Pith Number

pith:7X5EJE32

pith:2012:7X5EJE326S4HZ77CYBJ7NYQGJT

not attested not anchored not stored refs pending

A case of mathematical eponymy: the Vandermonde determinant

Bernard Ycart (LJK)

arxiv:1204.4716 v1 · 2012-04-20 · math.PR · math.HO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7X5EJE326S4HZ77CYBJ7NYQGJT}

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	2026-05-18T03:04:14.075647Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdfa44937af4b87cffe2c053f6e2064ccd7c6041310cfcdaa0ae89f94db51769

Aliases

arxiv: 1204.4716 · arxiv_version: 1204.4716v1 · doi: 10.48550/arxiv.1204.4716 · pith_short_12: 7X5EJE326S4H · pith_short_16: 7X5EJE326S4HZ77C · pith_short_8: 7X5EJE32

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/7X5EJE326S4HZ77CYBJ7NYQGJT \
  | 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: fdfa44937af4b87cffe2c053f6e2064ccd7c6041310cfcdaa0ae89f94db51769

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d3d9e85c84926b454b522fd99b53f9f974a6e41a56f0c56113c33da8f9ec47e4",
    "cross_cats_sorted": [
      "math.HO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2012-04-20T19:53:16Z",
    "title_canon_sha256": "c5322d47b7fe400b854ee387b2ee95a8fbecb58b4268efe524a54324f8f368ad"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.4716",
    "kind": "arxiv",
    "version": 1
  }
}