Pith Number

pith:J6N4UHLG

pith:2010:J6N4UHLG5MCEM6S56PEMTCXA6Q

not attested not anchored not stored refs pending

Counting walks in a quadrant: a unified approach via boundary value problems

Kilian Raschel

arxiv:1003.1362 v3 · 2010-03-06 · math.CO · 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{J6N4UHLG5MCEM6S56PEMTCXA6Q}

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	2026-05-18T03:55:37.698178Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f9bca1d66eb04467a5df3c8c98ae0f40425cfb34742fe2a3d3b2469b407bcb7

Aliases

arxiv: 1003.1362 · arxiv_version: 1003.1362v3 · doi: 10.48550/arxiv.1003.1362 · pith_short_12: J6N4UHLG5MCE · pith_short_16: J6N4UHLG5MCEM6S5 · pith_short_8: J6N4UHLG

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/J6N4UHLG5MCEM6S56PEMTCXA6Q \
  | 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: 4f9bca1d66eb04467a5df3c8c98ae0f40425cfb34742fe2a3d3b2469b407bcb7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0f140879bc740a67c85512b5f351d0e2fbc854024b45a037fb65397e952bea15",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-03-06T08:29:54Z",
    "title_canon_sha256": "31c9546da58ace53601a09cbc26fa006ce12f52dbc9154b941cc8c5f735c40bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1003.1362",
    "kind": "arxiv",
    "version": 3
  }
}