Pith Number

pith:7W4US26A

pith:2012:7W4US26AGETPV2Y466GIPZWJ5H

not attested not anchored not stored refs pending

Quantitative Combinatorial Nullstellensatz

Uwe Schauz

arxiv:1212.5694 v1 · 2012-12-22 · math.CO · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7W4US26AGETPV2Y466GIPZWJ5H}

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	2026-05-18T03:37:51.720185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fdb9496bc03126faeb1cf78c87e6c9e9c21be2205e9b1cabc7184a548136c510

Aliases

arxiv: 1212.5694 · arxiv_version: 1212.5694v1 · doi: 10.48550/arxiv.1212.5694 · pith_short_12: 7W4US26AGETP · pith_short_16: 7W4US26AGETPV2Y4 · pith_short_8: 7W4US26A

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/7W4US26AGETPV2Y466GIPZWJ5H \
  | 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: fdb9496bc03126faeb1cf78c87e6c9e9c21be2205e9b1cabc7184a548136c510

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "54b6206cccaf9482553101c4823d2db7eedeacf70bc5671e3ab9c75b0e93c978",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-12-22T14:08:11Z",
    "title_canon_sha256": "68611d65ec52ddebb4fde96c3c18a2a6c7e8e39e6071157557c49420c22ca4e5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.5694",
    "kind": "arxiv",
    "version": 1
  }
}