Pith Number

pith:6J6WFXRB

pith:2012:6J6WFXRB3PMWC7L7DLIWXFGXC7

not attested not anchored not stored refs pending

Circular law for random discrete matrices of given row sum

Hoi H. Nguyen, Van Vu

arxiv:1203.5941 v1 · 2012-03-27 · math.CO · 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{6J6WFXRB3PMWC7L7DLIWXFGXC7}

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	2026-05-18T03:59:12.982527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f27d62de21dbd9617d7f1ad16b94d717cd7753383995d12b0f6e45107bd24b5c

Aliases

arxiv: 1203.5941 · arxiv_version: 1203.5941v1 · doi: 10.48550/arxiv.1203.5941 · pith_short_12: 6J6WFXRB3PMW · pith_short_16: 6J6WFXRB3PMWC7L7 · pith_short_8: 6J6WFXRB

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/6J6WFXRB3PMWC7L7DLIWXFGXC7 \
  | 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: f27d62de21dbd9617d7f1ad16b94d717cd7753383995d12b0f6e45107bd24b5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ee3a37d14bc28477098a9fe36b88535fd5bd4f02360ebbd259af74598c8ca832",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-03-27T11:47:32Z",
    "title_canon_sha256": "08fc551934021395a87a3e468e0edc04fed976dacdf14c2c3197f1987466e665"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.5941",
    "kind": "arxiv",
    "version": 1
  }
}