Pith Number

pith:35RNMGWC

pith:2011:35RNMGWCKWF225DFMUHHMMJGJB

not attested not anchored not stored refs pending

The compensation approach for walks with small steps in the quarter plane

Ivo J.B.F. Adan, Johan S.H. van Leeuwaarden, Kilian Raschel

arxiv:1101.0804 v2 · 2011-01-04 · 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{35RNMGWCKWF225DFMUHHMMJGJB}

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	2026-05-18T02:23:05.516851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

df62d61ac2558bad7465650e7631264872fc2bb896230d2afdd8eaea5046a4aa

Aliases

arxiv: 1101.0804 · arxiv_version: 1101.0804v2 · doi: 10.48550/arxiv.1101.0804 · pith_short_12: 35RNMGWCKWF2 · pith_short_16: 35RNMGWCKWF225DF · pith_short_8: 35RNMGWC

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/35RNMGWCKWF225DFMUHHMMJGJB \
  | 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: df62d61ac2558bad7465650e7631264872fc2bb896230d2afdd8eaea5046a4aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bbad0d3e7b4e89e6b39a8ce7c0261749f13b8a1762f52daaef2ca2ee43dcff34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-01-04T20:28:53Z",
    "title_canon_sha256": "4fcf0ad3c354cc1a1b41524a7f68804cc690761aaa9ea09bf042a17b7e3becca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0804",
    "kind": "arxiv",
    "version": 2
  }
}