{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:OE55AGAFSYGHK6RWLQQ73TCVE7","short_pith_number":"pith:OE55AGAF","canonical_record":{"source":{"id":"2404.17846","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-04-27T09:48:34Z","cross_cats_sorted":[],"title_canon_sha256":"24f4d8e8b1fdd22a7395735f0273a0b0da6cc719beb3286ca208a0bf42551ea3","abstract_canon_sha256":"0a116fb9b15551bf3def889638cd63823ea1f83d528d65aec6a24845431e1959"},"schema_version":"1.0"},"canonical_sha256":"713bd01805960c757a365c21fdcc5527c2e4b049ac6172ddd37b5e514e374711","source":{"kind":"arxiv","id":"2404.17846","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.17846","created_at":"2026-07-05T08:12:55Z"},{"alias_kind":"arxiv_version","alias_value":"2404.17846v1","created_at":"2026-07-05T08:12:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.17846","created_at":"2026-07-05T08:12:55Z"},{"alias_kind":"pith_short_12","alias_value":"OE55AGAFSYGH","created_at":"2026-07-05T08:12:55Z"},{"alias_kind":"pith_short_16","alias_value":"OE55AGAFSYGHK6RW","created_at":"2026-07-05T08:12:55Z"},{"alias_kind":"pith_short_8","alias_value":"OE55AGAF","created_at":"2026-07-05T08:12:55Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:OE55AGAFSYGHK6RWLQQ73TCVE7","target":"record","payload":{"canonical_record":{"source":{"id":"2404.17846","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-04-27T09:48:34Z","cross_cats_sorted":[],"title_canon_sha256":"24f4d8e8b1fdd22a7395735f0273a0b0da6cc719beb3286ca208a0bf42551ea3","abstract_canon_sha256":"0a116fb9b15551bf3def889638cd63823ea1f83d528d65aec6a24845431e1959"},"schema_version":"1.0"},"canonical_sha256":"713bd01805960c757a365c21fdcc5527c2e4b049ac6172ddd37b5e514e374711","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T08:12:55.006476Z","signature_b64":"Bk6+Lq2PQ9sql0DxvoMF0QuSS8R2SFDeFIKDrN3/WoFKcdrhI+U8Q20ZVhMdS6KVAw8EJ5Z0th0Fv7mAYVQOCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"713bd01805960c757a365c21fdcc5527c2e4b049ac6172ddd37b5e514e374711","last_reissued_at":"2026-07-05T08:12:55.005881Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T08:12:55.005881Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2404.17846","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":"2026-07-05T08:12:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"UY0NTGsSPZd1a8g7oVVENaRnhIMDPSnqpcyu9J6pblgLE6e+TNswkl1TNEBxt8V2QMyYuHeLiwR/dVZRd0eMBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T04:02:21.387066Z"},"content_sha256":"73dbbd5ef5c9d718c0cb9a818d69070d4351ee0a6c59a8a76f037c1f7f654b2a","schema_version":"1.0","event_id":"sha256:73dbbd5ef5c9d718c0cb9a818d69070d4351ee0a6c59a8a76f037c1f7f654b2a"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:OE55AGAFSYGHK6RWLQQ73TCVE7","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Spherically Symmetric Wormhole Solutions admitting Karmarkar Condition","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"gr-qc","authors_text":"M. Sharif, M. Zeeshan Gul","submitted_at":"2024-04-27T09:48:34Z","abstract_excerpt":"This paper investigated the viable traversable wormhole solutions through Karmarkar condition in the context of $f(\\mathcal{G},T)$ theory. A static spherical spacetime with anisotropic matter configuration is used to study the wormhole geometry. Karmarkar condition is used to develop a viable shape function for a static wormhole structure. A wormhole geometry is constructed using the resulting shape function that satisfies all the required conditions and connects the asymptotically flat regions of the spacetime. To assess the viability of traversable wormhole geometries, the energy conditions "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.17846","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":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2404.17846/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"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":"2026-07-05T08:12:55Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"882qVDpuPndvJIwGPoVSbsJI1WwpScgS7s1FNGQ65b4Rw8Ar+faHzI7OUQ52JsHg+WyAoHVzB4cUV+GCJ5kEBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T04:02:21.387474Z"},"content_sha256":"c0aabb990425fc2c9a9ddfa74f0d353f32557eff238573d7ac7629d9e045d17e","schema_version":"1.0","event_id":"sha256:c0aabb990425fc2c9a9ddfa74f0d353f32557eff238573d7ac7629d9e045d17e"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/OE55AGAFSYGHK6RWLQQ73TCVE7/bundle.json","state_url":"https://pith.science/pith/OE55AGAFSYGHK6RWLQQ73TCVE7/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/OE55AGAFSYGHK6RWLQQ73TCVE7/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":"2026-08-05T04:02:21Z","links":{"resolver":"https://pith.science/pith/OE55AGAFSYGHK6RWLQQ73TCVE7","bundle":"https://pith.science/pith/OE55AGAFSYGHK6RWLQQ73TCVE7/bundle.json","state":"https://pith.science/pith/OE55AGAFSYGHK6RWLQQ73TCVE7/state.json","well_known_bundle":"https://pith.science/.well-known/pith/OE55AGAFSYGHK6RWLQQ73TCVE7/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:OE55AGAFSYGHK6RWLQQ73TCVE7","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":"0a116fb9b15551bf3def889638cd63823ea1f83d528d65aec6a24845431e1959","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-04-27T09:48:34Z","title_canon_sha256":"24f4d8e8b1fdd22a7395735f0273a0b0da6cc719beb3286ca208a0bf42551ea3"},"schema_version":"1.0","source":{"id":"2404.17846","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2404.17846","created_at":"2026-07-05T08:12:55Z"},{"alias_kind":"arxiv_version","alias_value":"2404.17846v1","created_at":"2026-07-05T08:12:55Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2404.17846","created_at":"2026-07-05T08:12:55Z"},{"alias_kind":"pith_short_12","alias_value":"OE55AGAFSYGH","created_at":"2026-07-05T08:12:55Z"},{"alias_kind":"pith_short_16","alias_value":"OE55AGAFSYGHK6RW","created_at":"2026-07-05T08:12:55Z"},{"alias_kind":"pith_short_8","alias_value":"OE55AGAF","created_at":"2026-07-05T08:12:55Z"}],"graph_snapshots":[{"event_id":"sha256:c0aabb990425fc2c9a9ddfa74f0d353f32557eff238573d7ac7629d9e045d17e","target":"graph","created_at":"2026-07-05T08:12:55Z","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"},"integrity":{"available":true,"clean":true,"detectors_run":[],"endpoint":"/pith/2404.17846/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"This paper investigated the viable traversable wormhole solutions through Karmarkar condition in the context of $f(\\mathcal{G},T)$ theory. A static spherical spacetime with anisotropic matter configuration is used to study the wormhole geometry. Karmarkar condition is used to develop a viable shape function for a static wormhole structure. A wormhole geometry is constructed using the resulting shape function that satisfies all the required conditions and connects the asymptotically flat regions of the spacetime. To assess the viability of traversable wormhole geometries, the energy conditions ","authors_text":"M. Sharif, M. Zeeshan Gul","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-04-27T09:48:34Z","title":"Spherically Symmetric Wormhole Solutions admitting Karmarkar Condition"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2404.17846","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":"sha256:73dbbd5ef5c9d718c0cb9a818d69070d4351ee0a6c59a8a76f037c1f7f654b2a","target":"record","created_at":"2026-07-05T08:12:55Z","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":"0a116fb9b15551bf3def889638cd63823ea1f83d528d65aec6a24845431e1959","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2024-04-27T09:48:34Z","title_canon_sha256":"24f4d8e8b1fdd22a7395735f0273a0b0da6cc719beb3286ca208a0bf42551ea3"},"schema_version":"1.0","source":{"id":"2404.17846","kind":"arxiv","version":1}},"canonical_sha256":"713bd01805960c757a365c21fdcc5527c2e4b049ac6172ddd37b5e514e374711","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"713bd01805960c757a365c21fdcc5527c2e4b049ac6172ddd37b5e514e374711","first_computed_at":"2026-07-05T08:12:55.005881Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T08:12:55.005881Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"Bk6+Lq2PQ9sql0DxvoMF0QuSS8R2SFDeFIKDrN3/WoFKcdrhI+U8Q20ZVhMdS6KVAw8EJ5Z0th0Fv7mAYVQOCQ==","signature_status":"signed_v1","signed_at":"2026-07-05T08:12:55.006476Z","signed_message":"canonical_sha256_bytes"},"source_id":"2404.17846","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:73dbbd5ef5c9d718c0cb9a818d69070d4351ee0a6c59a8a76f037c1f7f654b2a","sha256:c0aabb990425fc2c9a9ddfa74f0d353f32557eff238573d7ac7629d9e045d17e"],"state_sha256":"c38bfc78ba7acae38db01c7d849262d8be107a9a830fca02fff8ab4f372e5be8"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"6XBZdM/rIkhKqDKseE2NwBArvFud+EyHj2gPcLc9a5D+ncWkd1GUOrDUEPIE39Gy7kIXeiU7PjsqNl/HLvHhBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T04:02:21.390004Z","bundle_sha256":"df92ea48aa6ebd2eae29157e0363c92daea7627dd070e99538cb6dbe175e3eb4"}}