Pith Number

pith:4V4CYW7N

pith:2017:4V4CYW7NBMDH2HOZVHEJDRRUEU

not attested not anchored not stored refs pending

On the nature of the generating series of walks in the quarter plane

Charlotte Hardouin, Julien Roques, Michael F. Singer, Thomas Dreyfus

arxiv:1702.04696 v2 · 2017-02-15 · 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{4V4CYW7NBMDH2HOZVHEJDRRUEU}

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	2026-05-17T23:53:01.589090Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5782c5bed0b067d1dd9a9c891c634250fa6a83531cbc1ef02d69f2cf2c7d5cf

Aliases

arxiv: 1702.04696 · arxiv_version: 1702.04696v2 · doi: 10.48550/arxiv.1702.04696 · pith_short_12: 4V4CYW7NBMDH · pith_short_16: 4V4CYW7NBMDH2HOZ · pith_short_8: 4V4CYW7N

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/4V4CYW7NBMDH2HOZVHEJDRRUEU \
  | 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: e5782c5bed0b067d1dd9a9c891c634250fa6a83531cbc1ef02d69f2cf2c7d5cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "081b7476f570c5a2a1dfbd052e8d9cbd693792e1a862298da1c32d2ab9eb7fd6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-02-15T18:03:33Z",
    "title_canon_sha256": "4c621c1924fb293a21957c96a2463975bd2f4077adf62c962d923feabfc7d877"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.04696",
    "kind": "arxiv",
    "version": 2
  }
}