Pith Number

pith:YX5PN5QZ

pith:2016:YX5PN5QZ32DYDTJFUS2EAOKAYV

not attested not anchored not stored refs pending

On the algebraic area of lattice walks and the Hofstadter model

Shuang Wu, Stephane Ouvry, Stephan Wagner

arxiv:1606.03273 v1 · 2016-06-10 · math-ph · cond-mat.stat-mech · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YX5PN5QZ32DYDTJFUS2EAOKAYV}

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	2026-05-18T00:54:36.182676Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c5faf6f619de8781cd25a4b4403940c5668a6190d55cc7d920de4c92050a84ad

Aliases

arxiv: 1606.03273 · arxiv_version: 1606.03273v1 · doi: 10.48550/arxiv.1606.03273 · pith_short_12: YX5PN5QZ32DY · pith_short_16: YX5PN5QZ32DYDTJF · pith_short_8: YX5PN5QZ

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/YX5PN5QZ32DYDTJFUS2EAOKAYV \
  | 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: c5faf6f619de8781cd25a4b4403940c5668a6190d55cc7d920de4c92050a84ad

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d93a74fc72f83adf1a7eb5d16fdb1c4820764745adb9c0de42f3cca58f3085c8",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-06-10T11:19:59Z",
    "title_canon_sha256": "04427fc428ed9499ea2f500df1bea2384605e2c287fbc02234ad0a6243dcbee3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.03273",
    "kind": "arxiv",
    "version": 1
  }
}