Pith Number

pith:3UUITVZG

pith:1999:3UUITVZGXK6FAHSFRMIO43RDEV

not attested not anchored not stored refs pending

Infinite wedge and random partitions

Andrei Okounkov

arxiv:math/9907127 v3 · 1999-07-20 · math.RT · math-ph · math.CO · 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{3UUITVZGXK6FAHSFRMIO43RDEV}

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

2 papers in Pith

A Two-Color Lift of the Shifted $t$-Schur Measure

Multicritical Scaling Limit of Shifted Schur Measure

Receipt and verification

First computed	2026-07-04T14:41:14.686732Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd2889d726babc501e458b10ee6e23255136538906892b84f5abe7e6c4680c0f

Aliases

arxiv: math/9907127 · arxiv_version: math/9907127v3 · doi: 10.48550/arxiv.math/9907127 · pith_short_12: 3UUITVZGXK6F · pith_short_16: 3UUITVZGXK6FAHSF · pith_short_8: 3UUITVZG

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/3UUITVZGXK6FAHSFRMIO43RDEV \
  | 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: dd2889d726babc501e458b10ee6e23255136538906892b84f5abe7e6c4680c0f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bba4ec294471b6fde072f37780210fed3c0ab37d33c66e1f717c68567d01a81e",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP",
      "math.PR"
    ],
    "license": "",
    "primary_cat": "math.RT",
    "submitted_at": "1999-07-20T22:16:33Z",
    "title_canon_sha256": "68f9682129ab1aa91f8a9d89020a3a240742593621794038026cde979a371cca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9907127",
    "kind": "arxiv",
    "version": 3
  }
}