{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:VRCCFUNQKHVIDAPMOZIZCG5UMU","short_pith_number":"pith:VRCCFUNQ","canonical_record":{"source":{"id":"2005.05934","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2020-05-12T17:25:44Z","cross_cats_sorted":[],"title_canon_sha256":"4761c1bde4faf90a30d33c998a612b8a01b5016cd2ce2eabd1bce387fbde3588","abstract_canon_sha256":"ac7fb26770439e5e34671036d2b6a28e742deb61b889a3a71a7f6936b5e990c7"},"schema_version":"1.0"},"canonical_sha256":"ac4422d1b051ea8181ec7651911bb4650e06eac03b9d5b0a33e3895ab7a7f246","source":{"kind":"arxiv","id":"2005.05934","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2005.05934","created_at":"2026-07-05T01:02:25Z"},{"alias_kind":"arxiv_version","alias_value":"2005.05934v1","created_at":"2026-07-05T01:02:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2005.05934","created_at":"2026-07-05T01:02:25Z"},{"alias_kind":"pith_short_12","alias_value":"VRCCFUNQKHVI","created_at":"2026-07-05T01:02:25Z"},{"alias_kind":"pith_short_16","alias_value":"VRCCFUNQKHVIDAPM","created_at":"2026-07-05T01:02:25Z"},{"alias_kind":"pith_short_8","alias_value":"VRCCFUNQ","created_at":"2026-07-05T01:02:25Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:VRCCFUNQKHVIDAPMOZIZCG5UMU","target":"record","payload":{"canonical_record":{"source":{"id":"2005.05934","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2020-05-12T17:25:44Z","cross_cats_sorted":[],"title_canon_sha256":"4761c1bde4faf90a30d33c998a612b8a01b5016cd2ce2eabd1bce387fbde3588","abstract_canon_sha256":"ac7fb26770439e5e34671036d2b6a28e742deb61b889a3a71a7f6936b5e990c7"},"schema_version":"1.0"},"canonical_sha256":"ac4422d1b051ea8181ec7651911bb4650e06eac03b9d5b0a33e3895ab7a7f246","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:02:25.022124Z","signature_b64":"IIHcTflXdIgB4t6RgpL4o/Rs5a/llfQXln3jwd8DdifKHkgIc+TCqCwve0OZsqHYNSgOY4y1f0i2k4x+SEdzBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"ac4422d1b051ea8181ec7651911bb4650e06eac03b9d5b0a33e3895ab7a7f246","last_reissued_at":"2026-07-05T01:02:25.021760Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:02:25.021760Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2005.05934","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":"2026-07-05T01:02:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rO/cFGJsfAlGMBhqpjSZ8Go0rURE9dH/0fTUN7w634SfzlnJ+6aLKF5RPXrYhb6Vek07TYbbJhRJaznKbyI2BQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T14:12:21.163883Z"},"content_sha256":"f5b52e53e96a29f53b492a05577479f050d4c07f508bded3baf71eb7c431bd78","schema_version":"1.0","event_id":"sha256:f5b52e53e96a29f53b492a05577479f050d4c07f508bded3baf71eb7c431bd78"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:VRCCFUNQKHVIDAPMOZIZCG5UMU","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"The Hierarchy of Hyperlogics","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LO","authors_text":"Bernd Finkbeiner, Christopher Hahn, Jana Hofmann, Norine Coenen","submitted_at":"2020-05-12T17:25:44Z","abstract_excerpt":"Hyperproperties, which generalize trace properties by relating multiple traces, are widely studied in information-flow security. Recently, a number of logics for hyperproperties have been proposed, and there is a need to understand their decidability and relative expressiveness. The new logics have been obtained from standard logics with two principal extensions: temporal logics, like LTL and CTL$^*$, have been generalized to hyperproperties by adding variables for traces or paths. First-order and second-order logics, like monadic first-order logic of order and MSO, have been extended with the"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2005.05934","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/2005.05934/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":"2026-07-05T01:02:25Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wwz8a6Mm7cJNFBc9i/z+xHtbgHDeg37qx+nF2P0FuVwl3/2HT+qEEiYP04Mk4q2hTHU1deV4MAAUEBV7ikqpBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-07-05T14:12:21.164493Z"},"content_sha256":"2c590714df271ae8d780926341e7c42f230b5b409348007ca7efe9ed8ebed168","schema_version":"1.0","event_id":"sha256:2c590714df271ae8d780926341e7c42f230b5b409348007ca7efe9ed8ebed168"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VRCCFUNQKHVIDAPMOZIZCG5UMU/bundle.json","state_url":"https://pith.science/pith/VRCCFUNQKHVIDAPMOZIZCG5UMU/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VRCCFUNQKHVIDAPMOZIZCG5UMU/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":"2026-07-05T14:12:21Z","links":{"resolver":"https://pith.science/pith/VRCCFUNQKHVIDAPMOZIZCG5UMU","bundle":"https://pith.science/pith/VRCCFUNQKHVIDAPMOZIZCG5UMU/bundle.json","state":"https://pith.science/pith/VRCCFUNQKHVIDAPMOZIZCG5UMU/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VRCCFUNQKHVIDAPMOZIZCG5UMU/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:VRCCFUNQKHVIDAPMOZIZCG5UMU","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":"ac7fb26770439e5e34671036d2b6a28e742deb61b889a3a71a7f6936b5e990c7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2020-05-12T17:25:44Z","title_canon_sha256":"4761c1bde4faf90a30d33c998a612b8a01b5016cd2ce2eabd1bce387fbde3588"},"schema_version":"1.0","source":{"id":"2005.05934","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2005.05934","created_at":"2026-07-05T01:02:25Z"},{"alias_kind":"arxiv_version","alias_value":"2005.05934v1","created_at":"2026-07-05T01:02:25Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2005.05934","created_at":"2026-07-05T01:02:25Z"},{"alias_kind":"pith_short_12","alias_value":"VRCCFUNQKHVI","created_at":"2026-07-05T01:02:25Z"},{"alias_kind":"pith_short_16","alias_value":"VRCCFUNQKHVIDAPM","created_at":"2026-07-05T01:02:25Z"},{"alias_kind":"pith_short_8","alias_value":"VRCCFUNQ","created_at":"2026-07-05T01:02:25Z"}],"graph_snapshots":[{"event_id":"sha256:2c590714df271ae8d780926341e7c42f230b5b409348007ca7efe9ed8ebed168","target":"graph","created_at":"2026-07-05T01:02:25Z","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/2005.05934/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Hyperproperties, which generalize trace properties by relating multiple traces, are widely studied in information-flow security. Recently, a number of logics for hyperproperties have been proposed, and there is a need to understand their decidability and relative expressiveness. The new logics have been obtained from standard logics with two principal extensions: temporal logics, like LTL and CTL$^*$, have been generalized to hyperproperties by adding variables for traces or paths. First-order and second-order logics, like monadic first-order logic of order and MSO, have been extended with the","authors_text":"Bernd Finkbeiner, Christopher Hahn, Jana Hofmann, Norine Coenen","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2020-05-12T17:25:44Z","title":"The Hierarchy of Hyperlogics"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2005.05934","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:f5b52e53e96a29f53b492a05577479f050d4c07f508bded3baf71eb7c431bd78","target":"record","created_at":"2026-07-05T01:02:25Z","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":"ac7fb26770439e5e34671036d2b6a28e742deb61b889a3a71a7f6936b5e990c7","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LO","submitted_at":"2020-05-12T17:25:44Z","title_canon_sha256":"4761c1bde4faf90a30d33c998a612b8a01b5016cd2ce2eabd1bce387fbde3588"},"schema_version":"1.0","source":{"id":"2005.05934","kind":"arxiv","version":1}},"canonical_sha256":"ac4422d1b051ea8181ec7651911bb4650e06eac03b9d5b0a33e3895ab7a7f246","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"ac4422d1b051ea8181ec7651911bb4650e06eac03b9d5b0a33e3895ab7a7f246","first_computed_at":"2026-07-05T01:02:25.021760Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:02:25.021760Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"IIHcTflXdIgB4t6RgpL4o/Rs5a/llfQXln3jwd8DdifKHkgIc+TCqCwve0OZsqHYNSgOY4y1f0i2k4x+SEdzBg==","signature_status":"signed_v1","signed_at":"2026-07-05T01:02:25.022124Z","signed_message":"canonical_sha256_bytes"},"source_id":"2005.05934","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:f5b52e53e96a29f53b492a05577479f050d4c07f508bded3baf71eb7c431bd78","sha256:2c590714df271ae8d780926341e7c42f230b5b409348007ca7efe9ed8ebed168"],"state_sha256":"00ca5bb51466e347954708121b5d5d92be74e514c5f82dc6e63ad18c46a6e21b"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"sH03706UEpqGfN9ZcaFVAPrEk6NSprZmcpKX3GSgfn7dyXMM38PPByjhgigU+Y6ixCSDUCSOM1HcRYKbCCmWAA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-07-05T14:12:21.167509Z","bundle_sha256":"d3151cfbe5efa0d60bbddd0f9dd18878c05bd011d5091e4b1c4d3d5b87592994"}}