Pith Number

pith:QKFDREEI

pith:2014:QKFDREEI3G7NTMXACUM4Y2JLTO

not attested not anchored not stored refs pending

Martingale defocusing and transience of a self-interacting random walk

Bruno Schapira, Perla Sousi, Yuval Peres

arxiv:1403.1571 v1 · 2014-03-06 · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QKFDREEI3G7NTMXACUM4Y2JLTO}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T02:56:58.745438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

828a389088d9bed9b2e01519cc692b9ba077a668a478d4b17d5d5c8478659ed9

Aliases

arxiv: 1403.1571 · arxiv_version: 1403.1571v1 · doi: 10.48550/arxiv.1403.1571 · pith_short_12: QKFDREEI3G7N · pith_short_16: QKFDREEI3G7NTMXA · pith_short_8: QKFDREEI

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/QKFDREEI3G7NTMXACUM4Y2JLTO \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 828a389088d9bed9b2e01519cc692b9ba077a668a478d4b17d5d5c8478659ed9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "64554dfd9a0e67b146aac4a0f5d26ce0a8935b66fb3858eabd844d0760364dea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2014-03-06T20:52:11Z",
    "title_canon_sha256": "59b7b297d57c970ca26f58fd414c7d63c73f0eb5d43a4450092ca74040a1bcef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.1571",
    "kind": "arxiv",
    "version": 1
  }
}