{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:B3P2JJO2VUGAKOTTV2J6U5HB4Q","short_pith_number":"pith:B3P2JJO2","canonical_record":{"source":{"id":"1502.02087","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-02-07T01:25:07Z","cross_cats_sorted":["hep-th","math-ph","math.GT","math.MP"],"title_canon_sha256":"44d5a818ea82f0877710e903904be70dfc9ed3be1bab9616565cf07be8b5654c","abstract_canon_sha256":"8d112953fa00615d481e57dd15adbbbb49f79a23ed32e877051c2ca904608e4b"},"schema_version":"1.0"},"canonical_sha256":"0edfa4a5daad0c053a73ae93ea74e1e4155ab7e5a92faefd8cc1166589138155","source":{"kind":"arxiv","id":"1502.02087","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.02087","created_at":"2026-05-18T01:41:04Z"},{"alias_kind":"arxiv_version","alias_value":"1502.02087v1","created_at":"2026-05-18T01:41:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.02087","created_at":"2026-05-18T01:41:04Z"},{"alias_kind":"pith_short_12","alias_value":"B3P2JJO2VUGA","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"B3P2JJO2VUGAKOTT","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"B3P2JJO2","created_at":"2026-05-18T12:29:14Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:B3P2JJO2VUGAKOTTV2J6U5HB4Q","target":"record","payload":{"canonical_record":{"source":{"id":"1502.02087","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-02-07T01:25:07Z","cross_cats_sorted":["hep-th","math-ph","math.GT","math.MP"],"title_canon_sha256":"44d5a818ea82f0877710e903904be70dfc9ed3be1bab9616565cf07be8b5654c","abstract_canon_sha256":"8d112953fa00615d481e57dd15adbbbb49f79a23ed32e877051c2ca904608e4b"},"schema_version":"1.0"},"canonical_sha256":"0edfa4a5daad0c053a73ae93ea74e1e4155ab7e5a92faefd8cc1166589138155","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:41:04.305874Z","signature_b64":"OCBUtrF6rjU8kV32Ub0cTPG4V/xRAvvbcG6pSDTqHwjnTo0XAFpJHDNYuxKHda5zpyd0Qxrj6dB2GqWukl3RBQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0edfa4a5daad0c053a73ae93ea74e1e4155ab7e5a92faefd8cc1166589138155","last_reissued_at":"2026-05-18T01:41:04.305158Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:41:04.305158Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1502.02087","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":"2026-05-18T01:41:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"r205m/nhrSji5qT4J1c5ce2JQAZdPFu7CU9/a4BsclNonsz81g0BMRD/payWnCPvSdU8rDOBR03EiR9tbRpiDg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T08:36:49.798785Z"},"content_sha256":"89d00c1a9b0190da861f59fabeff90aa97a4f93dd7a5f5cb1c01e0259ada28d2","schema_version":"1.0","event_id":"sha256:89d00c1a9b0190da861f59fabeff90aa97a4f93dd7a5f5cb1c01e0259ada28d2"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:B3P2JJO2VUGAKOTTV2J6U5HB4Q","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"How to include fermions into General relativity by exotic smoothness","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["hep-th","math-ph","math.GT","math.MP"],"primary_cat":"gr-qc","authors_text":"C.H. Brans, T. Asselmeyer-Maluga","submitted_at":"2015-02-07T01:25:07Z","abstract_excerpt":"This paper is two-fold. At first we will discuss the generation of source terms in the Einstein-Hilbert action by using (topologically complicated) compact 3-manifolds. There is a large class of compact 3-manifolds with boundary: a torus given as the complement of a (thickened) knot admitting a hyperbolic geometry, denoted as hyperbolic knot complements in the following. We will discuss the fermionic properties of this class of 3-manifolds, i.e. we are able to identify a fermion with a hyperbolic knot complement. Secondly we will construct a large class of space-times, the exotic $\\mathbb{R}^{"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.02087","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":"2026-05-18T01:41:04Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yaocGt/iFq0+VE6eDWKBK0T9lW6sncRfeugE4EtE9SzxjSM+b63xYHuQHWedVOYrhDlq0Fk1UHKt6yCrLLERAg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-29T08:36:49.799135Z"},"content_sha256":"8d01d7f97a20a11a58f8a5b353df7df2d4d2158684695b13f207a1cd23be328c","schema_version":"1.0","event_id":"sha256:8d01d7f97a20a11a58f8a5b353df7df2d4d2158684695b13f207a1cd23be328c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B3P2JJO2VUGAKOTTV2J6U5HB4Q/bundle.json","state_url":"https://pith.science/pith/B3P2JJO2VUGAKOTTV2J6U5HB4Q/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B3P2JJO2VUGAKOTTV2J6U5HB4Q/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":"2026-06-29T08:36:49Z","links":{"resolver":"https://pith.science/pith/B3P2JJO2VUGAKOTTV2J6U5HB4Q","bundle":"https://pith.science/pith/B3P2JJO2VUGAKOTTV2J6U5HB4Q/bundle.json","state":"https://pith.science/pith/B3P2JJO2VUGAKOTTV2J6U5HB4Q/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B3P2JJO2VUGAKOTTV2J6U5HB4Q/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:B3P2JJO2VUGAKOTTV2J6U5HB4Q","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":"8d112953fa00615d481e57dd15adbbbb49f79a23ed32e877051c2ca904608e4b","cross_cats_sorted":["hep-th","math-ph","math.GT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-02-07T01:25:07Z","title_canon_sha256":"44d5a818ea82f0877710e903904be70dfc9ed3be1bab9616565cf07be8b5654c"},"schema_version":"1.0","source":{"id":"1502.02087","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1502.02087","created_at":"2026-05-18T01:41:04Z"},{"alias_kind":"arxiv_version","alias_value":"1502.02087v1","created_at":"2026-05-18T01:41:04Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1502.02087","created_at":"2026-05-18T01:41:04Z"},{"alias_kind":"pith_short_12","alias_value":"B3P2JJO2VUGA","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_16","alias_value":"B3P2JJO2VUGAKOTT","created_at":"2026-05-18T12:29:14Z"},{"alias_kind":"pith_short_8","alias_value":"B3P2JJO2","created_at":"2026-05-18T12:29:14Z"}],"graph_snapshots":[{"event_id":"sha256:8d01d7f97a20a11a58f8a5b353df7df2d4d2158684695b13f207a1cd23be328c","target":"graph","created_at":"2026-05-18T01:41:04Z","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":"This paper is two-fold. At first we will discuss the generation of source terms in the Einstein-Hilbert action by using (topologically complicated) compact 3-manifolds. There is a large class of compact 3-manifolds with boundary: a torus given as the complement of a (thickened) knot admitting a hyperbolic geometry, denoted as hyperbolic knot complements in the following. We will discuss the fermionic properties of this class of 3-manifolds, i.e. we are able to identify a fermion with a hyperbolic knot complement. Secondly we will construct a large class of space-times, the exotic $\\mathbb{R}^{","authors_text":"C.H. Brans, T. Asselmeyer-Maluga","cross_cats":["hep-th","math-ph","math.GT","math.MP"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-02-07T01:25:07Z","title":"How to include fermions into General relativity by exotic smoothness"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1502.02087","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":"sha256:89d00c1a9b0190da861f59fabeff90aa97a4f93dd7a5f5cb1c01e0259ada28d2","target":"record","created_at":"2026-05-18T01:41:04Z","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":"8d112953fa00615d481e57dd15adbbbb49f79a23ed32e877051c2ca904608e4b","cross_cats_sorted":["hep-th","math-ph","math.GT","math.MP"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-02-07T01:25:07Z","title_canon_sha256":"44d5a818ea82f0877710e903904be70dfc9ed3be1bab9616565cf07be8b5654c"},"schema_version":"1.0","source":{"id":"1502.02087","kind":"arxiv","version":1}},"canonical_sha256":"0edfa4a5daad0c053a73ae93ea74e1e4155ab7e5a92faefd8cc1166589138155","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0edfa4a5daad0c053a73ae93ea74e1e4155ab7e5a92faefd8cc1166589138155","first_computed_at":"2026-05-18T01:41:04.305158Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:41:04.305158Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"OCBUtrF6rjU8kV32Ub0cTPG4V/xRAvvbcG6pSDTqHwjnTo0XAFpJHDNYuxKHda5zpyd0Qxrj6dB2GqWukl3RBQ==","signature_status":"signed_v1","signed_at":"2026-05-18T01:41:04.305874Z","signed_message":"canonical_sha256_bytes"},"source_id":"1502.02087","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:89d00c1a9b0190da861f59fabeff90aa97a4f93dd7a5f5cb1c01e0259ada28d2","sha256:8d01d7f97a20a11a58f8a5b353df7df2d4d2158684695b13f207a1cd23be328c"],"state_sha256":"5018f1fff76f7b99f3cc4eeab5f963f77f33c96f46443b10efa98fa34815d48b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ShKWrYGgitQATksrBAE1auLLUIpVGKRoIEYDAn84ngfXgDI4lO4OYTYSH9dziAK98u41jrtQj9fJfofBcexmDg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-29T08:36:49.802026Z","bundle_sha256":"9b8700871f1e7c3ef5ad2387ca3d37e25cf04f9602281bd9c8efaef587ca2c9c"}}