{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:B7UDQ5ZNSJ5UPQIFP6HOCSTD7F","short_pith_number":"pith:B7UDQ5ZN","canonical_record":{"source":{"id":"1407.4295","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-07-16T13:17:00Z","cross_cats_sorted":[],"title_canon_sha256":"ce044e01b58aac5d61388f05baf9748d111050d91772dea7a7defc711657020a","abstract_canon_sha256":"bc744f251526182e696b9cf2070d482df4bc6bbf3a6526e5e57c6f81e715bdf9"},"schema_version":"1.0"},"canonical_sha256":"0fe838772d927b47c1057f8ee14a63f95b40833ee02c8a5e542a96f0678d75e5","source":{"kind":"arxiv","id":"1407.4295","version":2},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.4295","created_at":"2026-05-18T01:04:33Z"},{"alias_kind":"arxiv_version","alias_value":"1407.4295v2","created_at":"2026-05-18T01:04:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.4295","created_at":"2026-05-18T01:04:33Z"},{"alias_kind":"pith_short_12","alias_value":"B7UDQ5ZNSJ5U","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"B7UDQ5ZNSJ5UPQIF","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"B7UDQ5ZN","created_at":"2026-05-18T12:28:22Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:B7UDQ5ZNSJ5UPQIFP6HOCSTD7F","target":"record","payload":{"canonical_record":{"source":{"id":"1407.4295","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-07-16T13:17:00Z","cross_cats_sorted":[],"title_canon_sha256":"ce044e01b58aac5d61388f05baf9748d111050d91772dea7a7defc711657020a","abstract_canon_sha256":"bc744f251526182e696b9cf2070d482df4bc6bbf3a6526e5e57c6f81e715bdf9"},"schema_version":"1.0"},"canonical_sha256":"0fe838772d927b47c1057f8ee14a63f95b40833ee02c8a5e542a96f0678d75e5","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T01:04:33.578249Z","signature_b64":"e9p7brEZC35ySw6zNf4p8+ZLgPz4h0LOHi2k6tVwOy9qvGFTXVAFTy07T1V9RXxabxRj4HlRBD8+ooIGZ10eAw==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"0fe838772d927b47c1057f8ee14a63f95b40833ee02c8a5e542a96f0678d75e5","last_reissued_at":"2026-05-18T01:04:33.577563Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T01:04:33.577563Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1407.4295","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":"2026-05-18T01:04:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"A+BESxYp3GUexwRQLy37FT5EqjeY0ite5LTEh63tmInFd/z4zaxf0RkQAEbcQlig0goMtu4K264+XSKUW8nbCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T20:00:20.429254Z"},"content_sha256":"1bd90d349d4a158db3b0534e0637f97dac476a7ba774116fef7f90598b597993","schema_version":"1.0","event_id":"sha256:1bd90d349d4a158db3b0534e0637f97dac476a7ba774116fef7f90598b597993"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:B7UDQ5ZNSJ5UPQIFP6HOCSTD7F","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Random walk loop soups and conformal loop ensembles","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Federico Camia, Marcin Lis, Tim van de Brug","submitted_at":"2014-07-16T13:17:00Z","abstract_excerpt":"The random walk loop soup is a Poissonian ensemble of lattice loops; it has been extensively studied because of its connections to the discrete Gaussian free field, but was originally introduced by Lawler and Trujillo Ferreras as a discrete version of the Brownian loop soup of Lawler and Werner, a conformally invariant Poissonian ensemble of planar loops with deep connections to conformal loop ensembles (CLEs) and the Schramm-Loewner evolution (SLE).\n  Lawler and Trujillo Ferreras showed that, roughly speaking, in the continuum scaling limit, ``large'' lattice loops from the random walk loop s"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.4295","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":""},"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":"2026-05-18T01:04:33Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t7lhLuUklHIgXDHq1z75gxHhLAhKmXmThOcGS5d0Ix22wbjTc00IP4yWY0/QQQgcJZfDN4Ok9wx1Wuk8WV5HDA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-06-25T20:00:20.429611Z"},"content_sha256":"6933283256b6a0115a56d2d552176e2a0964d037979eb58de139409564dd9f07","schema_version":"1.0","event_id":"sha256:6933283256b6a0115a56d2d552176e2a0964d037979eb58de139409564dd9f07"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/B7UDQ5ZNSJ5UPQIFP6HOCSTD7F/bundle.json","state_url":"https://pith.science/pith/B7UDQ5ZNSJ5UPQIFP6HOCSTD7F/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/B7UDQ5ZNSJ5UPQIFP6HOCSTD7F/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":"2026-06-25T20:00:20Z","links":{"resolver":"https://pith.science/pith/B7UDQ5ZNSJ5UPQIFP6HOCSTD7F","bundle":"https://pith.science/pith/B7UDQ5ZNSJ5UPQIFP6HOCSTD7F/bundle.json","state":"https://pith.science/pith/B7UDQ5ZNSJ5UPQIFP6HOCSTD7F/state.json","well_known_bundle":"https://pith.science/.well-known/pith/B7UDQ5ZNSJ5UPQIFP6HOCSTD7F/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:B7UDQ5ZNSJ5UPQIFP6HOCSTD7F","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":"bc744f251526182e696b9cf2070d482df4bc6bbf3a6526e5e57c6f81e715bdf9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-07-16T13:17:00Z","title_canon_sha256":"ce044e01b58aac5d61388f05baf9748d111050d91772dea7a7defc711657020a"},"schema_version":"1.0","source":{"id":"1407.4295","kind":"arxiv","version":2}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1407.4295","created_at":"2026-05-18T01:04:33Z"},{"alias_kind":"arxiv_version","alias_value":"1407.4295v2","created_at":"2026-05-18T01:04:33Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1407.4295","created_at":"2026-05-18T01:04:33Z"},{"alias_kind":"pith_short_12","alias_value":"B7UDQ5ZNSJ5U","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_16","alias_value":"B7UDQ5ZNSJ5UPQIF","created_at":"2026-05-18T12:28:22Z"},{"alias_kind":"pith_short_8","alias_value":"B7UDQ5ZN","created_at":"2026-05-18T12:28:22Z"}],"graph_snapshots":[{"event_id":"sha256:6933283256b6a0115a56d2d552176e2a0964d037979eb58de139409564dd9f07","target":"graph","created_at":"2026-05-18T01:04:33Z","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":"The random walk loop soup is a Poissonian ensemble of lattice loops; it has been extensively studied because of its connections to the discrete Gaussian free field, but was originally introduced by Lawler and Trujillo Ferreras as a discrete version of the Brownian loop soup of Lawler and Werner, a conformally invariant Poissonian ensemble of planar loops with deep connections to conformal loop ensembles (CLEs) and the Schramm-Loewner evolution (SLE).\n  Lawler and Trujillo Ferreras showed that, roughly speaking, in the continuum scaling limit, ``large'' lattice loops from the random walk loop s","authors_text":"Federico Camia, Marcin Lis, Tim van de Brug","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-07-16T13:17:00Z","title":"Random walk loop soups and conformal loop ensembles"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1407.4295","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":"sha256:1bd90d349d4a158db3b0534e0637f97dac476a7ba774116fef7f90598b597993","target":"record","created_at":"2026-05-18T01:04:33Z","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":"bc744f251526182e696b9cf2070d482df4bc6bbf3a6526e5e57c6f81e715bdf9","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2014-07-16T13:17:00Z","title_canon_sha256":"ce044e01b58aac5d61388f05baf9748d111050d91772dea7a7defc711657020a"},"schema_version":"1.0","source":{"id":"1407.4295","kind":"arxiv","version":2}},"canonical_sha256":"0fe838772d927b47c1057f8ee14a63f95b40833ee02c8a5e542a96f0678d75e5","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"0fe838772d927b47c1057f8ee14a63f95b40833ee02c8a5e542a96f0678d75e5","first_computed_at":"2026-05-18T01:04:33.577563Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T01:04:33.577563Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"e9p7brEZC35ySw6zNf4p8+ZLgPz4h0LOHi2k6tVwOy9qvGFTXVAFTy07T1V9RXxabxRj4HlRBD8+ooIGZ10eAw==","signature_status":"signed_v1","signed_at":"2026-05-18T01:04:33.578249Z","signed_message":"canonical_sha256_bytes"},"source_id":"1407.4295","source_kind":"arxiv","source_version":2}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:1bd90d349d4a158db3b0534e0637f97dac476a7ba774116fef7f90598b597993","sha256:6933283256b6a0115a56d2d552176e2a0964d037979eb58de139409564dd9f07"],"state_sha256":"36bd7ace3bcd0901360512d872c655330304f705c267235b1063e55bff7faf15"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"yWyKr+EXC8rBStrFOryk0T7CqV8oWPchbBjTIsuX0xJax6+H2uf3gH4wanl4JbXeLneXVJmes5UGMIEeDFHDAQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-06-25T20:00:20.431444Z","bundle_sha256":"6da9a9eea655018ebb498220508c08f0dbe1d52065270a32910737f14ff60f7a"}}