{"bundle_type":"pith_open_graph_bundle","bundle_version":"1.0","pith_number":"pith:2026:JBV3HAAS7TR4PZVVLLJSON76IC","short_pith_number":"pith:JBV3HAAS","canonical_record":{"source":{"id":"2606.24451","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-06-23T11:38:01Z","cross_cats_sorted":[],"title_canon_sha256":"6ce462247ec2405816ee824f0709d22a116b071835f1f96680c06681223b22bd","abstract_canon_sha256":"bf020ba0d135eb5e418fe83ba1fb6df73d2f0a73081fe69c0185ea07e7a42e38"},"schema_version":"1.0"},"canonical_sha256":"486bb38012fce3c7e6b55ad32737fe40b34baf143d8afc8cda3a8dfe374c7654","source":{"kind":"arxiv","id":"2606.24451","version":1},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.24451","created_at":"2026-06-24T01:15:30Z"},{"alias_kind":"arxiv_version","alias_value":"2606.24451v1","created_at":"2026-06-24T01:15:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.24451","created_at":"2026-06-24T01:15:30Z"},{"alias_kind":"pith_short_12","alias_value":"JBV3HAAS7TR4","created_at":"2026-06-24T01:15:30Z"},{"alias_kind":"pith_short_16","alias_value":"JBV3HAAS7TR4PZVV","created_at":"2026-06-24T01:15:30Z"},{"alias_kind":"pith_short_8","alias_value":"JBV3HAAS","created_at":"2026-06-24T01:15:30Z"}],"events":[{"event_type":"record_created","subject_pith_number":"pith:2026:JBV3HAAS7TR4PZVVLLJSON76IC","target":"record","payload":{"canonical_record":{"source":{"id":"2606.24451","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-06-23T11:38:01Z","cross_cats_sorted":[],"title_canon_sha256":"6ce462247ec2405816ee824f0709d22a116b071835f1f96680c06681223b22bd","abstract_canon_sha256":"bf020ba0d135eb5e418fe83ba1fb6df73d2f0a73081fe69c0185ea07e7a42e38"},"schema_version":"1.0"},"canonical_sha256":"486bb38012fce3c7e6b55ad32737fe40b34baf143d8afc8cda3a8dfe374c7654","receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-06-24T01:15:30.765239Z","signature_b64":"iDLIgyUauaRDiA9RGxSsC0EjyUiri+PTs5MAX2Tgfs2jELPyqAGNSWvX1uDInNH8zuhqDjNraPxZlR3LYgnwBg==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"486bb38012fce3c7e6b55ad32737fe40b34baf143d8afc8cda3a8dfe374c7654","last_reissued_at":"2026-06-24T01:15:30.764896Z","signature_status":"signed_v1","first_computed_at":"2026-06-24T01:15:30.764896Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"source_kind":"arxiv","source_id":"2606.24451","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":"2026-06-24T01:15:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"szEs+CPSLstmkxF4GJEwXEvrmzFWqK8kcRrCSfQIRKnoEk5cMcsfgqXpOOgwAXt2RtAqs1Y6+4IkOlrT9EKyDQ==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T10:04:36.063382Z"},"content_sha256":"0b41c38e7b40bd9a77e53e9fe2788941700bc19f579370184f8a3a0f28c58cc5","schema_version":"1.0","event_id":"sha256:0b41c38e7b40bd9a77e53e9fe2788941700bc19f579370184f8a3a0f28c58cc5"},{"event_type":"graph_snapshot","subject_pith_number":"pith:2026:JBV3HAAS7TR4PZVVLLJSON76IC","target":"graph","payload":{"graph_snapshot":{"paper":{"title":"From Continuous-Time Random Walks to Laplace Tails","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.stat-mech","authors_text":"Eli Barkai, Omer Hamdi, Stanislav Burov","submitted_at":"2026-06-23T11:38:01Z","abstract_excerpt":"During Brownian motion, the displacement is normally distributed, a classical fact aligned with the central limit theorem. However, single particle tracking in complex media such as glasses, living cells, and colloidal suspensions often reveals pronounced exponential decay of the displacement distribution, known as Laplace tails. In a short letter, two of us presented the emergence of Laplace tails in the continuous time random walk (CTRW) framework. Here, a detailed complementary study is presented. By exploring the behavior of $Q_t(n)$, the probability that exactly $n$ renewals occur during "},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.24451","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/2606.24451/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":"2026-06-24T01:15:30Z","supersedes":[],"prev_event":null,"signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"wGZ86dKCqIbbFGo+s5Hcp13Xd/GGkrxQtpN5BBNFptZSddN2XckjH0sohjcGbTsDWIi26/xAFt0OZMerPxcVBA==","signed_message":"open_graph_event_sha256_bytes","signed_at":"2026-08-08T10:04:36.063915Z"},"content_sha256":"df347d59a071a06d9dc66cc1bdfe0d9f1a9d78bcd68c05e3f9668ab7e3aa5d33","schema_version":"1.0","event_id":"sha256:df347d59a071a06d9dc66cc1bdfe0d9f1a9d78bcd68c05e3f9668ab7e3aa5d33"}],"timestamp_proofs":[],"mirror_hints":[{"mirror_type":"https","name":"Pith Resolver","base_url":"https://pith.science","bundle_url":"https://pith.science/pith/JBV3HAAS7TR4PZVVLLJSON76IC/bundle.json","state_url":"https://pith.science/pith/JBV3HAAS7TR4PZVVLLJSON76IC/state.json","well_known_bundle_url":"https://pith.science/.well-known/pith/JBV3HAAS7TR4PZVVLLJSON76IC/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":"2026-08-08T10:04:36Z","links":{"resolver":"https://pith.science/pith/JBV3HAAS7TR4PZVVLLJSON76IC","bundle":"https://pith.science/pith/JBV3HAAS7TR4PZVVLLJSON76IC/bundle.json","state":"https://pith.science/pith/JBV3HAAS7TR4PZVVLLJSON76IC/state.json","well_known_bundle":"https://pith.science/.well-known/pith/JBV3HAAS7TR4PZVVLLJSON76IC/bundle.json"},"state":{"state_type":"pith_open_graph_state","state_version":"1.0","pith_number":"pith:2026:JBV3HAAS7TR4PZVVLLJSON76IC","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":"bf020ba0d135eb5e418fe83ba1fb6df73d2f0a73081fe69c0185ea07e7a42e38","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-06-23T11:38:01Z","title_canon_sha256":"6ce462247ec2405816ee824f0709d22a116b071835f1f96680c06681223b22bd"},"schema_version":"1.0","source":{"id":"2606.24451","kind":"arxiv","version":1}},"source_aliases":[{"alias_kind":"arxiv","alias_value":"2606.24451","created_at":"2026-06-24T01:15:30Z"},{"alias_kind":"arxiv_version","alias_value":"2606.24451v1","created_at":"2026-06-24T01:15:30Z"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2606.24451","created_at":"2026-06-24T01:15:30Z"},{"alias_kind":"pith_short_12","alias_value":"JBV3HAAS7TR4","created_at":"2026-06-24T01:15:30Z"},{"alias_kind":"pith_short_16","alias_value":"JBV3HAAS7TR4PZVV","created_at":"2026-06-24T01:15:30Z"},{"alias_kind":"pith_short_8","alias_value":"JBV3HAAS","created_at":"2026-06-24T01:15:30Z"}],"graph_snapshots":[{"event_id":"sha256:df347d59a071a06d9dc66cc1bdfe0d9f1a9d78bcd68c05e3f9668ab7e3aa5d33","target":"graph","created_at":"2026-06-24T01:15:30Z","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/2606.24451/integrity.json","findings":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938","summary":{"advisory":0,"by_detector":{},"critical":0,"informational":0}},"paper":{"abstract_excerpt":"During Brownian motion, the displacement is normally distributed, a classical fact aligned with the central limit theorem. However, single particle tracking in complex media such as glasses, living cells, and colloidal suspensions often reveals pronounced exponential decay of the displacement distribution, known as Laplace tails. In a short letter, two of us presented the emergence of Laplace tails in the continuous time random walk (CTRW) framework. Here, a detailed complementary study is presented. By exploring the behavior of $Q_t(n)$, the probability that exactly $n$ renewals occur during ","authors_text":"Eli Barkai, Omer Hamdi, Stanislav Burov","cross_cats":[],"headline":"","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-06-23T11:38:01Z","title":"From Continuous-Time Random Walks to Laplace Tails"},"references":{"count":0,"internal_anchors":0,"resolved_work":0,"sample":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2606.24451","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":"sha256:0b41c38e7b40bd9a77e53e9fe2788941700bc19f579370184f8a3a0f28c58cc5","target":"record","created_at":"2026-06-24T01:15:30Z","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":"bf020ba0d135eb5e418fe83ba1fb6df73d2f0a73081fe69c0185ea07e7a42e38","cross_cats_sorted":[],"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.stat-mech","submitted_at":"2026-06-23T11:38:01Z","title_canon_sha256":"6ce462247ec2405816ee824f0709d22a116b071835f1f96680c06681223b22bd"},"schema_version":"1.0","source":{"id":"2606.24451","kind":"arxiv","version":1}},"canonical_sha256":"486bb38012fce3c7e6b55ad32737fe40b34baf143d8afc8cda3a8dfe374c7654","receipt":{"algorithm":"ed25519","builder_version":"pith-number-builder-2026-05-17-v1","canonical_sha256":"486bb38012fce3c7e6b55ad32737fe40b34baf143d8afc8cda3a8dfe374c7654","first_computed_at":"2026-06-24T01:15:30.764896Z","key_id":"pith-v1-2026-05","kind":"pith_receipt","last_reissued_at":"2026-06-24T01:15:30.764896Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","receipt_version":"0.3","signature_b64":"iDLIgyUauaRDiA9RGxSsC0EjyUiri+PTs5MAX2Tgfs2jELPyqAGNSWvX1uDInNH8zuhqDjNraPxZlR3LYgnwBg==","signature_status":"signed_v1","signed_at":"2026-06-24T01:15:30.765239Z","signed_message":"canonical_sha256_bytes"},"source_id":"2606.24451","source_kind":"arxiv","source_version":1}}},"equivocations":[],"invalid_events":[],"applied_event_ids":["sha256:0b41c38e7b40bd9a77e53e9fe2788941700bc19f579370184f8a3a0f28c58cc5","sha256:df347d59a071a06d9dc66cc1bdfe0d9f1a9d78bcd68c05e3f9668ab7e3aa5d33"],"state_sha256":"25f4e2cfe16814f7f1e66a6c7cc02553ce108e95673274c78826c696b81e70a7"},"bundle_signature":{"signature_status":"signed_v1","algorithm":"ed25519","key_id":"pith-v1-2026-05","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54","signature_b64":"4wTBnCVSbLj3FovfIa3kJunLV+2hxkE1zdEryxO98L1iXEsmhBYR/L3/0BY5FVV2SMA1gC2dJmEgtN7CoGLgDQ==","signed_message":"bundle_sha256_bytes","signed_at":"2026-08-08T10:04:36.068677Z","bundle_sha256":"4e150425595264b169637e72de369dcfa1073e370e162fc160e073dc9c11dddc"}}