Pith Number

pith:ENOBWJK2

pith:2022:ENOBWJK2OJ7D54FNBDWJYPN6OA

not attested not anchored not stored refs pending

Marches al\'eatoires dans un c\^one et fonctions discr\`etes harmoniques

Kilian Raschel, Pierre Tarrago

arxiv:2211.02925 v1 · 2022-11-05 · math.PR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ENOBWJK2OJ7D54FNBDWJYPN6OA}

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.

Cited by

1 paper in Pith

Axis-Driven Random Walks on $\mathbb{Z}^2$ (transient cases)

Receipt and verification

First computed	2026-07-05T05:13:42.340460Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

235c1b255a727e3ef0ad08ec9c3dbe700b33320dbf35878036b706dfd53f4d19

Aliases

arxiv: 2211.02925 · arxiv_version: 2211.02925v1 · doi: 10.48550/arxiv.2211.02925 · pith_short_12: ENOBWJK2OJ7D · pith_short_16: ENOBWJK2OJ7D54FN · pith_short_8: ENOBWJK2

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/ENOBWJK2OJ7D54FNBDWJYPN6OA \
  | 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: 235c1b255a727e3ef0ad08ec9c3dbe700b33320dbf35878036b706dfd53f4d19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d467d40ce9bf1c3ef5536d5c4e30e76f26224b724fe9e5b28beb21da500db40",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2022-11-05T15:08:47Z",
    "title_canon_sha256": "de9f7b4c66e5ca545b370f9638b7e4bc048a7eda5bced6160addb4e40ed3f33e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.02925",
    "kind": "arxiv",
    "version": 1
  }
}