{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2020:QDAAQLEJ55MZF4J5YHVF7FIWXH","short_pith_number":"pith:QDAAQLEJ","canonical_record":{"source":{"id":"2011.13595","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2020-11-27T07:52:56Z","cross_cats_sorted":[],"title_canon_sha256":"7051884e4ebc3afe10aebeb2b1d8cda044d0e61d6da90104693da295825d2321","abstract_canon_sha256":"8cf324d109dd51eaad9b296f4e78c6006f78b858070ced14df4f8c54e2d037f4"},"schema_version":"1.0"},"canonical_sha256":"80c0082c89ef5992f13dc1ea5f9516b9ca338ac9b94067a2b86db4c618b403d8","source":{"kind":"arxiv","id":"2011.13595","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2011.13595","created_at":"2026-07-05T01:54:56Z"},{"alias_kind":"arxiv_version","alias_value":"2011.13595v1","created_at":"2026-07-05T01:54:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2011.13595","created_at":"2026-07-05T01:54:56Z"},{"alias_kind":"pith_short_12","alias_value":"QDAAQLEJ55MZ","created_at":"2026-07-05T01:54:56Z"},{"alias_kind":"pith_short_16","alias_value":"QDAAQLEJ55MZF4J5","created_at":"2026-07-05T01:54:56Z"},{"alias_kind":"pith_short_8","alias_value":"QDAAQLEJ","created_at":"2026-07-05T01:54:56Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2020:QDAAQLEJ55MZF4J5YHVF7FIWXH","target":"record","payload":{"canonical_record":{"source":{"id":"2011.13595","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2020-11-27T07:52:56Z","cross_cats_sorted":[],"title_canon_sha256":"7051884e4ebc3afe10aebeb2b1d8cda044d0e61d6da90104693da295825d2321","abstract_canon_sha256":"8cf324d109dd51eaad9b296f4e78c6006f78b858070ced14df4f8c54e2d037f4"},"schema_version":"1.0"},"canonical_sha256":"80c0082c89ef5992f13dc1ea5f9516b9ca338ac9b94067a2b86db4c618b403d8","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T01:54:56.087342Z","signature_b64":"EXIb4VVEUgzKZlpTMDi0DvWp+Md5EnZ8fACh8wdTNKUveawme1COClnEEHBAI2BtRQPVhHoqF68y2FYt+2n+Ag==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"80c0082c89ef5992f13dc1ea5f9516b9ca338ac9b94067a2b86db4c618b403d8","last_reissued_at":"2026-07-05T01:54:56.086885Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T01:54:56.086885Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2011.13595","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":"2026-07-05T01:54:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"f5tdrOzsm5b5AtFtxEV1KLUYlL3gCzM0zh5BJrnjVrS400wRe4L2tiwwRb+Bwzjw8UGMbDXLa9lCQ771VHSvAA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T01:11:04.945847Z"},"content_sha256":"810e6e5967a448dda3cd1fb1af6fa7c6a7e66e1aa7fd08e5ecde674aeff38505","schema_version":"1.0","event_id":"sha256:810e6e5967a448dda3cd1fb1af6fa7c6a7e66e1aa7fd08e5ecde674aeff38505"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2020:QDAAQLEJ55MZF4J5YHVF7FIWXH","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Continuity of the time constant in a continuous model of first passage percolation","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"math.PR","authors_text":"Jean-Baptiste Gou\\'er\\'e (IDP), Marie Th\\'eret (FP2M, Modal'x)","submitted_at":"2020-11-27T07:52:56Z","abstract_excerpt":"For a given dimension d $\\ge$ 2 and a finite measure $\\nu$ on (0, +$\\infty$), we consider $\\xi$ a Poisson point process on R d x (0, +$\\infty$) with intensity measure dc $\\otimes$ $\\nu$ where dc denotes the Lebesgue measure on R d. We consider the Boolean model $\\Sigma$ = $\\cup$ (c,r)$\\in$$\\xi$ B(c, r) where B(c, r) denotes the open ball centered at c with radius r. For every x, y $\\in$ R d we define T (x, y) as the minimum time needed to travel from x to y by a traveler that walks at speed 1 outside $\\Sigma$ and at infinite speed inside $\\Sigma$. By a standard application of Kingman sub-addit"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2011.13595","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/2011.13595/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":"2026-07-05T01:54:56Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"OEDZ/u/F5SsveXnLjCrFiiBfGnVV3KC6TOVYeH6KZ6HGuJ565D8jyRJz8EVfqjAuJeezRgnlg4TM3CsXhGTzCw==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-06T01:11:04.946223Z"},"content_sha256":"8521b8bdacac214dc5281b51ae201efac9cfd35ebcd88d777816f066db87499d","schema_version":"1.0","event_id":"sha256:8521b8bdacac214dc5281b51ae201efac9cfd35ebcd88d777816f066db87499d"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QDAAQLEJ55MZF4J5YHVF7FIWXH/bundle.json","state_url":"https://pith.science/pith/QDAAQLEJ55MZF4J5YHVF7FIWXH/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QDAAQLEJ55MZF4J5YHVF7FIWXH/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":"2026-08-06T01:11:04Z","links":{"resolver":"https://pith.science/pith/QDAAQLEJ55MZF4J5YHVF7FIWXH","bundle":"https://pith.science/pith/QDAAQLEJ55MZF4J5YHVF7FIWXH/bundle.json","state":"https://pith.science/pith/QDAAQLEJ55MZF4J5YHVF7FIWXH/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QDAAQLEJ55MZF4J5YHVF7FIWXH/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2020:QDAAQLEJ55MZF4J5YHVF7FIWXH","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":"8cf324d109dd51eaad9b296f4e78c6006f78b858070ced14df4f8c54e2d037f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2020-11-27T07:52:56Z","title_canon_sha256":"7051884e4ebc3afe10aebeb2b1d8cda044d0e61d6da90104693da295825d2321"},"schema_version":"1.0","source":{"id":"2011.13595","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2011.13595","created_at":"2026-07-05T01:54:56Z"},{"alias_kind":"arxiv_version","alias_value":"2011.13595v1","created_at":"2026-07-05T01:54:56Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2011.13595","created_at":"2026-07-05T01:54:56Z"},{"alias_kind":"pith_short_12","alias_value":"QDAAQLEJ55MZ","created_at":"2026-07-05T01:54:56Z"},{"alias_kind":"pith_short_16","alias_value":"QDAAQLEJ55MZF4J5","created_at":"2026-07-05T01:54:56Z"},{"alias_kind":"pith_short_8","alias_value":"QDAAQLEJ","created_at":"2026-07-05T01:54:56Z"}],"graph_snapshots":[{"event_id":"sha256:8521b8bdacac214dc5281b51ae201efac9cfd35ebcd88d777816f066db87499d","target":"graph","created_at":"2026-07-05T01:54:56Z","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/2011.13595/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"For a given dimension d $\\ge$ 2 and a finite measure $\\nu$ on (0, +$\\infty$), we consider $\\xi$ a Poisson point process on R d x (0, +$\\infty$) with intensity measure dc $\\otimes$ $\\nu$ where dc denotes the Lebesgue measure on R d. We consider the Boolean model $\\Sigma$ = $\\cup$ (c,r)$\\in$$\\xi$ B(c, r) where B(c, r) denotes the open ball centered at c with radius r. For every x, y $\\in$ R d we define T (x, y) as the minimum time needed to travel from x to y by a traveler that walks at speed 1 outside $\\Sigma$ and at infinite speed inside $\\Sigma$. By a standard application of Kingman sub-addit","authors_text":"Jean-Baptiste Gou\\'er\\'e (IDP), Marie Th\\'eret (FP2M, Modal'x)","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2020-11-27T07:52:56Z","title":"Continuity of the time constant in a continuous model of first passage percolation"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2011.13595","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":"sha256:810e6e5967a448dda3cd1fb1af6fa7c6a7e66e1aa7fd08e5ecde674aeff38505","target":"record","created_at":"2026-07-05T01:54:56Z","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":"8cf324d109dd51eaad9b296f4e78c6006f78b858070ced14df4f8c54e2d037f4","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math.PR","submitted_at":"2020-11-27T07:52:56Z","title_canon_sha256":"7051884e4ebc3afe10aebeb2b1d8cda044d0e61d6da90104693da295825d2321"},"schema_version":"1.0","source":{"id":"2011.13595","kind":"arxiv","version":1}},"canonical_sha256":"80c0082c89ef5992f13dc1ea5f9516b9ca338ac9b94067a2b86db4c618b403d8","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"80c0082c89ef5992f13dc1ea5f9516b9ca338ac9b94067a2b86db4c618b403d8","first_computed_at":"2026-07-05T01:54:56.086885Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T01:54:56.086885Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"EXIb4VVEUgzKZlpTMDi0DvWp+Md5EnZ8fACh8wdTNKUveawme1COClnEEHBAI2BtRQPVhHoqF68y2FYt+2n+Ag==","signature_status":"signed_v1","signed_at":"2026-07-05T01:54:56.087342Z","signed_message":"canonical_sha256_bytes"},"source_id":"2011.13595","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:810e6e5967a448dda3cd1fb1af6fa7c6a7e66e1aa7fd08e5ecde674aeff38505","sha256:8521b8bdacac214dc5281b51ae201efac9cfd35ebcd88d777816f066db87499d"],"state_sha256":"b2b2b96565bf308a49623e799b82b22a8897d15fed5db64933e932bdb8293a9a"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Y2aBOZvs2rd7eCq/DyAS10W37R4YtNr3BM5EP9EqDFsNlR8pasWWwajNv6pkBMFiQ41pQZNOEhDhCZC4N60RCg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-06T01:11:04.948618Z","bundle_sha256":"6ba4b7f3387a68734ad5f12f710963c71635c0f17c2453a27960486425e0ab1a"}}