Pith Number

pith:7MPJVHD4

pith:2012:7MPJVHD44ENB5VAQB5T46AJJMY

not attested not anchored not stored refs pending

Quantitative equidistribution for the solutions of systems of sparse polynomial equations

Andr\'e Galligo, Carlos D'Andrea, Mart\'in Sombra

arxiv:1203.1843 v3 · 2012-03-08 · math.CV · math.AC · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7MPJVHD44ENB5VAQB5T46AJJMY}

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	2026-05-18T02:45:48.854836Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fb1e9a9c7ce11a1ed4100f67cf0129663ef3e9890cc0a7645d10c0974b9a0c68

Aliases

arxiv: 1203.1843 · arxiv_version: 1203.1843v3 · doi: 10.48550/arxiv.1203.1843 · pith_short_12: 7MPJVHD44ENB · pith_short_16: 7MPJVHD44ENB5VAQ · pith_short_8: 7MPJVHD4

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/7MPJVHD44ENB5VAQB5T46AJJMY \
  | 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: fb1e9a9c7ce11a1ed4100f67cf0129663ef3e9890cc0a7645d10c0974b9a0c68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9cff7fee6c2506e2b6a2727fb312e7685d0ba03041826e3a79fdfc006ce9d67",
    "cross_cats_sorted": [
      "math.AC",
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2012-03-08T16:32:26Z",
    "title_canon_sha256": "507f3d837615c22a133ec1a007fe88a5df7fe3877efffdd61524db5d0dbdfcb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1843",
    "kind": "arxiv",
    "version": 3
  }
}