Pith Number

pith:L4PTY4A7

pith:2018:L4PTY4A75242XCRJUJDEQUDOWG

not attested not anchored not stored refs pending

Fox H-kernel and $\theta$-deformation of the Cauchy two-matrix model and Bures ensemble

Peter J Forrester, Shi-Hao Li

arxiv:1811.03183 v1 · 2018-11-07 · math-ph · 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{L4PTY4A75242XCRJUJDEQUDOWG}

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	2026-05-18T00:01:18.903001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5f1f3c701feeb9ab8a29a24648506eb1932afc16c2c987847bb7725add62dbb8

Aliases

arxiv: 1811.03183 · arxiv_version: 1811.03183v1 · doi: 10.48550/arxiv.1811.03183 · pith_short_12: L4PTY4A75242 · pith_short_16: L4PTY4A75242XCRJ · pith_short_8: L4PTY4A7

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/L4PTY4A75242XCRJUJDEQUDOWG \
  | 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: 5f1f3c701feeb9ab8a29a24648506eb1932afc16c2c987847bb7725add62dbb8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "da3c3132f375f5d6f14f111dd4577f53b1ce7046392dab8551782ee55169666b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-11-07T23:28:31Z",
    "title_canon_sha256": "11ca126308fc9617d1e9205d10109ad5ea479ff3425d62c22af2563a26c2dba2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.03183",
    "kind": "arxiv",
    "version": 1
  }
}