Pith Number

pith:4CCJBSUC

pith:2011:4CCJBSUC4GCSZIRBSMYJS6XYH3

not attested not anchored not stored refs pending

Large N expansions and Painlev\'e hierarchies in the Hermitian matrix model

Elena Medina, Gabriel \'Alvarez, Luis Mart\'inez Alonso

arxiv:1106.0593 v1 · 2011-06-03 · 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{4CCJBSUC4GCSZIRBSMYJS6XYH3}

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	2026-05-18T04:20:12.683443Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e08490ca82e1852ca2219330997af83ecdf34fd2d5742e745b8390f7fb6cee9b

Aliases

arxiv: 1106.0593 · arxiv_version: 1106.0593v1 · doi: 10.48550/arxiv.1106.0593 · pith_short_12: 4CCJBSUC4GCS · pith_short_16: 4CCJBSUC4GCSZIRB · pith_short_8: 4CCJBSUC

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/4CCJBSUC4GCSZIRBSMYJS6XYH3 \
  | 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: e08490ca82e1852ca2219330997af83ecdf34fd2d5742e745b8390f7fb6cee9b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ec4a05eeae3bbb9cfde196146b0462e59bd6c319d384390c69452cbbe6e80592",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-06-03T09:07:44Z",
    "title_canon_sha256": "17e8a185dfaa7805a64551783b33358055275c0b13e6bfee5785fc1d9b1b4dc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.0593",
    "kind": "arxiv",
    "version": 1
  }
}