Pith Number

pith:MDXBNOBB

pith:2013:MDXBNOBB7QZNZQG3VJPIXUZOXG

not attested not anchored not stored refs pending

General beta Jacobi corners process and the Gaussian Free Field

Alexei Borodin, Vadim Gorin

arxiv:1305.3627 v4 · 2013-05-15 · math.PR · math-ph · math.MP · math.RT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MDXBNOBB7QZNZQG3VJPIXUZOXG}

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	2026-05-18T00:46:25.289069Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60ee16b821fc32dcc0dbaa5e8bd32eb9ba3b1f0ac65194cdfe7c29932f610e34

Aliases

arxiv: 1305.3627 · arxiv_version: 1305.3627v4 · doi: 10.48550/arxiv.1305.3627 · pith_short_12: MDXBNOBB7QZN · pith_short_16: MDXBNOBB7QZNZQG3 · pith_short_8: MDXBNOBB

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/MDXBNOBB7QZNZQG3VJPIXUZOXG \
  | 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: 60ee16b821fc32dcc0dbaa5e8bd32eb9ba3b1f0ac65194cdfe7c29932f610e34

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "692c4ca263e9a3921a496eb164d3982e40c9711d4190bd80e7ae1efd2c44ac80",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2013-05-15T20:20:44Z",
    "title_canon_sha256": "988a056589d45ece5dda84cc88a8715642bec9da4eeaacf96190f672b67d9e43"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3627",
    "kind": "arxiv",
    "version": 4
  }
}