{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2015:WB6ELPAMUUK7SRL4332W6OYNNY","short_pith_number":"pith:WB6ELPAM","canonical_record":{"source":{"id":"1507.02945","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-07-10T15:48:31Z","cross_cats_sorted":[],"title_canon_sha256":"f134d8add441cb58f0a84ebe4a230c4d14dae47e47714d57d4a1ca5780407e79","abstract_canon_sha256":"24707d30bb7a6ae866aff5af3b07a46e93d58367ffea6fbeeef82e8689e4a141"},"schema_version":"1.0"},"canonical_sha256":"b07c45bc0ca515f9457cdef56f3b0d6e336f35a5c2beec26d790c10851a0a772","source":{"kind":"arxiv","id":"1507.02945","version":3},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.02945","created_at":"2026-05-18T01:35:37Z"},{"alias_kind":"arxiv_version","alias_value":"1507.02945v3","created_at":"2026-05-18T01:35:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.02945","created_at":"2026-05-18T01:35:37Z"},{"alias_kind":"pith_short_12","alias_value":"WB6ELPAMUUK7","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WB6ELPAMUUK7SRL4","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WB6ELPAM","created_at":"2026-05-18T12:29:47Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2015:WB6ELPAMUUK7SRL4332W6OYNNY","target":"record","payload":{"canonical_record":{"source":{"id":"1507.02945","kind":"arxiv","version":3},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-07-10T15:48:31Z","cross_cats_sorted":[],"title_canon_sha256":"f134d8add441cb58f0a84ebe4a230c4d14dae47e47714d57d4a1ca5780407e79","abstract_canon_sha256":"24707d30bb7a6ae866aff5af3b07a46e93d58367ffea6fbeeef82e8689e4a141"},"schema_version":"1.0"},"canonical_sha256":"b07c45bc0ca515f9457cdef56f3b0d6e336f35a5c2beec26d790c10851a0a772","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:35:37.981997Z","signature_b64":"lvO4zJYsOrtD6e/AJTdvFjqlfxGYchKHzj4GWsJNuB7J/xZZIZ1RJlQr3ORKehIwkjSaOdVcFPhUYy3TsKgPBw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"b07c45bc0ca515f9457cdef56f3b0d6e336f35a5c2beec26d790c10851a0a772","last_reissued_at":"2026-05-18T01:35:37.981253Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:35:37.981253Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1507.02945","source_version":3,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T01:35:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yDg2yGFob43N/CrTyk+QJsuCmwjOgadfo8lBy5SOTgSMKTJ347YXL8n3RCq69EzqJP40y1tHxvG4iIq4hRuRDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T11:03:06.955656Z"},"content_sha256":"20e98ba76d1a672c662ce60147f8a4cba738628582a18993890ec145efb5d1c3","schema_version":"1.0","event_id":"sha256:20e98ba76d1a672c662ce60147f8a4cba738628582a18993890ec145efb5d1c3"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2015:WB6ELPAMUUK7SRL4332W6OYNNY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Wormholes admitting conformal Killing vectors and supported by generalized Chaplygin gas","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"Peter K.F. Kuhfittig","submitted_at":"2015-07-10T15:48:31Z","abstract_excerpt":"When Morris and Thorne first proposed that traversable wormholes may be actual physical objects, they concentrated on the geometry by specifying the shape and redshift functions. This mathematical approach necessarily raises questins regarding the determination of the required stress-energy tensor. This paper discusses a natural way to obtain a complete wormhole solution by assuming that the wormhole (1) is supported by generalized Chaplygin gas and (2) admits conformal Killing vectors."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.02945","kind":"arxiv","version":3},"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":"2026-05-18T01:35:37Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"xUsKZF3viVem7uIffqKukau8G0QmLkNwDbPgVEzrnkU2r5m1kpHFJE0J3fIpfAa0h7BEcr2TrgmaYIqdhiaNBg==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-26T11:03:06.956020Z"},"content_sha256":"4b881d892dafad19838a6080ab4917628b7d7f58434a71a5fcb331f3cb1df195","schema_version":"1.0","event_id":"sha256:4b881d892dafad19838a6080ab4917628b7d7f58434a71a5fcb331f3cb1df195"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/WB6ELPAMUUK7SRL4332W6OYNNY/bundle.json","state_url":"https://pith.science/pith/WB6ELPAMUUK7SRL4332W6OYNNY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/WB6ELPAMUUK7SRL4332W6OYNNY/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":"2026-06-26T11:03:06Z","links":{"resolver":"https://pith.science/pith/WB6ELPAMUUK7SRL4332W6OYNNY","bundle":"https://pith.science/pith/WB6ELPAMUUK7SRL4332W6OYNNY/bundle.json","state":"https://pith.science/pith/WB6ELPAMUUK7SRL4332W6OYNNY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/WB6ELPAMUUK7SRL4332W6OYNNY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2015:WB6ELPAMUUK7SRL4332W6OYNNY","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":"24707d30bb7a6ae866aff5af3b07a46e93d58367ffea6fbeeef82e8689e4a141","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-07-10T15:48:31Z","title_canon_sha256":"f134d8add441cb58f0a84ebe4a230c4d14dae47e47714d57d4a1ca5780407e79"},"schema_version":"1.0","source":{"id":"1507.02945","kind":"arxiv","version":3}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1507.02945","created_at":"2026-05-18T01:35:37Z"},{"alias_kind":"arxiv_version","alias_value":"1507.02945v3","created_at":"2026-05-18T01:35:37Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1507.02945","created_at":"2026-05-18T01:35:37Z"},{"alias_kind":"pith_short_12","alias_value":"WB6ELPAMUUK7","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_16","alias_value":"WB6ELPAMUUK7SRL4","created_at":"2026-05-18T12:29:47Z"},{"alias_kind":"pith_short_8","alias_value":"WB6ELPAM","created_at":"2026-05-18T12:29:47Z"}],"graph_snapshots":[{"event_id":"sha256:4b881d892dafad19838a6080ab4917628b7d7f58434a71a5fcb331f3cb1df195","target":"graph","created_at":"2026-05-18T01:35:37Z","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":"When Morris and Thorne first proposed that traversable wormholes may be actual physical objects, they concentrated on the geometry by specifying the shape and redshift functions. This mathematical approach necessarily raises questins regarding the determination of the required stress-energy tensor. This paper discusses a natural way to obtain a complete wormhole solution by assuming that the wormhole (1) is supported by generalized Chaplygin gas and (2) admits conformal Killing vectors.","authors_text":"Peter K.F. Kuhfittig","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-07-10T15:48:31Z","title":"Wormholes admitting conformal Killing vectors and supported by generalized Chaplygin gas"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.02945","kind":"arxiv","version":3},"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":"sha256:20e98ba76d1a672c662ce60147f8a4cba738628582a18993890ec145efb5d1c3","target":"record","created_at":"2026-05-18T01:35:37Z","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":"24707d30bb7a6ae866aff5af3b07a46e93d58367ffea6fbeeef82e8689e4a141","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2015-07-10T15:48:31Z","title_canon_sha256":"f134d8add441cb58f0a84ebe4a230c4d14dae47e47714d57d4a1ca5780407e79"},"schema_version":"1.0","source":{"id":"1507.02945","kind":"arxiv","version":3}},"canonical_sha256":"b07c45bc0ca515f9457cdef56f3b0d6e336f35a5c2beec26d790c10851a0a772","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"b07c45bc0ca515f9457cdef56f3b0d6e336f35a5c2beec26d790c10851a0a772","first_computed_at":"2026-05-18T01:35:37.981253Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:35:37.981253Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"lvO4zJYsOrtD6e/AJTdvFjqlfxGYchKHzj4GWsJNuB7J/xZZIZ1RJlQr3ORKehIwkjSaOdVcFPhUYy3TsKgPBw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:35:37.981997Z","signed_message":"canonical_sha256_bytes"},"source_id":"1507.02945","source_kind":"arxiv","source_version":3}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:20e98ba76d1a672c662ce60147f8a4cba738628582a18993890ec145efb5d1c3","sha256:4b881d892dafad19838a6080ab4917628b7d7f58434a71a5fcb331f3cb1df195"],"state_sha256":"b9cc6ed63826045f40c75195edf1a5d09c05fd05b11efc17fa92f609999d7435"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"zskT+raWzeq8kUW1gOCaJVP49cusPF97PPLbUbAgw/75LZj4+4gqMPYq+O9uXK/G+M6wbWGKywRAn4sDSKfCBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-26T11:03:06.957999Z","bundle_sha256":"1a7f505be9e3a2ccee03f94c82ee31b0d14cf3049994ce26d472d49f336d4370"}}