Pith Number

pith:6BR3ZJLS

pith:2015:6BR3ZJLSEZQLR6LSDEIZYHMHDW

not attested not anchored not stored refs pending

Random matrix ensembles with singularities and a hierarchy of Painlev\'e III equations

Francesco Mezzadri, Max R. Atkin, Tom Claeys

arxiv:1501.04475 v1 · 2015-01-19 · math-ph · math.CA · math.CV · 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{6BR3ZJLSEZQLR6LSDEIZYHMHDW}

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	2026-05-18T02:29:08.890479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f063bca5722660b8f97219119c1d871dab1c679e68d442c421af99122caf45b4

Aliases

arxiv: 1501.04475 · arxiv_version: 1501.04475v1 · doi: 10.48550/arxiv.1501.04475 · pith_short_12: 6BR3ZJLSEZQL · pith_short_16: 6BR3ZJLSEZQLR6LS · pith_short_8: 6BR3ZJLS

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/6BR3ZJLSEZQLR6LSDEIZYHMHDW \
  | 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: f063bca5722660b8f97219119c1d871dab1c679e68d442c421af99122caf45b4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf183af6dec2e29cd5ff5648d226abb0ed128abb87d95ed535554febb9fec5af",
    "cross_cats_sorted": [
      "math.CA",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-01-19T12:37:57Z",
    "title_canon_sha256": "9dda8b0d6886c099b9540925d96c4846fa29d81017bcd2cfafd0ecbc356740cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.04475",
    "kind": "arxiv",
    "version": 1
  }
}