{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2024:SAC4V3MQ6WJWVB6CPJ2V3KUWBY","short_pith_number":"pith:SAC4V3MQ","canonical_record":{"source":{"id":"2403.15275","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-03-22T15:17:00Z","cross_cats_sorted":[],"title_canon_sha256":"b347099015b9a880fd12feda3fccb7f277de2c8a748a43ecb1a773cbe25a542d","abstract_canon_sha256":"ff9f6deb35ce839218a6bb88693dd40b9aaf95f87ce007fa4b39cfae518bbadf"},"schema_version":"1.0"},"canonical_sha256":"9005caed90f5936a87c27a755daa960e1fd9f1c21dab4b517f2083cefb4c0f78","source":{"kind":"arxiv","id":"2403.15275","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.15275","created_at":"2026-07-05T07:59:32Z"},{"alias_kind":"arxiv_version","alias_value":"2403.15275v1","created_at":"2026-07-05T07:59:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.15275","created_at":"2026-07-05T07:59:32Z"},{"alias_kind":"pith_short_12","alias_value":"SAC4V3MQ6WJW","created_at":"2026-07-05T07:59:32Z"},{"alias_kind":"pith_short_16","alias_value":"SAC4V3MQ6WJWVB6C","created_at":"2026-07-05T07:59:32Z"},{"alias_kind":"pith_short_8","alias_value":"SAC4V3MQ","created_at":"2026-07-05T07:59:32Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2024:SAC4V3MQ6WJWVB6CPJ2V3KUWBY","target":"record","payload":{"canonical_record":{"source":{"id":"2403.15275","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-03-22T15:17:00Z","cross_cats_sorted":[],"title_canon_sha256":"b347099015b9a880fd12feda3fccb7f277de2c8a748a43ecb1a773cbe25a542d","abstract_canon_sha256":"ff9f6deb35ce839218a6bb88693dd40b9aaf95f87ce007fa4b39cfae518bbadf"},"schema_version":"1.0"},"canonical_sha256":"9005caed90f5936a87c27a755daa960e1fd9f1c21dab4b517f2083cefb4c0f78","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T07:59:32.639475Z","signature_b64":"wM9OEfsoVlDHcXxls1TZ132izFP/7uVvGMv0iM/6ohMI8upp8PMDbKLqgvZ1s0i87/H0/F4Co0/NTwGoyKY9CA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"9005caed90f5936a87c27a755daa960e1fd9f1c21dab4b517f2083cefb4c0f78","last_reissued_at":"2026-07-05T07:59:32.638924Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T07:59:32.638924Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2403.15275","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":"2026-07-05T07:59:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"t0sKsOhPfqtMgUBQ/NpFKHtuVkUDdMeYNq6We4AS8c/RLcjWJXO0J+LJMgLXM4DxixyrjIaMAEFIHgtSEIZnDw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T06:49:47.760050Z"},"content_sha256":"d2c18dc1417e3c491a296eb37629b638ac86045d0c5d6af47d15c4a401b52db9","schema_version":"1.0","event_id":"sha256:d2c18dc1417e3c491a296eb37629b638ac86045d0c5d6af47d15c4a401b52db9"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2024:SAC4V3MQ6WJWVB6CPJ2V3KUWBY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Some properties of stable snakes","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Ariane Carrance, Eleanor Archer, Laurent M\\'enard","submitted_at":"2024-03-22T15:17:00Z","abstract_excerpt":"We prove some technical results relating to the Brownian snake on a stable L\\'evy tree. This includes some estimates on the range of the snake, estimates on its occupation measure around its minimum and also a proof of the fact that the snake and the height function of the associated tree have no common increase points."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.15275","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/2403.15275/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":"2026-07-05T07:59:32Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"pk+Cnqsa9r6mtlAaTTKY5t8Ao0p6Xpt3LVuInPIX9x8CrOMbi2QFzA6vxBpjjgdEcVU4mZYee/Jvcz+mMk6nBw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-11T06:49:47.760756Z"},"content_sha256":"0aca78f2822bc8ce1eac66696bc98eceb5158cf319f2496336a070b529012f6c","schema_version":"1.0","event_id":"sha256:0aca78f2822bc8ce1eac66696bc98eceb5158cf319f2496336a070b529012f6c"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/SAC4V3MQ6WJWVB6CPJ2V3KUWBY/bundle.json","state_url":"https://pith.science/pith/SAC4V3MQ6WJWVB6CPJ2V3KUWBY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/SAC4V3MQ6WJWVB6CPJ2V3KUWBY/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":"2026-08-11T06:49:47Z","links":{"resolver":"https://pith.science/pith/SAC4V3MQ6WJWVB6CPJ2V3KUWBY","bundle":"https://pith.science/pith/SAC4V3MQ6WJWVB6CPJ2V3KUWBY/bundle.json","state":"https://pith.science/pith/SAC4V3MQ6WJWVB6CPJ2V3KUWBY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/SAC4V3MQ6WJWVB6CPJ2V3KUWBY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2024:SAC4V3MQ6WJWVB6CPJ2V3KUWBY","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":"ff9f6deb35ce839218a6bb88693dd40b9aaf95f87ce007fa4b39cfae518bbadf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-03-22T15:17:00Z","title_canon_sha256":"b347099015b9a880fd12feda3fccb7f277de2c8a748a43ecb1a773cbe25a542d"},"schema_version":"1.0","source":{"id":"2403.15275","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2403.15275","created_at":"2026-07-05T07:59:32Z"},{"alias_kind":"arxiv_version","alias_value":"2403.15275v1","created_at":"2026-07-05T07:59:32Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2403.15275","created_at":"2026-07-05T07:59:32Z"},{"alias_kind":"pith_short_12","alias_value":"SAC4V3MQ6WJW","created_at":"2026-07-05T07:59:32Z"},{"alias_kind":"pith_short_16","alias_value":"SAC4V3MQ6WJWVB6C","created_at":"2026-07-05T07:59:32Z"},{"alias_kind":"pith_short_8","alias_value":"SAC4V3MQ","created_at":"2026-07-05T07:59:32Z"}],"graph_snapshots":[{"event_id":"sha256:0aca78f2822bc8ce1eac66696bc98eceb5158cf319f2496336a070b529012f6c","target":"graph","created_at":"2026-07-05T07:59:32Z","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/2403.15275/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We prove some technical results relating to the Brownian snake on a stable L\\'evy tree. This includes some estimates on the range of the snake, estimates on its occupation measure around its minimum and also a proof of the fact that the snake and the height function of the associated tree have no common increase points.","authors_text":"Ariane Carrance, Eleanor Archer, Laurent M\\'enard","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-03-22T15:17:00Z","title":"Some properties of stable snakes"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2403.15275","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:d2c18dc1417e3c491a296eb37629b638ac86045d0c5d6af47d15c4a401b52db9","target":"record","created_at":"2026-07-05T07:59:32Z","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":"ff9f6deb35ce839218a6bb88693dd40b9aaf95f87ce007fa4b39cfae518bbadf","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2024-03-22T15:17:00Z","title_canon_sha256":"b347099015b9a880fd12feda3fccb7f277de2c8a748a43ecb1a773cbe25a542d"},"schema_version":"1.0","source":{"id":"2403.15275","kind":"arxiv","version":1}},"canonical_sha256":"9005caed90f5936a87c27a755daa960e1fd9f1c21dab4b517f2083cefb4c0f78","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"9005caed90f5936a87c27a755daa960e1fd9f1c21dab4b517f2083cefb4c0f78","first_computed_at":"2026-07-05T07:59:32.638924Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T07:59:32.638924Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"wM9OEfsoVlDHcXxls1TZ132izFP/7uVvGMv0iM/6ohMI8upp8PMDbKLqgvZ1s0i87/H0/F4Co0/NTwGoyKY9CA==","signature_status":"signed_v1","signed_at":"2026-07-05T07:59:32.639475Z","signed_message":"canonical_sha256_bytes"},"source_id":"2403.15275","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:d2c18dc1417e3c491a296eb37629b638ac86045d0c5d6af47d15c4a401b52db9","sha256:0aca78f2822bc8ce1eac66696bc98eceb5158cf319f2496336a070b529012f6c"],"state_sha256":"0dcfc9f0c9f781b8ed382743fff97deb2596feb908378c65b0e6774faf7648d2"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"3qxgqfYuAf/qmwK0HLTQ8s12fKZVfRATNrDqGfnMCFXebNvcbcYz+duCnnxMOCFjr6fkonwqIIanQvUQ01ynAw==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-11T06:49:47.767988Z","bundle_sha256":"ce06387511245746a5af840707ec40d31957962672fa181da88c283a1b4b0023"}}