Pith Number

pith:ZR4HJU3N

pith:2017:ZR4HJU3NTFFHFUVLCT3N7UR5MC

not attested not anchored not stored refs pending

Orthogonal and symplectic Harish-Chandra integrals and matrix product ensembles

Dang-Zheng Liu, Jesper R. Ipsen, Lun Zhang, Peter J. Forrester

arxiv:1711.10691 v1 · 2017-11-29 · 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{ZR4HJU3NTFFHFUVLCT3N7UR5MC}

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	2026-05-18T00:29:17.243849Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc7874d36d994a72d2ab14f6dfd23d60b6c0e886bbfce937ccc7bee07b37f998

Aliases

arxiv: 1711.10691 · arxiv_version: 1711.10691v1 · doi: 10.48550/arxiv.1711.10691 · pith_short_12: ZR4HJU3NTFFH · pith_short_16: ZR4HJU3NTFFHFUVL · pith_short_8: ZR4HJU3N

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/ZR4HJU3NTFFHFUVLCT3N7UR5MC \
  | 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: cc7874d36d994a72d2ab14f6dfd23d60b6c0e886bbfce937ccc7bee07b37f998

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9b0ea927355f26cd2d5c865947bdc7a1c4b476a2bc1857bed8d4ff255069940",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-11-29T06:02:45Z",
    "title_canon_sha256": "34de519e3c8a1f2cfb3feb48f3c31b982b757616e15b214a63fdaaea701cfa51"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.10691",
    "kind": "arxiv",
    "version": 1
  }
}