Pith Number

pith:EZ3IEIYN

pith:2025:EZ3IEIYNV7LEBNWHNTXSLHTFZB

not attested not anchored not stored refs pending

From Weingarten calculus for real Grassmannians to deformations of monotone Hurwitz numbers and Jucys-Murphy elements

Norman Do, Xavier Coulter

arxiv:2506.04002 v1 · 2025-06-04 · math.CO · math-ph · math.MP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EZ3IEIYNV7LEBNWHNTXSLHTFZB}

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

A refined twist on Hurwitz numbers

Receipt and verification

First computed	2026-07-05T11:15:55.107500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

267682230dafd640b6c76cef259e65c86d1060b67bede149c6fd13e1b10434d5

Aliases

arxiv: 2506.04002 · arxiv_version: 2506.04002v1 · doi: 10.48550/arxiv.2506.04002 · pith_short_12: EZ3IEIYNV7LE · pith_short_16: EZ3IEIYNV7LEBNWH · pith_short_8: EZ3IEIYN

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/EZ3IEIYNV7LEBNWHNTXSLHTFZB \
  | 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: 267682230dafd640b6c76cef259e65c86d1060b67bede149c6fd13e1b10434d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53573551ae6d030aa1df755d84b789b5449bc15d0b73c3fa5105d00a2894572a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-06-04T14:31:32Z",
    "title_canon_sha256": "e6740284a1c28f11dc62e6498d619490c41c49c9781dc2137e0e52178cab671a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.04002",
    "kind": "arxiv",
    "version": 1
  }
}