Pith Number

pith:PZPFUO4U

pith:2013:PZPFUO4UZNJ6NTVBLUMUFF35MW

not attested not anchored not stored refs pending

From Alternating Sign Matrices to the Gaussian Unitary Ensemble

Vadim Gorin

arxiv:1306.6347 v2 · 2013-06-26 · 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{PZPFUO4UZNJ6NTVBLUMUFF35MW}

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	2026-05-18T01:49:07.401864Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e5e5a3b94cb53e6cea15d1942977d65b1c1fb373f23479fe992d3a1555cfa39

Aliases

arxiv: 1306.6347 · arxiv_version: 1306.6347v2 · doi: 10.48550/arxiv.1306.6347 · pith_short_12: PZPFUO4UZNJ6 · pith_short_16: PZPFUO4UZNJ6NTVB · pith_short_8: PZPFUO4U

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/PZPFUO4UZNJ6NTVBLUMUFF35MW \
  | 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: 7e5e5a3b94cb53e6cea15d1942977d65b1c1fb373f23479fe992d3a1555cfa39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29641931ef715d5952928fc24aa9290b84933655a59559d3a7fd2c26d3d51a4d",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-06-26T20:16:34Z",
    "title_canon_sha256": "4aa08a0cf2f2de3f88053c809c9b6c30f5c7cd2391d22e5ee0c600d580fb16d9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.6347",
    "kind": "arxiv",
    "version": 2
  }
}