSj9wilq5gHQYKx/aWtn0UchOvCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"51036b36bfec8cec8f4295432b47ee7444c0baffa6e74f56fb0c718e41e8fdcf","last_reissued_at":"2026-05-18T02:34:38.186227Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T02:34:38.186227Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"0908.0056","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":"2026-05-18T02:34:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"SLfnOw8Yr/cJdn3zCX7eJzSbDSo1IRiiLMyAi8nOJRYgF59Tey6SGltOz+EDOqbgdceRLsWpgWAMCFgZfz7qAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T01:30:16.282472Z"},"content_sha256":"9f47dc2b7b6c651ad7b979d2803f92ddfbe0955fef0bbac25c32fe6da76caa81","schema_version":"1.0","event_id":"sha256:9f47dc2b7b6c651ad7b979d2803f92ddfbe0955fef0bbac25c32fe6da76caa81"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2009:KEBWWNV75SGOZD2CSVBSWR7OOR","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Ghost story. III. Back to ghost number zero","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"C.Maccaferri, D.D.Tolla, L. Bonora","submitted_at":"2009-08-01T07:45:39Z","abstract_excerpt":"After having defined a 3-strings midpoint-inserted vertex for the bc system, we analyze the relation between gh=0 states (wedge states) and gh=3 midpoint duals. We find explicit and regular relations connecting the two objects. In the case of wedge states this allows us to write down a spectral decomposition for the gh=0 Neumann matrices, despite the fact that they are not commuting with the matrix representation of K1. We thus trace back the origin of this noncommutativity to be a consequence of the imaginary poles of the wedge eigenvalues in the complex k-plane. With explicit reconstruction "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.0056","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":"2026-05-18T02:34:38Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+sCDm39UYHdVcTVLnMooxvt5kQHpq5BJ98l64MfvxOoxpUKJazVsFMiAVR3rBjy9rARAkWoP9zuoNRgINQ/BBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-09T01:30:16.283065Z"},"content_sha256":"cad3855920b1124ad40692dece1a513915bbab94343363a956ecf13b34cc0599","schema_version":"1.0","event_id":"sha256:cad3855920b1124ad40692dece1a513915bbab94343363a956ecf13b34cc0599"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/KEBWWNV75SGOZD2CSVBSWR7OOR/bundle.json","state_url":"https://pith.science/pith/KEBWWNV75SGOZD2CSVBSWR7OOR/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/KEBWWNV75SGOZD2CSVBSWR7OOR/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":"2026-06-09T01:30:16Z","links":{"resolver":"https://pith.science/pith/KEBWWNV75SGOZD2CSVBSWR7OOR","bundle":"https://pith.science/pith/KEBWWNV75SGOZD2CSVBSWR7OOR/bundle.json","state":"https://pith.science/pith/KEBWWNV75SGOZD2CSVBSWR7OOR/state.json","well_known_bundle":"https://pith.science/.well-known/pith/KEBWWNV75SGOZD2CSVBSWR7OOR/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2009:KEBWWNV75SGOZD2CSVBSWR7OOR","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":"7628fee2d3a239941d6584566625125daba2c9aa2ab2847097f557039dd55a43","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-08-01T07:45:39Z","title_canon_sha256":"f3e2db27ed9bff4cade287ca746ef4edf18c0357ef123fb1132cf4a997e48496"},"schema_version":"1.0","source":{"id":"0908.0056","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"0908.0056","created_at":"2026-05-18T02:34:38Z"},{"alias_kind":"arxiv_version","alias_value":"0908.0056v2","created_at":"2026-05-18T02:34:38Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.0908.0056","created_at":"2026-05-18T02:34:38Z"},{"alias_kind":"pith_short_12","alias_value":"KEBWWNV75SGO","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_16","alias_value":"KEBWWNV75SGOZD2C","created_at":"2026-05-18T12:26:00Z"},{"alias_kind":"pith_short_8","alias_value":"KEBWWNV7","created_at":"2026-05-18T12:26:00Z"}],"graph_snapshots":[{"event_id":"sha256:cad3855920b1124ad40692dece1a513915bbab94343363a956ecf13b34cc0599","target":"graph","created_at":"2026-05-18T02:34:38Z","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":"After having defined a 3-strings midpoint-inserted vertex for the bc system, we analyze the relation between gh=0 states (wedge states) and gh=3 midpoint duals. We find explicit and regular relations connecting the two objects. In the case of wedge states this allows us to write down a spectral decomposition for the gh=0 Neumann matrices, despite the fact that they are not commuting with the matrix representation of K1. We thus trace back the origin of this noncommutativity to be a consequence of the imaginary poles of the wedge eigenvalues in the complex k-plane. With explicit reconstruction ","authors_text":"C.Maccaferri, D.D.Tolla, L. Bonora","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-08-01T07:45:39Z","title":"Ghost story. III. Back to ghost number zero"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"0908.0056","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":"sha256:9f47dc2b7b6c651ad7b979d2803f92ddfbe0955fef0bbac25c32fe6da76caa81","target":"record","created_at":"2026-05-18T02:34:38Z","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":"7628fee2d3a239941d6584566625125daba2c9aa2ab2847097f557039dd55a43","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2009-08-01T07:45:39Z","title_canon_sha256":"f3e2db27ed9bff4cade287ca746ef4edf18c0357ef123fb1132cf4a997e48496"},"schema_version":"1.0","source":{"id":"0908.0056","kind":"arxiv","version":2}},"canonical_sha256":"51036b36bfec8cec8f4295432b47ee7444c0baffa6e74f56fb0c718e41e8fdcf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"51036b36bfec8cec8f4295432b47ee7444c0baffa6e74f56fb0c718e41e8fdcf","first_computed_at":"2026-05-18T02:34:38.186227Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T02:34:38.186227Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"UunTodk8z8cH4gIpq4jEcS6XT/EJG7P4IRuFDaB2mCxhZJUz9Uu1mJB7IlXSj9wilq5gHQYKx/aWtn0UchOvCQ==","signature_status":"signed_v1","signed_at":"2026-05-18T02:34:38.186914Z","signed_message":"canonical_sha256_bytes"},"source_id":"0908.0056","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:9f47dc2b7b6c651ad7b979d2803f92ddfbe0955fef0bbac25c32fe6da76caa81","sha256:cad3855920b1124ad40692dece1a513915bbab94343363a956ecf13b34cc0599"],"state_sha256":"53bb21336444825cdcab3f62886a103b22d96196d582945dbee83b0e4798670e"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"hLlgLG9jNqur3m4RMbKpv0mprMttGhkg7idNS7CTGNOBKv79EQCOusxucnZ2KyJGrzvEflWxacsgud9CEdWcDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-09T01:30:16.286331Z","bundle_sha256":"25e528d6450bc1bd4fcd112d228c2ab4edd465dae564edf95b2a8e6b84127d72"}}