Pith Number

pith:MDAI3U4W

pith:2012:MDAI3U4WWR2SPRZJXYYUMGCHAZ

not attested not anchored not stored refs pending

Localization of a vertex reinforced random walks on $\Z$ with sub-linear weights

Anne-Laure Basdevant (MODAL'X), Arvind Singh (LM-Orsay), Bruno Schapira (LM-Orsay)

arxiv:1207.2238 v2 · 2012-07-10 · 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{MDAI3U4WWR2SPRZJXYYUMGCHAZ}

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	2026-05-18T03:50:49.983005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60c08dd396b47527c729be314618470644b7b0f4cb95a201705847082fee7aef

Aliases

arxiv: 1207.2238 · arxiv_version: 1207.2238v2 · doi: 10.48550/arxiv.1207.2238 · pith_short_12: MDAI3U4WWR2S · pith_short_16: MDAI3U4WWR2SPRZJ · pith_short_8: MDAI3U4W

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/MDAI3U4WWR2SPRZJXYYUMGCHAZ \
  | 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: 60c08dd396b47527c729be314618470644b7b0f4cb95a201705847082fee7aef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "842f8b637661e25f606f16a148a7e9e290267471a25f9b04da7169597fd18059",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-07-10T06:48:17Z",
    "title_canon_sha256": "978a6b6c6c6d8bf38ea7a777481851234e70bdcd6d9a0cd1d764470d412d2ee9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2238",
    "kind": "arxiv",
    "version": 2
  }
}