{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2025:QVDZ24HERVXMT4XKNHW5KKG3FY","short_pith_number":"pith:QVDZ24HE","canonical_record":{"source":{"id":"2507.05955","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-07-08T12:53:50Z","cross_cats_sorted":[],"title_canon_sha256":"ea290b06cf25de1d463c1c7b15b05bcaac130a8105fb7167f4389dfdf5ac191c","abstract_canon_sha256":"6ec01b324514825d93d7bc752b72192e5c508300e8af74ab8d85a7ab48ee1470"},"schema_version":"1.0"},"canonical_sha256":"85479d70e48d6ec9f2ea69edd528db2e14592be2e8bc879c0bc797ca2aed2611","source":{"kind":"arxiv","id":"2507.05955","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.05955","created_at":"2026-07-05T11:33:39Z"},{"alias_kind":"arxiv_version","alias_value":"2507.05955v1","created_at":"2026-07-05T11:33:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.05955","created_at":"2026-07-05T11:33:39Z"},{"alias_kind":"pith_short_12","alias_value":"QVDZ24HERVXM","created_at":"2026-07-05T11:33:39Z"},{"alias_kind":"pith_short_16","alias_value":"QVDZ24HERVXMT4XK","created_at":"2026-07-05T11:33:39Z"},{"alias_kind":"pith_short_8","alias_value":"QVDZ24HE","created_at":"2026-07-05T11:33:39Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2025:QVDZ24HERVXMT4XKNHW5KKG3FY","target":"record","payload":{"canonical_record":{"source":{"id":"2507.05955","kind":"arxiv","version":1},"metadata":{"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-07-08T12:53:50Z","cross_cats_sorted":[],"title_canon_sha256":"ea290b06cf25de1d463c1c7b15b05bcaac130a8105fb7167f4389dfdf5ac191c","abstract_canon_sha256":"6ec01b324514825d93d7bc752b72192e5c508300e8af74ab8d85a7ab48ee1470"},"schema_version":"1.0"},"canonical_sha256":"85479d70e48d6ec9f2ea69edd528db2e14592be2e8bc879c0bc797ca2aed2611","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T11:33:39.160181Z","signature_b64":"mVUJXCG/f/+09IPOx1zac3aob7Xc06a2ywjMh6Bl6DJokoU9eVBZ29vj6sm/66iWnKahz/X/9YuyBuFuiwsIBA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"85479d70e48d6ec9f2ea69edd528db2e14592be2e8bc879c0bc797ca2aed2611","last_reissued_at":"2026-07-05T11:33:39.159792Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T11:33:39.159792Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2507.05955","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":"2026-07-05T11:33:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"I2GfdryDDrTz97h21qjmTSQaPIig/zAffv/KuHHhH0saGfst7iEU9J5muSCWwwqs2un3h9sPN98wPP+o6v+cCQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T05:12:37.502388Z"},"content_sha256":"8650fbfddd84768aea7cc40118c8e7c16f66de50ce21cb4b2dd6e7e1480eb9dd","schema_version":"1.0","event_id":"sha256:8650fbfddd84768aea7cc40118c8e7c16f66de50ce21cb4b2dd6e7e1480eb9dd"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2025:QVDZ24HERVXMT4XKNHW5KKG3FY","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"Statistical properties of stochastic functionals under general resetting","license":"http://creativecommons.org/licenses/by/4.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"R. Flaquer-Galm\\'es, V. M\\'endez","submitted_at":"2025-07-08T12:53:50Z","abstract_excerpt":"We derive the characteristic function of stochastic functionals of a random walk whose position is reset to the origin at random times drawn from a general probability distribution. We analyze the long-time behavior and obtain the temporal scaling of the first two moments of any stochastic functional of the random walk when the resetting time distribution exhibits a power-law tail. When the resetting times PDF has finite moments, the probability density of any functional converges to a delta function centered at its mean, indicating an ergodic phase. We explicitly examine the case of the half-"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.05955","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/2507.05955/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":"2026-07-05T11:33:39Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"gZdDsysjBq9frAsWPTaIDmF6KeXkYNEhyFhl/UOfJ5X7JqE3OFvB/+24fr8sIIwVD8mcJE7Qi7KfgHzZ5lovAQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-22T05:12:37.502730Z"},"content_sha256":"e22a506dcc1dea41c678fd9516cac56fe4e3a568f1f6c512736ba462d5dd0b16","schema_version":"1.0","event_id":"sha256:e22a506dcc1dea41c678fd9516cac56fe4e3a568f1f6c512736ba462d5dd0b16"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/QVDZ24HERVXMT4XKNHW5KKG3FY/bundle.json","state_url":"https://pith.science/pith/QVDZ24HERVXMT4XKNHW5KKG3FY/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/QVDZ24HERVXMT4XKNHW5KKG3FY/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":"2026-08-22T05:12:37Z","links":{"resolver":"https://pith.science/pith/QVDZ24HERVXMT4XKNHW5KKG3FY","bundle":"https://pith.science/pith/QVDZ24HERVXMT4XKNHW5KKG3FY/bundle.json","state":"https://pith.science/pith/QVDZ24HERVXMT4XKNHW5KKG3FY/state.json","well_known_bundle":"https://pith.science/.well-known/pith/QVDZ24HERVXMT4XKNHW5KKG3FY/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2025:QVDZ24HERVXMT4XKNHW5KKG3FY","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":"6ec01b324514825d93d7bc752b72192e5c508300e8af74ab8d85a7ab48ee1470","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-07-08T12:53:50Z","title_canon_sha256":"ea290b06cf25de1d463c1c7b15b05bcaac130a8105fb7167f4389dfdf5ac191c"},"schema_version":"1.0","source":{"id":"2507.05955","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2507.05955","created_at":"2026-07-05T11:33:39Z"},{"alias_kind":"arxiv_version","alias_value":"2507.05955v1","created_at":"2026-07-05T11:33:39Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2507.05955","created_at":"2026-07-05T11:33:39Z"},{"alias_kind":"pith_short_12","alias_value":"QVDZ24HERVXM","created_at":"2026-07-05T11:33:39Z"},{"alias_kind":"pith_short_16","alias_value":"QVDZ24HERVXMT4XK","created_at":"2026-07-05T11:33:39Z"},{"alias_kind":"pith_short_8","alias_value":"QVDZ24HE","created_at":"2026-07-05T11:33:39Z"}],"graph_snapshots":[{"event_id":"sha256:e22a506dcc1dea41c678fd9516cac56fe4e3a568f1f6c512736ba462d5dd0b16","target":"graph","created_at":"2026-07-05T11:33:39Z","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/2507.05955/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"We derive the characteristic function of stochastic functionals of a random walk whose position is reset to the origin at random times drawn from a general probability distribution. We analyze the long-time behavior and obtain the temporal scaling of the first two moments of any stochastic functional of the random walk when the resetting time distribution exhibits a power-law tail. When the resetting times PDF has finite moments, the probability density of any functional converges to a delta function centered at its mean, indicating an ergodic phase. We explicitly examine the case of the half-","authors_text":"R. Flaquer-Galm\\'es, V. M\\'endez","cross_cats":[],"headline":"","license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-07-08T12:53:50Z","title":"Statistical properties of stochastic functionals under general resetting"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2507.05955","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":"sha256:8650fbfddd84768aea7cc40118c8e7c16f66de50ce21cb4b2dd6e7e1480eb9dd","target":"record","created_at":"2026-07-05T11:33:39Z","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":"6ec01b324514825d93d7bc752b72192e5c508300e8af74ab8d85a7ab48ee1470","cross_cats_sorted":[],"license":"http://creativecommons.org/licenses/by/4.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2025-07-08T12:53:50Z","title_canon_sha256":"ea290b06cf25de1d463c1c7b15b05bcaac130a8105fb7167f4389dfdf5ac191c"},"schema_version":"1.0","source":{"id":"2507.05955","kind":"arxiv","version":1}},"canonical_sha256":"85479d70e48d6ec9f2ea69edd528db2e14592be2e8bc879c0bc797ca2aed2611","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"85479d70e48d6ec9f2ea69edd528db2e14592be2e8bc879c0bc797ca2aed2611","first_computed_at":"2026-07-05T11:33:39.159792Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-07-05T11:33:39.159792Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"mVUJXCG/f/+09IPOx1zac3aob7Xc06a2ywjMh6Bl6DJokoU9eVBZ29vj6sm/66iWnKahz/X/9YuyBuFuiwsIBA==","signature_status":"signed_v1","signed_at":"2026-07-05T11:33:39.160181Z","signed_message":"canonical_sha256_bytes"},"source_id":"2507.05955","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:8650fbfddd84768aea7cc40118c8e7c16f66de50ce21cb4b2dd6e7e1480eb9dd","sha256:e22a506dcc1dea41c678fd9516cac56fe4e3a568f1f6c512736ba462d5dd0b16"],"state_sha256":"98678222c630f1dcccc49109fe2774168706f0b9e8f9b16b2f41cf0dba12ddfb"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"Ql4hX1RRv/31JjrIu0WVl5R+HI5DYxGGzKh3DyO2TXwkYdMqXAU7a+n6Mdu88C1/lxghf+qwn4rECY9Af6VLBA==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-22T05:12:37.505969Z","bundle_sha256":"fb498d0ac35c171b3a596411b3ddb01c35cd246d3714fff1a45ba7bc7395dfb6"}}