{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:NQXMIPLCZFMIMS2ZGJVJYCNTPT","short_pith_number":"pith:NQXMIPLC","canonical_record":{"source":{"id":"2012.13908","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-12-27T10:39:45Z","cross_cats_sorted":["astro-ph.HE","hep-th"],"title_canon_sha256":"d1b59f44a9b92ee61a213499917a1887836a9afadfe9774fb9b0b71095c73a6f","abstract_canon_sha256":"aead7286aac29d0a17c4a94f23a0165ad750ebf6f247fc0ffe1cb8a48479a060"},"schema_version":"1.0"},"canonical_sha256":"6c2ec43d62c958864b59326a9c09b37cef2f13ca983a9eeb83e84a1b550b64f2","source":{"kind":"arxiv","id":"2012.13908","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2012.13908","created_at":"2026-07-05T02:02:13Z"},{"alias_kind":"arxiv_version","alias_value":"2012.13908v1","created_at":"2026-07-05T02:02:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.13908","created_at":"2026-07-05T02:02:13Z"},{"alias_kind":"pith_short_12","alias_value":"NQXMIPLCZFMI","created_at":"2026-07-05T02:02:13Z"},{"alias_kind":"pith_short_16","alias_value":"NQXMIPLCZFMIMS2Z","created_at":"2026-07-05T02:02:13Z"},{"alias_kind":"pith_short_8","alias_value":"NQXMIPLC","created_at":"2026-07-05T02:02:13Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:NQXMIPLCZFMIMS2ZGJVJYCNTPT","target":"record","payload":{"canonical_record":{"source":{"id":"2012.13908","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-12-27T10:39:45Z","cross_cats_sorted":["astro-ph.HE","hep-th"],"title_canon_sha256":"d1b59f44a9b92ee61a213499917a1887836a9afadfe9774fb9b0b71095c73a6f","abstract_canon_sha256":"aead7286aac29d0a17c4a94f23a0165ad750ebf6f247fc0ffe1cb8a48479a060"},"schema_version":"1.0"},"canonical_sha256":"6c2ec43d62c958864b59326a9c09b37cef2f13ca983a9eeb83e84a1b550b64f2","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T02:02:13.837484Z","signature_b64":"KQpu2MNe8v7xg+ZvlQGQ4f3tQTNlnfRqbyWGYjmx/t7FLv3T6hrmXvSmbthqFIe288Th1q4dnt161Jjl0ZQuBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"6c2ec43d62c958864b59326a9c09b37cef2f13ca983a9eeb83e84a1b550b64f2","last_reissued_at":"2026-07-05T02:02:13.837047Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T02:02:13.837047Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2012.13908","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":"2026-07-05T02:02:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"q2yEU6o59HLsIZUmfcbplBspuL9iAV4UWjsg9gso6XtCER2NdIt4r1Srt1g1DIQ6G7wOuD7yO1Zlm15wZLXAAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T01:05:14.587993Z"},"content_sha256":"117d86df2c1199b707d2fc6af271f19a6a0df09cccd9ed755975defa05691724","schema_version":"1.0","event_id":"sha256:117d86df2c1199b707d2fc6af271f19a6a0df09cccd9ed755975defa05691724"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:NQXMIPLCZFMIMS2ZGJVJYCNTPT","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Traversable wormholes with vanishing sound speed in $f(R)$ gravity","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["astro-ph.HE","hep-th"],"primary_cat":"gr-qc","authors_text":"Lorenza Mauro, Orlando Luongo, Salvatore Capozziello","submitted_at":"2020-12-27T10:39:45Z","abstract_excerpt":"We derive exact traversable wormhole solutions in the framework of $f(R)$ gravity with no exotic matter and with stable conditions over the geometric fluid entering the throat. For this purpose, we propose power-law $f(R)$ models and two possible approaches for the shape function $b(r)/r$. The first approach makes use of an inverse power law function, namely $b(r)/r\\sim r^{-1-\\beta}$. The second one adopts Pad\\'e approximants, used to characterize the shape function in a model-independent way. We single out the $P(0,1)$ approximant where the fluid perturbations are negligible within the throat"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.13908","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/2012.13908/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":"2026-07-05T02:02:13Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"YuePuoIkN88QPd4xYYhfEYeDJSG8FRmeQACFTR0kct5KcGcb5WriC1o/izPPOKcV3Xw3zCdnEj+pzxo4GJ1bBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-05T01:05:14.588938Z"},"content_sha256":"1fb068335e85f654cb1e0f97d01d42006f355fb7729307febcb12eb937b05bf2","schema_version":"1.0","event_id":"sha256:1fb068335e85f654cb1e0f97d01d42006f355fb7729307febcb12eb937b05bf2"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/NQXMIPLCZFMIMS2ZGJVJYCNTPT/bundle.json","state_url":"https://pith.science/pith/NQXMIPLCZFMIMS2ZGJVJYCNTPT/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/NQXMIPLCZFMIMS2ZGJVJYCNTPT/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":"2026-08-05T01:05:14Z","links":{"resolver":"https://pith.science/pith/NQXMIPLCZFMIMS2ZGJVJYCNTPT","bundle":"https://pith.science/pith/NQXMIPLCZFMIMS2ZGJVJYCNTPT/bundle.json","state":"https://pith.science/pith/NQXMIPLCZFMIMS2ZGJVJYCNTPT/state.json","well_known_bundle":"https://pith.science/.well-known/pith/NQXMIPLCZFMIMS2ZGJVJYCNTPT/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:NQXMIPLCZFMIMS2ZGJVJYCNTPT","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":"aead7286aac29d0a17c4a94f23a0165ad750ebf6f247fc0ffe1cb8a48479a060","cross_cats_sorted":["astro-ph.HE","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-12-27T10:39:45Z","title_canon_sha256":"d1b59f44a9b92ee61a213499917a1887836a9afadfe9774fb9b0b71095c73a6f"},"schema_version":"1.0","source":{"id":"2012.13908","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2012.13908","created_at":"2026-07-05T02:02:13Z"},{"alias_kind":"arxiv_version","alias_value":"2012.13908v1","created_at":"2026-07-05T02:02:13Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2012.13908","created_at":"2026-07-05T02:02:13Z"},{"alias_kind":"pith_short_12","alias_value":"NQXMIPLCZFMI","created_at":"2026-07-05T02:02:13Z"},{"alias_kind":"pith_short_16","alias_value":"NQXMIPLCZFMIMS2Z","created_at":"2026-07-05T02:02:13Z"},{"alias_kind":"pith_short_8","alias_value":"NQXMIPLC","created_at":"2026-07-05T02:02:13Z"}],"graph_snapshots":[{"event_id":"sha256:1fb068335e85f654cb1e0f97d01d42006f355fb7729307febcb12eb937b05bf2","target":"graph","created_at":"2026-07-05T02:02:13Z","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/2012.13908/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We derive exact traversable wormhole solutions in the framework of $f(R)$ gravity with no exotic matter and with stable conditions over the geometric fluid entering the throat. For this purpose, we propose power-law $f(R)$ models and two possible approaches for the shape function $b(r)/r$. The first approach makes use of an inverse power law function, namely $b(r)/r\\sim r^{-1-\\beta}$. The second one adopts Pad\\'e approximants, used to characterize the shape function in a model-independent way. We single out the $P(0,1)$ approximant where the fluid perturbations are negligible within the throat","authors_text":"Lorenza Mauro, Orlando Luongo, Salvatore Capozziello","cross_cats":["astro-ph.HE","hep-th"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-12-27T10:39:45Z","title":"Traversable wormholes with vanishing sound speed in $f(R)$ gravity"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2012.13908","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":"sha256:117d86df2c1199b707d2fc6af271f19a6a0df09cccd9ed755975defa05691724","target":"record","created_at":"2026-07-05T02:02:13Z","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":"aead7286aac29d0a17c4a94f23a0165ad750ebf6f247fc0ffe1cb8a48479a060","cross_cats_sorted":["astro-ph.HE","hep-th"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"gr-qc","submitted_at":"2020-12-27T10:39:45Z","title_canon_sha256":"d1b59f44a9b92ee61a213499917a1887836a9afadfe9774fb9b0b71095c73a6f"},"schema_version":"1.0","source":{"id":"2012.13908","kind":"arxiv","version":1}},"canonical_sha256":"6c2ec43d62c958864b59326a9c09b37cef2f13ca983a9eeb83e84a1b550b64f2","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"6c2ec43d62c958864b59326a9c09b37cef2f13ca983a9eeb83e84a1b550b64f2","first_computed_at":"2026-07-05T02:02:13.837047Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T02:02:13.837047Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"KQpu2MNe8v7xg+ZvlQGQ4f3tQTNlnfRqbyWGYjmx/t7FLv3T6hrmXvSmbthqFIe288Th1q4dnt161Jjl0ZQuBg==","signature_status":"signed_v1","signed_at":"2026-07-05T02:02:13.837484Z","signed_message":"canonical_sha256_bytes"},"source_id":"2012.13908","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:117d86df2c1199b707d2fc6af271f19a6a0df09cccd9ed755975defa05691724","sha256:1fb068335e85f654cb1e0f97d01d42006f355fb7729307febcb12eb937b05bf2"],"state_sha256":"8f9d914d625f5c12979a277995749139f025be61bf887e9f1e3fdfb4aac25a34"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"ZI27fnxIfhhbNwhXU3wwX1XSToWUzwVKBfAN0s5R2BJJRPR3dcidfqySR86Py2yn61pm0qyCb/gjTS8kbyBXAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-05T01:05:14.595407Z","bundle_sha256":"c1112df94889e5c08c74b5c2501fd1095dfe68f5ab28c64a8902258dd5c666e3"}}