{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2005:C6CN6VGUUW744FXOJBMDSZCNJL","short_pith_number":"pith:C6CN6VGU","canonical_record":{"source":{"id":"hep-th/0511286","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2005-11-29T17:18:20Z","cross_cats_sorted":[],"title_canon_sha256":"42cf0df0d8592879fe191f077c722c793a8daddcc599903d136d9e9326258579","abstract_canon_sha256":"a04571e060f539b4481669c52976f0a159494dd69adeae28c8a8898036ded9ab"},"schema_version":"1.0"},"canonical_sha256":"1784df54d4a5bfce16ee485839644d4aeb04b22e92d8782fe4916986297c27fc","source":{"kind":"arxiv","id":"hep-th/0511286","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0511286","created_at":"2026-07-04T15:26:05Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0511286v2","created_at":"2026-07-04T15:26:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0511286","created_at":"2026-07-04T15:26:05Z"},{"alias_kind":"pith_short_12","alias_value":"C6CN6VGUUW74","created_at":"2026-07-04T15:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"C6CN6VGUUW744FXO","created_at":"2026-07-04T15:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"C6CN6VGU","created_at":"2026-07-04T15:26:05Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2005:C6CN6VGUUW744FXOJBMDSZCNJL","target":"record","payload":{"canonical_record":{"source":{"id":"hep-th/0511286","kind":"arxiv","version":2},"metadata":{"license":"","primary_cat":"hep-th","submitted_at":"2005-11-29T17:18:20Z","cross_cats_sorted":[],"title_canon_sha256":"42cf0df0d8592879fe191f077c722c793a8daddcc599903d136d9e9326258579","abstract_canon_sha256":"a04571e060f539b4481669c52976f0a159494dd69adeae28c8a8898036ded9ab"},"schema_version":"1.0"},"canonical_sha256":"1784df54d4a5bfce16ee485839644d4aeb04b22e92d8782fe4916986297c27fc","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T15:26:05.582681Z","signature_b64":"aUBIfgpzWco6YgyDPl0tVrFKjTZo2H7fayjouRV3/kn5wG3vrZBvGnAK4zE9L9PrkRVzkSSAG6KfkA0xiSjlCg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"1784df54d4a5bfce16ee485839644d4aeb04b22e92d8782fe4916986297c27fc","last_reissued_at":"2026-07-04T15:26:05.582281Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T15:26:05.582281Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"hep-th/0511286","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":"2026-07-04T15:26:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"y7jWkM67Aq7KUJeuvrpU7nUpK6KAX/s+QkQoSPPNAKDFPuzTqP3N8IMI37Qp/EX2gSBm7p7cFgXS+cZfsBzEAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T09:14:30.490218Z"},"content_sha256":"e3a959670fa8f6792b123451f33b08fbda68a2fd60287b8bc85dcdaa3294049e","schema_version":"1.0","event_id":"sha256:e3a959670fa8f6792b123451f33b08fbda68a2fd60287b8bc85dcdaa3294049e"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2005:C6CN6VGUUW744FXOJBMDSZCNJL","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Analytic solution for tachyon condensation in open string field theory","license":"","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Martin Schnabl","submitted_at":"2005-11-29T17:18:20Z","abstract_excerpt":"We propose a new basis in Witten's open string field theory, in which the star product simplifies considerably. For a convenient choice of gauge the classical string field equation of motion yields straightforwardly an exact analytic solution that represents the nonperturbative tachyon vacuum. The solution is given in terms of Bernoulli numbers and the equation of motion can be viewed as novel Euler--Ramanujan-type identity. It turns out that the solution is the Euler--Maclaurin asymptotic expansion of a sum over wedge states with certain insertions. This new form is fully regular from the poi"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0511286","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/hep-th/0511286/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":"2026-07-04T15:26:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Sg7P11lcQh4Z6E5ifyrJA9C7xYtv0mbvzPXRA1kglunttA5sWtjysPBjfW97ALqpnMqx7htmQVS6jUGJmszmAw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-14T09:14:30.491128Z"},"content_sha256":"bb56951e0c66fc445ff25318457f1a88b4a057162232ca7f8116cf2d57d4720b","schema_version":"1.0","event_id":"sha256:bb56951e0c66fc445ff25318457f1a88b4a057162232ca7f8116cf2d57d4720b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/C6CN6VGUUW744FXOJBMDSZCNJL/bundle.json","state_url":"https://pith.science/pith/C6CN6VGUUW744FXOJBMDSZCNJL/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/C6CN6VGUUW744FXOJBMDSZCNJL/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":"2026-08-14T09:14:30Z","links":{"resolver":"https://pith.science/pith/C6CN6VGUUW744FXOJBMDSZCNJL","bundle":"https://pith.science/pith/C6CN6VGUUW744FXOJBMDSZCNJL/bundle.json","state":"https://pith.science/pith/C6CN6VGUUW744FXOJBMDSZCNJL/state.json","well_known_bundle":"https://pith.science/.well-known/pith/C6CN6VGUUW744FXOJBMDSZCNJL/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2005:C6CN6VGUUW744FXOJBMDSZCNJL","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":"a04571e060f539b4481669c52976f0a159494dd69adeae28c8a8898036ded9ab","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2005-11-29T17:18:20Z","title_canon_sha256":"42cf0df0d8592879fe191f077c722c793a8daddcc599903d136d9e9326258579"},"schema_version":"1.0","source":{"id":"hep-th/0511286","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"hep-th/0511286","created_at":"2026-07-04T15:26:05Z"},{"alias_kind":"arxiv_version","alias_value":"hep-th/0511286v2","created_at":"2026-07-04T15:26:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.hep-th/0511286","created_at":"2026-07-04T15:26:05Z"},{"alias_kind":"pith_short_12","alias_value":"C6CN6VGUUW74","created_at":"2026-07-04T15:26:05Z"},{"alias_kind":"pith_short_16","alias_value":"C6CN6VGUUW744FXO","created_at":"2026-07-04T15:26:05Z"},{"alias_kind":"pith_short_8","alias_value":"C6CN6VGU","created_at":"2026-07-04T15:26:05Z"}],"graph_snapshots":[{"event_id":"sha256:bb56951e0c66fc445ff25318457f1a88b4a057162232ca7f8116cf2d57d4720b","target":"graph","created_at":"2026-07-04T15:26:05Z","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/0511286/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We propose a new basis in Witten's open string field theory, in which the star product simplifies considerably. For a convenient choice of gauge the classical string field equation of motion yields straightforwardly an exact analytic solution that represents the nonperturbative tachyon vacuum. The solution is given in terms of Bernoulli numbers and the equation of motion can be viewed as novel Euler--Ramanujan-type identity. It turns out that the solution is the Euler--Maclaurin asymptotic expansion of a sum over wedge states with certain insertions. This new form is fully regular from the poi","authors_text":"Martin Schnabl","cross_cats":[],"headline":"","license":"","primary_cat":"hep-th","submitted_at":"2005-11-29T17:18:20Z","title":"Analytic solution for tachyon condensation in open string field theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"hep-th/0511286","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:e3a959670fa8f6792b123451f33b08fbda68a2fd60287b8bc85dcdaa3294049e","target":"record","created_at":"2026-07-04T15:26:05Z","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":"a04571e060f539b4481669c52976f0a159494dd69adeae28c8a8898036ded9ab","cross_cats_sorted":[],"license":"","primary_cat":"hep-th","submitted_at":"2005-11-29T17:18:20Z","title_canon_sha256":"42cf0df0d8592879fe191f077c722c793a8daddcc599903d136d9e9326258579"},"schema_version":"1.0","source":{"id":"hep-th/0511286","kind":"arxiv","version":2}},"canonical_sha256":"1784df54d4a5bfce16ee485839644d4aeb04b22e92d8782fe4916986297c27fc","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"1784df54d4a5bfce16ee485839644d4aeb04b22e92d8782fe4916986297c27fc","first_computed_at":"2026-07-04T15:26:05.582281Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T15:26:05.582281Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"aUBIfgpzWco6YgyDPl0tVrFKjTZo2H7fayjouRV3/kn5wG3vrZBvGnAK4zE9L9PrkRVzkSSAG6KfkA0xiSjlCg==","signature_status":"signed_v1","signed_at":"2026-07-04T15:26:05.582681Z","signed_message":"canonical_sha256_bytes"},"source_id":"hep-th/0511286","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e3a959670fa8f6792b123451f33b08fbda68a2fd60287b8bc85dcdaa3294049e","sha256:bb56951e0c66fc445ff25318457f1a88b4a057162232ca7f8116cf2d57d4720b"],"state_sha256":"2ee749a3c156337e6d32285046936c7fa6e3f44fe309b6da6a6976187875f4b3"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cVOc3aS/A5y+r0YQydyMza7Wtt4n+uz0LgZtU2bm2b/IOxOMN3RFjSk9RLxJZp887MGLrWKjuO5rg/53bHaxDA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-14T09:14:30.512443Z","bundle_sha256":"2bb4e2f4ccc8beef79f10e5fc1700403eb9142a1c7b2ef9fc2507b4051676313"}}