Pith Number

pith:MGTODWC5

pith:2012:MGTODWC57FUXNJ2DTIBLCDIZCY

not attested not anchored not stored refs pending

Random matrices with equispaced external source

Dong Wang, Tom Claeys

arxiv:1212.3768 v2 · 2012-12-16 · math-ph · math.CA · 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{MGTODWC57FUXNJ2DTIBLCDIZCY}

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	2026-05-18T03:20:09.416234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61a6e1d85df96976a7439a02b10d1916357af88a9a5d5f6b569df48bbd255fd1

Aliases

arxiv: 1212.3768 · arxiv_version: 1212.3768v2 · doi: 10.48550/arxiv.1212.3768 · pith_short_12: MGTODWC57FUX · pith_short_16: MGTODWC57FUXNJ2D · pith_short_8: MGTODWC5

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/MGTODWC57FUXNJ2DTIBLCDIZCY \
  | 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: 61a6e1d85df96976a7439a02b10d1916357af88a9a5d5f6b569df48bbd255fd1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abf9f68bc716384e84f88d050039da2c7a7eaa9021c7ec576fade222bb2b5583",
    "cross_cats_sorted": [
      "math.CA",
      "math.MP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-12-16T09:25:22Z",
    "title_canon_sha256": "bd71160315822c0d2cfcc400379958e3f4dbe2f31acfd55e55c7ea05b8de14d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.3768",
    "kind": "arxiv",
    "version": 2
  }
}