{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2016:PASGGQGEM6IC7DVBZ4GJHNIPLG","short_pith_number":"pith:PASGGQGE","canonical_record":{"source":{"id":"1611.09808","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-29T19:52:52Z","cross_cats_sorted":[],"title_canon_sha256":"e6c9c8ad3379352e7addb377b3ca5b3c20443b3cd5badedf4174e829f6da1166","abstract_canon_sha256":"55c457452f60719ae994a8a633e013c0eafdf6679988bbcc9fdfcca96c5d71d6"},"schema_version":"1.0"},"canonical_sha256":"78246340c467902f8ea1cf0c93b50f59851fa24e7269c6c93aeed41dd22bbcf3","source":{"kind":"arxiv","id":"1611.09808","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.09808","created_at":"2026-05-18T00:50:56Z"},{"alias_kind":"arxiv_version","alias_value":"1611.09808v2","created_at":"2026-05-18T00:50:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.09808","created_at":"2026-05-18T00:50:56Z"},{"alias_kind":"pith_short_12","alias_value":"PASGGQGEM6IC","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"PASGGQGEM6IC7DVB","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"PASGGQGE","created_at":"2026-05-18T12:30:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2016:PASGGQGEM6IC7DVBZ4GJHNIPLG","target":"record","payload":{"canonical_record":{"source":{"id":"1611.09808","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-29T19:52:52Z","cross_cats_sorted":[],"title_canon_sha256":"e6c9c8ad3379352e7addb377b3ca5b3c20443b3cd5badedf4174e829f6da1166","abstract_canon_sha256":"55c457452f60719ae994a8a633e013c0eafdf6679988bbcc9fdfcca96c5d71d6"},"schema_version":"1.0"},"canonical_sha256":"78246340c467902f8ea1cf0c93b50f59851fa24e7269c6c93aeed41dd22bbcf3","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:50:56.316818Z","signature_b64":"SSfMzhDI8mODvULf71uGWgb5n/3nwPugTcOEKvfVx+qDZpNtJtvC++Yactlcd34hkYTL69Xe26vGlEwADtHuDg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"78246340c467902f8ea1cf0c93b50f59851fa24e7269c6c93aeed41dd22bbcf3","last_reissued_at":"2026-05-18T00:50:56.316195Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:50:56.316195Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1611.09808","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":"2026-05-18T00:50:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gue1XtZQWiPWmSiejA1PGjKxvb9oFFj3nVu2eFn9TCpoyjgogiZKBoX8NqLDoe5eVlldM7tJK1opDe6h6tocAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T12:02:20.981616Z"},"content_sha256":"177687f312ea5c88adc4dd0c87390cdc247c5c2fce90a5974863a8741ce8f13d","schema_version":"1.0","event_id":"sha256:177687f312ea5c88adc4dd0c87390cdc247c5c2fce90a5974863a8741ce8f13d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2016:PASGGQGEM6IC7DVBZ4GJHNIPLG","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"One loop amplitude for Heterotic string on $T^2$","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"hep-th","authors_text":"Soumya Sasmal","submitted_at":"2016-11-29T19:52:52Z","abstract_excerpt":"We revisit the results of one loop string amplitude calculations for the Heterotic string theory compactified on a torus with or without Wilson lines. We give the complete elliptic genus and the harmonic part of the CP-even amplitude for the gauge groups $SO(32)$, $E_8 \\times E_8$, $SO(16)^2$ and $SO(8)^4$."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.09808","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":"2026-05-18T00:50:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"br6m6062mm3KYzmta0zgaa6ybJkTaoYeits7DVzvQxsoBQVF+VfES26KGx7s+8VMEgkDM+pSlmr3jR1zntgmBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-25T12:02:20.982336Z"},"content_sha256":"fecc575f504c85ec1a2f0b20e138a9ef3d72609799fd7d73bd4e5a1f0b6c0bb9","schema_version":"1.0","event_id":"sha256:fecc575f504c85ec1a2f0b20e138a9ef3d72609799fd7d73bd4e5a1f0b6c0bb9"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/PASGGQGEM6IC7DVBZ4GJHNIPLG/bundle.json","state_url":"https://pith.science/pith/PASGGQGEM6IC7DVBZ4GJHNIPLG/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/PASGGQGEM6IC7DVBZ4GJHNIPLG/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":"2026-05-25T12:02:20Z","links":{"resolver":"https://pith.science/pith/PASGGQGEM6IC7DVBZ4GJHNIPLG","bundle":"https://pith.science/pith/PASGGQGEM6IC7DVBZ4GJHNIPLG/bundle.json","state":"https://pith.science/pith/PASGGQGEM6IC7DVBZ4GJHNIPLG/state.json","well_known_bundle":"https://pith.science/.well-known/pith/PASGGQGEM6IC7DVBZ4GJHNIPLG/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2016:PASGGQGEM6IC7DVBZ4GJHNIPLG","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":"55c457452f60719ae994a8a633e013c0eafdf6679988bbcc9fdfcca96c5d71d6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-29T19:52:52Z","title_canon_sha256":"e6c9c8ad3379352e7addb377b3ca5b3c20443b3cd5badedf4174e829f6da1166"},"schema_version":"1.0","source":{"id":"1611.09808","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1611.09808","created_at":"2026-05-18T00:50:56Z"},{"alias_kind":"arxiv_version","alias_value":"1611.09808v2","created_at":"2026-05-18T00:50:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1611.09808","created_at":"2026-05-18T00:50:56Z"},{"alias_kind":"pith_short_12","alias_value":"PASGGQGEM6IC","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_16","alias_value":"PASGGQGEM6IC7DVB","created_at":"2026-05-18T12:30:39Z"},{"alias_kind":"pith_short_8","alias_value":"PASGGQGE","created_at":"2026-05-18T12:30:39Z"}],"graph_snapshots":[{"event_id":"sha256:fecc575f504c85ec1a2f0b20e138a9ef3d72609799fd7d73bd4e5a1f0b6c0bb9","target":"graph","created_at":"2026-05-18T00:50:56Z","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 revisit the results of one loop string amplitude calculations for the Heterotic string theory compactified on a torus with or without Wilson lines. We give the complete elliptic genus and the harmonic part of the CP-even amplitude for the gauge groups $SO(32)$, $E_8 \\times E_8$, $SO(16)^2$ and $SO(8)^4$.","authors_text":"Soumya Sasmal","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-29T19:52:52Z","title":"One loop amplitude for Heterotic string on $T^2$"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1611.09808","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":"sha256:177687f312ea5c88adc4dd0c87390cdc247c5c2fce90a5974863a8741ce8f13d","target":"record","created_at":"2026-05-18T00:50:56Z","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":"55c457452f60719ae994a8a633e013c0eafdf6679988bbcc9fdfcca96c5d71d6","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"hep-th","submitted_at":"2016-11-29T19:52:52Z","title_canon_sha256":"e6c9c8ad3379352e7addb377b3ca5b3c20443b3cd5badedf4174e829f6da1166"},"schema_version":"1.0","source":{"id":"1611.09808","kind":"arxiv","version":2}},"canonical_sha256":"78246340c467902f8ea1cf0c93b50f59851fa24e7269c6c93aeed41dd22bbcf3","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"78246340c467902f8ea1cf0c93b50f59851fa24e7269c6c93aeed41dd22bbcf3","first_computed_at":"2026-05-18T00:50:56.316195Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:50:56.316195Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"SSfMzhDI8mODvULf71uGWgb5n/3nwPugTcOEKvfVx+qDZpNtJtvC++Yactlcd34hkYTL69Xe26vGlEwADtHuDg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:50:56.316818Z","signed_message":"canonical_sha256_bytes"},"source_id":"1611.09808","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:177687f312ea5c88adc4dd0c87390cdc247c5c2fce90a5974863a8741ce8f13d","sha256:fecc575f504c85ec1a2f0b20e138a9ef3d72609799fd7d73bd4e5a1f0b6c0bb9"],"state_sha256":"63dde273ed552c23a946df95a05166cc909ae149d9f869861eed9f50909161b6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"cSChqafpiYovynQ3aftY92u22gAr2QEpcKn0TJWuYxGah64iN3vTf9BhwdUL62AsFRglF9n3ElcwNtm36INrAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-25T12:02:20.986305Z","bundle_sha256":"38e139e4b07b5e54c3ac0740af1a6351414e8b4a5e91340a0eb9f342be59094c"}}