{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2019:IZ6RLZAYFTNZV6F6UFAUGGVM4N","short_pith_number":"pith:IZ6RLZAY","canonical_record":{"source":{"id":"1905.08875","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2019-05-21T21:16:13Z","cross_cats_sorted":["cond-mat.stat-mech","physics.soc-ph"],"title_canon_sha256":"1ac6c8d8ae2f2111338386793448dd75378c6142e35b19b4a4480087a5c2d589","abstract_canon_sha256":"3f6e92f81bc18e2c431714683dc2d9b8c379337a18caaa9d400f6c2b4e6c3060"},"schema_version":"1.0"},"canonical_sha256":"467d15e4182cdb9af8bea141431aace3512b31cb92e812a4360cdf2e9927f6cf","source":{"kind":"arxiv","id":"1905.08875","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.08875","created_at":"2026-07-04T23:58:27Z"},{"alias_kind":"arxiv_version","alias_value":"1905.08875v2","created_at":"2026-07-04T23:58:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.08875","created_at":"2026-07-04T23:58:27Z"},{"alias_kind":"pith_short_12","alias_value":"IZ6RLZAYFTNZ","created_at":"2026-07-04T23:58:27Z"},{"alias_kind":"pith_short_16","alias_value":"IZ6RLZAYFTNZV6F6","created_at":"2026-07-04T23:58:27Z"},{"alias_kind":"pith_short_8","alias_value":"IZ6RLZAY","created_at":"2026-07-04T23:58:27Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2019:IZ6RLZAYFTNZV6F6UFAUGGVM4N","target":"record","payload":{"canonical_record":{"source":{"id":"1905.08875","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2019-05-21T21:16:13Z","cross_cats_sorted":["cond-mat.stat-mech","physics.soc-ph"],"title_canon_sha256":"1ac6c8d8ae2f2111338386793448dd75378c6142e35b19b4a4480087a5c2d589","abstract_canon_sha256":"3f6e92f81bc18e2c431714683dc2d9b8c379337a18caaa9d400f6c2b4e6c3060"},"schema_version":"1.0"},"canonical_sha256":"467d15e4182cdb9af8bea141431aace3512b31cb92e812a4360cdf2e9927f6cf","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-04T23:58:27.016729Z","signature_b64":"9+3JJBUMCyvS2tRF6W0hJVvk1qz446NF0bXI4RXGwkFXQJm0s+cGnzxDsV4jiIQroklA7xe/cjI77AeQqktMCw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"467d15e4182cdb9af8bea141431aace3512b31cb92e812a4360cdf2e9927f6cf","last_reissued_at":"2026-07-04T23:58:27.016304Z","signature_status":"signed_v1","first_computed_at":"2026-07-04T23:58:27.016304Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1905.08875","source_version":2,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-07-04T23:58:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"rRTFCYrjcNX2IZ3sQeHHsvQFmuhJg8XE194oMQmiw2cXA6qw+ncR5hVzoV474c/R4xPQ7VTnu930SgR4phmoBQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T12:22:26.056340Z"},"content_sha256":"e807e5fe28ad508c48dc95b4d082cbc113a8c9b988ece5efa432deca8eb19fea","schema_version":"1.0","event_id":"sha256:e807e5fe28ad508c48dc95b4d082cbc113a8c9b988ece5efa432deca8eb19fea"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2019:IZ6RLZAYFTNZV6F6UFAUGGVM4N","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Renormalization group for link percolation on planar hyperbolic manifolds","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["cond-mat.stat-mech","physics.soc-ph"],"primary_cat":"cond-mat.dis-nn","authors_text":"Ginestra Bianconi, Ivan Kryven, Robert M. Ziff","submitted_at":"2019-05-21T21:16:13Z","abstract_excerpt":"Network geometry is currently a topic of growing scientific interest as it opens the possibility to explore and interpret the interplay between structure and dynamics of complex networks using geometrical arguments. However the field is still in its infancy. In this work we investigate the role of network geometry in determining the nature of the percolation transition in planar hyperbolic manifolds. In Ref. [1], S. Boettcher, V. Singh, R. M. Ziff have shown that a special type of two-dimensional hyperbolic manifolds, the Farey graphs, display a discontinuous transition for ordinary link perco"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.08875","kind":"arxiv","version":2},"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/1905.08875/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":"2026-07-04T23:58:27Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"vT6OVpNh4OlVqi1mj3V4ekFmfMKr5V3vk2WuvZT0mV4kX2kDLyu28t5Cp91mun9YQwCbqRRybzTy4ewP2nkGAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T12:22:26.056862Z"},"content_sha256":"a14165a726f486eea3949cd86037beadc2ba25f1c61ee90456d827730266df17","schema_version":"1.0","event_id":"sha256:a14165a726f486eea3949cd86037beadc2ba25f1c61ee90456d827730266df17"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/IZ6RLZAYFTNZV6F6UFAUGGVM4N/bundle.json","state_url":"https://pith.science/pith/IZ6RLZAYFTNZV6F6UFAUGGVM4N/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/IZ6RLZAYFTNZV6F6UFAUGGVM4N/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":"2026-08-22T12:22:26Z","links":{"resolver":"https://pith.science/pith/IZ6RLZAYFTNZV6F6UFAUGGVM4N","bundle":"https://pith.science/pith/IZ6RLZAYFTNZV6F6UFAUGGVM4N/bundle.json","state":"https://pith.science/pith/IZ6RLZAYFTNZV6F6UFAUGGVM4N/state.json","well_known_bundle":"https://pith.science/.well-known/pith/IZ6RLZAYFTNZV6F6UFAUGGVM4N/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2019:IZ6RLZAYFTNZV6F6UFAUGGVM4N","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":"3f6e92f81bc18e2c431714683dc2d9b8c379337a18caaa9d400f6c2b4e6c3060","cross_cats_sorted":["cond-mat.stat-mech","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2019-05-21T21:16:13Z","title_canon_sha256":"1ac6c8d8ae2f2111338386793448dd75378c6142e35b19b4a4480087a5c2d589"},"schema_version":"1.0","source":{"id":"1905.08875","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1905.08875","created_at":"2026-07-04T23:58:27Z"},{"alias_kind":"arxiv_version","alias_value":"1905.08875v2","created_at":"2026-07-04T23:58:27Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1905.08875","created_at":"2026-07-04T23:58:27Z"},{"alias_kind":"pith_short_12","alias_value":"IZ6RLZAYFTNZ","created_at":"2026-07-04T23:58:27Z"},{"alias_kind":"pith_short_16","alias_value":"IZ6RLZAYFTNZV6F6","created_at":"2026-07-04T23:58:27Z"},{"alias_kind":"pith_short_8","alias_value":"IZ6RLZAY","created_at":"2026-07-04T23:58:27Z"}],"graph_snapshots":[{"event_id":"sha256:a14165a726f486eea3949cd86037beadc2ba25f1c61ee90456d827730266df17","target":"graph","created_at":"2026-07-04T23:58:27Z","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/1905.08875/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"Network geometry is currently a topic of growing scientific interest as it opens the possibility to explore and interpret the interplay between structure and dynamics of complex networks using geometrical arguments. However the field is still in its infancy. In this work we investigate the role of network geometry in determining the nature of the percolation transition in planar hyperbolic manifolds. In Ref. [1], S. Boettcher, V. Singh, R. M. Ziff have shown that a special type of two-dimensional hyperbolic manifolds, the Farey graphs, display a discontinuous transition for ordinary link perco","authors_text":"Ginestra Bianconi, Ivan Kryven, Robert M. Ziff","cross_cats":["cond-mat.stat-mech","physics.soc-ph"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2019-05-21T21:16:13Z","title":"Renormalization group for link percolation on planar hyperbolic manifolds"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1905.08875","kind":"arxiv","version":2},"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:e807e5fe28ad508c48dc95b4d082cbc113a8c9b988ece5efa432deca8eb19fea","target":"record","created_at":"2026-07-04T23:58:27Z","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":"3f6e92f81bc18e2c431714683dc2d9b8c379337a18caaa9d400f6c2b4e6c3060","cross_cats_sorted":["cond-mat.stat-mech","physics.soc-ph"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2019-05-21T21:16:13Z","title_canon_sha256":"1ac6c8d8ae2f2111338386793448dd75378c6142e35b19b4a4480087a5c2d589"},"schema_version":"1.0","source":{"id":"1905.08875","kind":"arxiv","version":2}},"canonical_sha256":"467d15e4182cdb9af8bea141431aace3512b31cb92e812a4360cdf2e9927f6cf","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"467d15e4182cdb9af8bea141431aace3512b31cb92e812a4360cdf2e9927f6cf","first_computed_at":"2026-07-04T23:58:27.016304Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-04T23:58:27.016304Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"9+3JJBUMCyvS2tRF6W0hJVvk1qz446NF0bXI4RXGwkFXQJm0s+cGnzxDsV4jiIQroklA7xe/cjI77AeQqktMCw==","signature_status":"signed_v1","signed_at":"2026-07-04T23:58:27.016729Z","signed_message":"canonical_sha256_bytes"},"source_id":"1905.08875","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:e807e5fe28ad508c48dc95b4d082cbc113a8c9b988ece5efa432deca8eb19fea","sha256:a14165a726f486eea3949cd86037beadc2ba25f1c61ee90456d827730266df17"],"state_sha256":"61f8ad96683a41d36f3fed709122bf3925e8693e694aba102755a14abe699be6"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"QDGmExezOIXZIOwgpGmbzEkiCCSFZax3rKiyA4L4ry/N7gqi2sHEduv5D2yoSW0SwMDwlzcSgOeuyp+IB3YPDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T12:22:26.060727Z","bundle_sha256":"481e4244b915f704aeb3274119d7f462b62c6ce60342eaa011185fca1bbdf899"}}