Pith Number

pith:KGUTS5O6

pith:2000:KGUTS5O622UNDHBCQFGJKIMBXJ

not attested not anchored not stored refs pending

Non-intersecting Paths, Random Tilings and Random Matrices

Kurt Johansson

arxiv:math/0011250 v1 · 2000-11-29 · math.PR · math-ph · math.CO · 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{KGUTS5O622UNDHBCQFGJKIMBXJ}

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	2026-07-04T14:34:57.126147Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51a93975ded6a8d19c22814c952181ba7c8ff5396162f884a47221d9c6b22809

Aliases

arxiv: math/0011250 · arxiv_version: math/0011250v1 · doi: 10.48550/arxiv.math/0011250 · pith_short_12: KGUTS5O622UN · pith_short_16: KGUTS5O622UNDHBC · pith_short_8: KGUTS5O6

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/KGUTS5O622UNDHBCQFGJKIMBXJ \
  | 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: 51a93975ded6a8d19c22814c952181ba7c8ff5396162f884a47221d9c6b22809

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "30eb9e111b8ad40bdef066da3c3b25fd3cfc0a6f19348387414b7c4495ea1723",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "",
    "primary_cat": "math.PR",
    "submitted_at": "2000-11-29T11:09:00Z",
    "title_canon_sha256": "52e771622016bb738a91fd96c7fbf0ffc233d15eef5bac1bceb3d4efcfad0ce8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0011250",
    "kind": "arxiv",
    "version": 1
  }
}