Pith Number

pith:B2SN2S4K

pith:2017:B2SN2S4K7BWSTBYB2PU7XE4IB4

not attested not anchored not stored refs pending

Matrix product ensembles of Hermite-type and the hyperbolic Harish-Chandra-Itzykson-Zuber integral

Dang-Zheng Liu, J. R. Ipsen, P. J. Forrester

arxiv:1702.07100 v2 · 2017-02-23 · 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{B2SN2S4K7BWSTBYB2PU7XE4IB4}

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	2026-05-18T00:16:34.003377Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ea4dd4b8af86d298701d3e9fb93880f24a1071689c90f7a5dc2eb3aa80c02d3

Aliases

arxiv: 1702.07100 · arxiv_version: 1702.07100v2 · doi: 10.48550/arxiv.1702.07100 · pith_short_12: B2SN2S4K7BWS · pith_short_16: B2SN2S4K7BWSTBYB · pith_short_8: B2SN2S4K

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/B2SN2S4K7BWSTBYB2PU7XE4IB4 \
  | 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: 0ea4dd4b8af86d298701d3e9fb93880f24a1071689c90f7a5dc2eb3aa80c02d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db59865625afb196a6c413419965302c1b93151a73b3b6f1700068dd6c87e4f4",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-02-23T05:22:57Z",
    "title_canon_sha256": "f048105f4eca4a851c68770c69a84e7845bae77e5ec50a20df66f1d6ebd7220d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1702.07100",
    "kind": "arxiv",
    "version": 2
  }
}