{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:V7SIWCCWTL22LIKT6BAS6CIML5","short_pith_number":"pith:V7SIWCCW","canonical_record":{"source":{"id":"1611.08199","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.DG","submitted_at":"2016-11-24T14:45:34Z","cross_cats_sorted":["math-ph","math.AP","math.MP"],"title_canon_sha256":"726de5b3996ccbd9b71bc4adf08614f8a1966803603d750aa76313fccfcda9cd","abstract_canon_sha256":"b0d7de3214ad93c61bf383b215a4cc6408df6f6d0d43fcbf2b76128aef2d4c44"},"schema_version":"1.0"},"canonical_sha256":"afe48b08569af5a5a153f0412f090c5f6ab7ef89e6315c9e23bc8f8549f1eba2","source":{"kind":"arxiv","id":"1611.08199","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.08199","created_at":"2026-05-18T00:48:05Z"},{"alias_kind":"arxiv_version","alias_value":"1611.08199v2","created_at":"2026-05-18T00:48:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.08199","created_at":"2026-05-18T00:48:05Z"},{"alias_kind":"pith_short_12","alias_value":"V7SIWCCWTL22","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"V7SIWCCWTL22LIKT","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"V7SIWCCW","created_at":"2026-05-18T12:30:48Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:V7SIWCCWTL22LIKT6BAS6CIML5","target":"record","payload":{"canonical_record":{"source":{"id":"1611.08199","kind":"arxiv","version":2},"metadata":{"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.DG","submitted_at":"2016-11-24T14:45:34Z","cross_cats_sorted":["math-ph","math.AP","math.MP"],"title_canon_sha256":"726de5b3996ccbd9b71bc4adf08614f8a1966803603d750aa76313fccfcda9cd","abstract_canon_sha256":"b0d7de3214ad93c61bf383b215a4cc6408df6f6d0d43fcbf2b76128aef2d4c44"},"schema_version":"1.0"},"canonical_sha256":"afe48b08569af5a5a153f0412f090c5f6ab7ef89e6315c9e23bc8f8549f1eba2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:48:05.273158Z","signature_b64":"iJNf14F8jsK2oJMKyte1NIx6DXMOTDIcFkPLzsV2JsWnrgAJjloZtEztnzF0sV13AJR3kgi8IiIWM+oxirbACA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"afe48b08569af5a5a153f0412f090c5f6ab7ef89e6315c9e23bc8f8549f1eba2","last_reissued_at":"2026-05-18T00:48:05.272619Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:48:05.272619Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.08199","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":"2026-05-18T00:48:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"FCQaJ2OCKhgPaxBM8fWKBQqP88p4DV33Q0018Nd5fOKr6d19mO2H8icI9BrSqHMW5/KzaIf0fgGhm7Uxf1LqBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T20:00:52.165460Z"},"content_sha256":"95a8d58d04b962a2ed660738733414bd38abcbdcf3b579e151b44f5139ef7383","schema_version":"1.0","event_id":"sha256:95a8d58d04b962a2ed660738733414bd38abcbdcf3b579e151b44f5139ef7383"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:V7SIWCCWTL22LIKT6BAS6CIML5","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"On the full bosonic string from Minkowski space to Riemannian manifolds","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","headline":"","cross_cats":["math-ph","math.AP","math.MP"],"primary_cat":"math.DG","authors_text":"Volker Branding","submitted_at":"2016-11-24T14:45:34Z","abstract_excerpt":"We study the action of the full bosonic string for the domain being two-dimensional Minkowski space and the target a Riemannian manifold. Its critical points couple the wave map equation to a scalar and a two-form potential. Besides investigating their basic features we establish existence results for the latter."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.08199","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":"2026-05-18T00:48:05Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"W7+BVVrv2xS5mciVkckeLGuR3kMNVuOkfgNdEhwEGRksBsON595pEzgVFFu0R56A+qCGUfK7angPNnOMMTNyDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-23T20:00:52.165817Z"},"content_sha256":"dba368c1583b242f902a63388198787475a1e26fe59eaa8bedc4011367cdba6b","schema_version":"1.0","event_id":"sha256:dba368c1583b242f902a63388198787475a1e26fe59eaa8bedc4011367cdba6b"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/V7SIWCCWTL22LIKT6BAS6CIML5/bundle.json","state_url":"https://pith.science/pith/V7SIWCCWTL22LIKT6BAS6CIML5/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/V7SIWCCWTL22LIKT6BAS6CIML5/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":"2026-06-23T20:00:52Z","links":{"resolver":"https://pith.science/pith/V7SIWCCWTL22LIKT6BAS6CIML5","bundle":"https://pith.science/pith/V7SIWCCWTL22LIKT6BAS6CIML5/bundle.json","state":"https://pith.science/pith/V7SIWCCWTL22LIKT6BAS6CIML5/state.json","well_known_bundle":"https://pith.science/.well-known/pith/V7SIWCCWTL22LIKT6BAS6CIML5/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:V7SIWCCWTL22LIKT6BAS6CIML5","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":"b0d7de3214ad93c61bf383b215a4cc6408df6f6d0d43fcbf2b76128aef2d4c44","cross_cats_sorted":["math-ph","math.AP","math.MP"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.DG","submitted_at":"2016-11-24T14:45:34Z","title_canon_sha256":"726de5b3996ccbd9b71bc4adf08614f8a1966803603d750aa76313fccfcda9cd"},"schema_version":"1.0","source":{"id":"1611.08199","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.08199","created_at":"2026-05-18T00:48:05Z"},{"alias_kind":"arxiv_version","alias_value":"1611.08199v2","created_at":"2026-05-18T00:48:05Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.08199","created_at":"2026-05-18T00:48:05Z"},{"alias_kind":"pith_short_12","alias_value":"V7SIWCCWTL22","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_16","alias_value":"V7SIWCCWTL22LIKT","created_at":"2026-05-18T12:30:48Z"},{"alias_kind":"pith_short_8","alias_value":"V7SIWCCW","created_at":"2026-05-18T12:30:48Z"}],"graph_snapshots":[{"event_id":"sha256:dba368c1583b242f902a63388198787475a1e26fe59eaa8bedc4011367cdba6b","target":"graph","created_at":"2026-05-18T00:48:05Z","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"},"paper":{"abstract_excerpt":"We study the action of the full bosonic string for the domain being two-dimensional Minkowski space and the target a Riemannian manifold. Its critical points couple the wave map equation to a scalar and a two-form potential. Besides investigating their basic features we establish existence results for the latter.","authors_text":"Volker Branding","cross_cats":["math-ph","math.AP","math.MP"],"headline":"","license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.DG","submitted_at":"2016-11-24T14:45:34Z","title":"On the full bosonic string from Minkowski space to Riemannian manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.08199","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":"sha256:95a8d58d04b962a2ed660738733414bd38abcbdcf3b579e151b44f5139ef7383","target":"record","created_at":"2026-05-18T00:48:05Z","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":"b0d7de3214ad93c61bf383b215a4cc6408df6f6d0d43fcbf2b76128aef2d4c44","cross_cats_sorted":["math-ph","math.AP","math.MP"],"license":"http://creativecommons.org/licenses/by-nc-sa/4.0/","primary_cat":"math.DG","submitted_at":"2016-11-24T14:45:34Z","title_canon_sha256":"726de5b3996ccbd9b71bc4adf08614f8a1966803603d750aa76313fccfcda9cd"},"schema_version":"1.0","source":{"id":"1611.08199","kind":"arxiv","version":2}},"canonical_sha256":"afe48b08569af5a5a153f0412f090c5f6ab7ef89e6315c9e23bc8f8549f1eba2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"afe48b08569af5a5a153f0412f090c5f6ab7ef89e6315c9e23bc8f8549f1eba2","first_computed_at":"2026-05-18T00:48:05.272619Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:48:05.272619Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iJNf14F8jsK2oJMKyte1NIx6DXMOTDIcFkPLzsV2JsWnrgAJjloZtEztnzF0sV13AJR3kgi8IiIWM+oxirbACA==","signature_status":"signed_v1","signed_at":"2026-05-18T00:48:05.273158Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.08199","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:95a8d58d04b962a2ed660738733414bd38abcbdcf3b579e151b44f5139ef7383","sha256:dba368c1583b242f902a63388198787475a1e26fe59eaa8bedc4011367cdba6b"],"state_sha256":"8b061b010fb63505c5a6a76de2a38ca4a862827e80b8ddadfdb73151adc3ed21"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"0mXKuLRaqR4zmYEIbwcP2nzc4n1iGyryx4oudp2iPSpVMioCZ1DT1ZFSDnzWz+dhgeJp37WXJcAx5pv7O1FcBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-23T20:00:52.167834Z","bundle_sha256":"ae2612f49c2bb0abd366e219e3860a1ab9df4eb113c25cff55f6a0120af8ed0e"}}