{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2014:VLGUKUBOQFKPWSJBUYA6GZVORJ","short_pith_number":"pith:VLGUKUBO","canonical_record":{"source":{"id":"1403.1986","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-03-08T16:59:23Z","cross_cats_sorted":["math.MP","math.PR"],"title_canon_sha256":"14748dbbcac292ecc34694f9339580e697c7c862e7031c38333a144afbd92ce1","abstract_canon_sha256":"36256d63d63e75aec12e599c2978612f915e6f89d06c173c51aebb05a2ebe34e"},"schema_version":"1.0"},"canonical_sha256":"aacd45502e8154fb4921a601e366ae8a43c4cca4cdbacdb458751901060d0759","source":{"kind":"arxiv","id":"1403.1986","version":5},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.1986","created_at":"2026-05-18T00:52:59Z"},{"alias_kind":"arxiv_version","alias_value":"1403.1986v5","created_at":"2026-05-18T00:52:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.1986","created_at":"2026-05-18T00:52:59Z"},{"alias_kind":"pith_short_12","alias_value":"VLGUKUBOQFKP","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"VLGUKUBOQFKPWSJB","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"VLGUKUBO","created_at":"2026-05-18T12:28:54Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2014:VLGUKUBOQFKPWSJBUYA6GZVORJ","target":"record","payload":{"canonical_record":{"source":{"id":"1403.1986","kind":"arxiv","version":5},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-03-08T16:59:23Z","cross_cats_sorted":["math.MP","math.PR"],"title_canon_sha256":"14748dbbcac292ecc34694f9339580e697c7c862e7031c38333a144afbd92ce1","abstract_canon_sha256":"36256d63d63e75aec12e599c2978612f915e6f89d06c173c51aebb05a2ebe34e"},"schema_version":"1.0"},"canonical_sha256":"aacd45502e8154fb4921a601e366ae8a43c4cca4cdbacdb458751901060d0759","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:52:59.097103Z","signature_b64":"1Fr5ETzBvJYYc0OX9t8/w7TfTMhPE4AnpNda0TTF1wz9KgBlfZuPevJS6qZbymFHPUVdqoLCifYBMPoSICwOAg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"aacd45502e8154fb4921a601e366ae8a43c4cca4cdbacdb458751901060d0759","last_reissued_at":"2026-05-18T00:52:59.096479Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:52:59.096479Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"1403.1986","source_version":5,"attestation_state":"computed"},"signer":{"signer_id":"pith.science","signer_type":"pith_registry","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"created_at":"2026-05-18T00:52:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"D/YLagFHkJcEvhvHS3rxnOOmPVkPlC6OTwT9yHCBx3UBKOPVF1Sb7t8I/Ph8t47gnGQNcJxLfOeT49THEFrrBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T16:26:40.460435Z"},"content_sha256":"748c24deaca089bb7a5f45e605c96624262bfd90c36f43629dea58c40583618d","schema_version":"1.0","event_id":"sha256:748c24deaca089bb7a5f45e605c96624262bfd90c36f43629dea58c40583618d"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2014:VLGUKUBOQFKPWSJBUYA6GZVORJ","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Absorbing-state phase transition in biased activated random walk","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":["math.MP","math.PR"],"primary_cat":"math-ph","authors_text":"Lorenzo Taggi","submitted_at":"2014-03-08T16:59:23Z","abstract_excerpt":"We consider the activated random walk (ARW) model on $\\mathbb{Z}^d$, which undergoes a transition from an absorbing regime to a regime of sustained activity. In any dimension we prove that the system is in the active regime when the particle density is less than one, provided that the jump distribution is biased and that the sleeping rate is small enough. This answers a question from Rolla and Sidoravicius (2012) and Dickman, Rolla and Sidoravicius (2010) in the case of biased jump distribution. Furthermore, we prove that the critical density depends on the jump distribution."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.1986","kind":"arxiv","version":5},"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":"2026-05-18T00:52:59Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"/R9aTJ3hWKGapqeTk3BBEhg8XJjFVuEHddDonlnVzWknone0OQK2EkKgmZ4B6fWHOxlP5jKoeun6v9a8TKTgBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-05-22T16:26:40.461108Z"},"content_sha256":"9ca2dea688b126ac504f165b9f731ef71db20380fe75ca28aec459f616784933","schema_version":"1.0","event_id":"sha256:9ca2dea688b126ac504f165b9f731ef71db20380fe75ca28aec459f616784933"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/VLGUKUBOQFKPWSJBUYA6GZVORJ/bundle.json","state_url":"https://pith.science/pith/VLGUKUBOQFKPWSJBUYA6GZVORJ/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/VLGUKUBOQFKPWSJBUYA6GZVORJ/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":"2026-05-22T16:26:40Z","links":{"resolver":"https://pith.science/pith/VLGUKUBOQFKPWSJBUYA6GZVORJ","bundle":"https://pith.science/pith/VLGUKUBOQFKPWSJBUYA6GZVORJ/bundle.json","state":"https://pith.science/pith/VLGUKUBOQFKPWSJBUYA6GZVORJ/state.json","well_known_bundle":"https://pith.science/.well-known/pith/VLGUKUBOQFKPWSJBUYA6GZVORJ/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2014:VLGUKUBOQFKPWSJBUYA6GZVORJ","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":"36256d63d63e75aec12e599c2978612f915e6f89d06c173c51aebb05a2ebe34e","cross_cats_sorted":["math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-03-08T16:59:23Z","title_canon_sha256":"14748dbbcac292ecc34694f9339580e697c7c862e7031c38333a144afbd92ce1"},"schema_version":"1.0","source":{"id":"1403.1986","kind":"arxiv","version":5}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"1403.1986","created_at":"2026-05-18T00:52:59Z"},{"alias_kind":"arxiv_version","alias_value":"1403.1986v5","created_at":"2026-05-18T00:52:59Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1403.1986","created_at":"2026-05-18T00:52:59Z"},{"alias_kind":"pith_short_12","alias_value":"VLGUKUBOQFKP","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_16","alias_value":"VLGUKUBOQFKPWSJB","created_at":"2026-05-18T12:28:54Z"},{"alias_kind":"pith_short_8","alias_value":"VLGUKUBO","created_at":"2026-05-18T12:28:54Z"}],"graph_snapshots":[{"event_id":"sha256:9ca2dea688b126ac504f165b9f731ef71db20380fe75ca28aec459f616784933","target":"graph","created_at":"2026-05-18T00:52:59Z","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":"We consider the activated random walk (ARW) model on $\\mathbb{Z}^d$, which undergoes a transition from an absorbing regime to a regime of sustained activity. In any dimension we prove that the system is in the active regime when the particle density is less than one, provided that the jump distribution is biased and that the sleeping rate is small enough. This answers a question from Rolla and Sidoravicius (2012) and Dickman, Rolla and Sidoravicius (2010) in the case of biased jump distribution. Furthermore, we prove that the critical density depends on the jump distribution.","authors_text":"Lorenzo Taggi","cross_cats":["math.MP","math.PR"],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-03-08T16:59:23Z","title":"Absorbing-state phase transition in biased activated random walk"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1403.1986","kind":"arxiv","version":5},"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":"sha256:748c24deaca089bb7a5f45e605c96624262bfd90c36f43629dea58c40583618d","target":"record","created_at":"2026-05-18T00:52:59Z","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":"36256d63d63e75aec12e599c2978612f915e6f89d06c173c51aebb05a2ebe34e","cross_cats_sorted":["math.MP","math.PR"],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"math-ph","submitted_at":"2014-03-08T16:59:23Z","title_canon_sha256":"14748dbbcac292ecc34694f9339580e697c7c862e7031c38333a144afbd92ce1"},"schema_version":"1.0","source":{"id":"1403.1986","kind":"arxiv","version":5}},"canonical_sha256":"aacd45502e8154fb4921a601e366ae8a43c4cca4cdbacdb458751901060d0759","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"aacd45502e8154fb4921a601e366ae8a43c4cca4cdbacdb458751901060d0759","first_computed_at":"2026-05-18T00:52:59.096479Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-05-18T00:52:59.096479Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"1Fr5ETzBvJYYc0OX9t8/w7TfTMhPE4AnpNda0TTF1wz9KgBlfZuPevJS6qZbymFHPUVdqoLCifYBMPoSICwOAg==","signature_status":"signed_v1","signed_at":"2026-05-18T00:52:59.097103Z","signed_message":"canonical_sha256_bytes"},"source_id":"1403.1986","source_kind":"arxiv","source_version":5}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:748c24deaca089bb7a5f45e605c96624262bfd90c36f43629dea58c40583618d","sha256:9ca2dea688b126ac504f165b9f731ef71db20380fe75ca28aec459f616784933"],"state_sha256":"29b4e1e1aa00613f8dc59731f4b3ffa4fb57a36f5a6994b7e88fadae51b4b43d"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gQQn/RceaPW679cjna6TSXDV++Z8n4WIKnr2YmX+Vm2zIhrUfGAbfBTrxpsl5EJOYCkhdsQHxYqPMbfFW4pfBg==","signed_message":"bundle_sha256_bytes","signed_at":"2026-05-22T16:26:40.464474Z","bundle_sha256":"ccc11b249362aed4d4d777488431e4b09d2789a1d72dfce971f622e9842f62d0"}}