Pith Number

pith:4DOL3FRF

pith:2005:4DOL3FRFFZN34TURQXWASIJZDS

not attested not anchored not stored refs pending

Limit shapes and the complex burgers equation

Andrei Okounkov, Richard Kenyon

arxiv:math-ph/0507007 v3 · 2005-07-01 · math-ph · math.MP · 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{4DOL3FRFFZN34TURQXWASIJZDS}

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

Domino Tilings of the Aztec Diamond in Random Environment and Schur Generating Functions

Receipt and verification

First computed	2026-07-04T14:59:59.099047Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e0dcbd96252e5bbe4e9185ec0921391cb11521798abf3fd96f2dcf830cfc3acc

Aliases

arxiv: math-ph/0507007 · arxiv_version: math-ph/0507007v3 · doi: 10.48550/arxiv.math-ph/0507007 · pith_short_12: 4DOL3FRFFZN3 · pith_short_16: 4DOL3FRFFZN34TUR · pith_short_8: 4DOL3FRF

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/4DOL3FRFFZN34TURQXWASIJZDS \
  | 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: e0dcbd96252e5bbe4e9185ec0921391cb11521798abf3fd96f2dcf830cfc3acc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "467e6dd03e4fd8d7f049871872bac7b6819449b4b21db61fd281ef23851d9ba3",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math-ph",
    "submitted_at": "2005-07-01T20:31:12Z",
    "title_canon_sha256": "bf3d4f91330bc08ad8e421c759b7ba6854613b639e294c242601614283e58b38"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0507007",
    "kind": "arxiv",
    "version": 3
  }
}