Pith Number

pith:CXPEFOWG

pith:2012:CXPEFOWGRYNECERZLIIUOCAZMU

not attested not anchored not stored refs pending

Localization for a random walk in slowly decreasing random potential

Christophe Gallesco, Gunter M. Sch\"utz, Serguei Popov

arxiv:1210.1972 v2 · 2012-10-06 · 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{CXPEFOWGRYNECERZLIIUOCAZMU}

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	2026-05-18T03:20:58.701853Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15de42bac68e1a4112395a11470819653e180545983be1d2d20b007afbab08fb

Aliases

arxiv: 1210.1972 · arxiv_version: 1210.1972v2 · doi: 10.48550/arxiv.1210.1972 · pith_short_12: CXPEFOWGRYNE · pith_short_16: CXPEFOWGRYNECERZ · pith_short_8: CXPEFOWG

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/CXPEFOWGRYNECERZLIIUOCAZMU \
  | 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: 15de42bac68e1a4112395a11470819653e180545983be1d2d20b007afbab08fb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d5d8e2e71f3fb1f8909e96e459049d170388df41cc544d1b6c3ae20349c128a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-10-06T15:43:34Z",
    "title_canon_sha256": "a505ea3ce5f342f3f7febe5a84e11439af776c9da08165fe7df1fba12c7cf6a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1972",
    "kind": "arxiv",
    "version": 2
  }
}