Pith Number

pith:QNE4QXMJ

pith:2013:QNE4QXMJAAADZRHG6TIWSYWBPZ

not attested not anchored not stored refs pending

Randomly trapped random walks

G\'erard Ben Arous, Ji\v{r}\'i \v{C}ern\'y, Manuel Cabezas, Roman Royfman

arxiv:1302.7227 v2 · 2013-02-28 · 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{QNE4QXMJAAADZRHG6TIWSYWBPZ}

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	2026-05-18T01:28:35.527574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8349c85d8900003cc4e6f4d16962c17e67160a3ddf3175272da9d5a3d78777d3

Aliases

arxiv: 1302.7227 · arxiv_version: 1302.7227v2 · doi: 10.48550/arxiv.1302.7227 · pith_short_12: QNE4QXMJAAAD · pith_short_16: QNE4QXMJAAADZRHG · pith_short_8: QNE4QXMJ

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/QNE4QXMJAAADZRHG6TIWSYWBPZ \
  | 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: 8349c85d8900003cc4e6f4d16962c17e67160a3ddf3175272da9d5a3d78777d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f76c827d7cb2d72ba2b478cde36302c1085b0068046922ce1a1bcbff0f12b404",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-02-28T15:12:29Z",
    "title_canon_sha256": "d10145cdd8bad0f2c9f051f09703c1eef91995bbdacf5d8ce6f3a5d6eff71778"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.7227",
    "kind": "arxiv",
    "version": 2
  }
}