{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:DBRZHRNTWSN5JQEKRXW23KWBFN","short_pith_number":"pith:DBRZHRNT","canonical_record":{"source":{"id":"1406.3601","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-06-13T18:17:59Z","cross_cats_sorted":["hep-th","math.MP","math.QA"],"title_canon_sha256":"d94ae4bfb0287ff1a22506af5aad068b3eb346c591bca6f0a495bb1e426df741","abstract_canon_sha256":"c0383d14eddbaf14e57e0a6cb83259790504468291b430ef08e17c5dd9e4426d"},"schema_version":"1.0"},"canonical_sha256":"186393c5b3b49bd4c08a8dedadaac12b5f078b5c8f45289064fcd9c32317b3b0","source":{"kind":"arxiv","id":"1406.3601","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.3601","created_at":"2026-05-18T01:31:46Z"},{"alias_kind":"arxiv_version","alias_value":"1406.3601v1","created_at":"2026-05-18T01:31:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.3601","created_at":"2026-05-18T01:31:46Z"},{"alias_kind":"pith_short_12","alias_value":"DBRZHRNTWSN5","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"DBRZHRNTWSN5JQEK","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"DBRZHRNT","created_at":"2026-05-18T12:28:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:DBRZHRNTWSN5JQEKRXW23KWBFN","target":"record","payload":{"canonical_record":{"source":{"id":"1406.3601","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-06-13T18:17:59Z","cross_cats_sorted":["hep-th","math.MP","math.QA"],"title_canon_sha256":"d94ae4bfb0287ff1a22506af5aad068b3eb346c591bca6f0a495bb1e426df741","abstract_canon_sha256":"c0383d14eddbaf14e57e0a6cb83259790504468291b430ef08e17c5dd9e4426d"},"schema_version":"1.0"},"canonical_sha256":"186393c5b3b49bd4c08a8dedadaac12b5f078b5c8f45289064fcd9c32317b3b0","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:31:46.604747Z","signature_b64":"paOSmZSd3AvwgtNlbNnCeVc1LtxNLfbGNDRCmC4P23W5pCrbq1xcbKsQM3qqwGbSHokAsM/Xlkinh6IUnp8RDQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"186393c5b3b49bd4c08a8dedadaac12b5f078b5c8f45289064fcd9c32317b3b0","last_reissued_at":"2026-05-18T01:31:46.604331Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:31:46.604331Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1406.3601","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":"2026-05-18T01:31:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"tLABg1fPL982b8KKnZjuSaBU8FPiWnaTQaAIQ9vvQOS3eP9YXIw+WMy4wE21nY+3q79x+Qr2VA2nY+4O/iv1AA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T10:40:18.626229Z"},"content_sha256":"a57c8277dd4c5c88c680a04545892f8e942ed20a8ec5979b31d4dc890be82cb2","schema_version":"1.0","event_id":"sha256:a57c8277dd4c5c88c680a04545892f8e942ed20a8ec5979b31d4dc890be82cb2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:DBRZHRNTWSN5JQEKRXW23KWBFN","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Even symplectic supermanifolds and double field theory","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math.MP","math.QA"],"primary_cat":"math-ph","authors_text":"Andreas Deser, Jim Stasheff","submitted_at":"2014-06-13T18:17:59Z","abstract_excerpt":"Over many decades, the word \"double\" has appeared in various contexts, at times seemingly unrelated. Several have some relation to mathematical physics. Recently, this has become particularly strking in DFT (double field theory). Two 'doubles' that are particularly relevant are double vector bundles and Drinfel'd doubles. The original Drinfel'd double occurred in the contexts of quantum groups and of Lie bialgebras. Quoting T. Voronov: \"Double Lie algebroids arose in the works on double Lie groupoids and in connection with an analog for Lie bialgebroids of the classical Drinfel'd double of Lie"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.3601","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":"2026-05-18T01:31:46Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"NHqsJZT2d/RmLR60gF6mLO8QNERB8TMuf63iOVBS5SBaKNVmjm2sOncQPrbV4mResjH4PPYByKcJIno+fUPNBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-03T10:40:18.626596Z"},"content_sha256":"d73ab97ce86afc5d4f6d1b5055f4a0ac64fd2cd0554e5f6eceaa76c717b75ade","schema_version":"1.0","event_id":"sha256:d73ab97ce86afc5d4f6d1b5055f4a0ac64fd2cd0554e5f6eceaa76c717b75ade"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/DBRZHRNTWSN5JQEKRXW23KWBFN/bundle.json","state_url":"https://pith.science/pith/DBRZHRNTWSN5JQEKRXW23KWBFN/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/DBRZHRNTWSN5JQEKRXW23KWBFN/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":"2026-06-03T10:40:18Z","links":{"resolver":"https://pith.science/pith/DBRZHRNTWSN5JQEKRXW23KWBFN","bundle":"https://pith.science/pith/DBRZHRNTWSN5JQEKRXW23KWBFN/bundle.json","state":"https://pith.science/pith/DBRZHRNTWSN5JQEKRXW23KWBFN/state.json","well_known_bundle":"https://pith.science/.well-known/pith/DBRZHRNTWSN5JQEKRXW23KWBFN/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:DBRZHRNTWSN5JQEKRXW23KWBFN","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":"c0383d14eddbaf14e57e0a6cb83259790504468291b430ef08e17c5dd9e4426d","cross_cats_sorted":["hep-th","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-06-13T18:17:59Z","title_canon_sha256":"d94ae4bfb0287ff1a22506af5aad068b3eb346c591bca6f0a495bb1e426df741"},"schema_version":"1.0","source":{"id":"1406.3601","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1406.3601","created_at":"2026-05-18T01:31:46Z"},{"alias_kind":"arxiv_version","alias_value":"1406.3601v1","created_at":"2026-05-18T01:31:46Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1406.3601","created_at":"2026-05-18T01:31:46Z"},{"alias_kind":"pith_short_12","alias_value":"DBRZHRNTWSN5","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_16","alias_value":"DBRZHRNTWSN5JQEK","created_at":"2026-05-18T12:28:25Z"},{"alias_kind":"pith_short_8","alias_value":"DBRZHRNT","created_at":"2026-05-18T12:28:25Z"}],"graph_snapshots":[{"event_id":"sha256:d73ab97ce86afc5d4f6d1b5055f4a0ac64fd2cd0554e5f6eceaa76c717b75ade","target":"graph","created_at":"2026-05-18T01:31:46Z","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":"Over many decades, the word \"double\" has appeared in various contexts, at times seemingly unrelated. Several have some relation to mathematical physics. Recently, this has become particularly strking in DFT (double field theory). Two 'doubles' that are particularly relevant are double vector bundles and Drinfel'd doubles. The original Drinfel'd double occurred in the contexts of quantum groups and of Lie bialgebras. Quoting T. Voronov: \"Double Lie algebroids arose in the works on double Lie groupoids and in connection with an analog for Lie bialgebroids of the classical Drinfel'd double of Lie","authors_text":"Andreas Deser, Jim Stasheff","cross_cats":["hep-th","math.MP","math.QA"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-06-13T18:17:59Z","title":"Even symplectic supermanifolds and double field theory"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1406.3601","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:a57c8277dd4c5c88c680a04545892f8e942ed20a8ec5979b31d4dc890be82cb2","target":"record","created_at":"2026-05-18T01:31:46Z","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":"c0383d14eddbaf14e57e0a6cb83259790504468291b430ef08e17c5dd9e4426d","cross_cats_sorted":["hep-th","math.MP","math.QA"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-06-13T18:17:59Z","title_canon_sha256":"d94ae4bfb0287ff1a22506af5aad068b3eb346c591bca6f0a495bb1e426df741"},"schema_version":"1.0","source":{"id":"1406.3601","kind":"arxiv","version":1}},"canonical_sha256":"186393c5b3b49bd4c08a8dedadaac12b5f078b5c8f45289064fcd9c32317b3b0","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"186393c5b3b49bd4c08a8dedadaac12b5f078b5c8f45289064fcd9c32317b3b0","first_computed_at":"2026-05-18T01:31:46.604331Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:31:46.604331Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"paOSmZSd3AvwgtNlbNnCeVc1LtxNLfbGNDRCmC4P23W5pCrbq1xcbKsQM3qqwGbSHokAsM/Xlkinh6IUnp8RDQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:31:46.604747Z","signed_message":"canonical_sha256_bytes"},"source_id":"1406.3601","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:a57c8277dd4c5c88c680a04545892f8e942ed20a8ec5979b31d4dc890be82cb2","sha256:d73ab97ce86afc5d4f6d1b5055f4a0ac64fd2cd0554e5f6eceaa76c717b75ade"],"state_sha256":"f9df94a35742e4e74e67d8652236d7b70178852a39e49bf03552962c424fd7d8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"+ZFmDqa/hjPVkGNQoJP7SLuoafvZEDCZFrHGYqj92RUw9yuMXKe5wY6JyC9fT++a4BRen/js6B9ShKyE5u9PAg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-03T10:40:18.628539Z","bundle_sha256":"1c5ca278efc7d277f2ca59f284250bd073425c827d267786094afa27f211b499"}}