Pith Number

pith:NG2KYGNZ

pith:2019:NG2KYGNZ5345URAZXDAYNTHBF6

not attested not anchored not stored refs pending

Reducing the number of equations defining a subset of the $n$-space over a finite field

Stefan Bara\'nczuk

arxiv:1906.11174 v2 · 2019-06-26 · 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{NG2KYGNZ5345URAZXDAYNTHBF6}

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	2026-07-05T04:17:01.976418Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69b4ac19b9eef9da4419b8c186cce12fb5ecb4b50dc184bcfd8c5b6d9cdfe668

Aliases

arxiv: 1906.11174 · arxiv_version: 1906.11174v2 · doi: 10.48550/arxiv.1906.11174 · pith_short_12: NG2KYGNZ5345 · pith_short_16: NG2KYGNZ5345URAZ · pith_short_8: NG2KYGNZ

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/NG2KYGNZ5345URAZXDAYNTHBF6 \
  | 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: 69b4ac19b9eef9da4419b8c186cce12fb5ecb4b50dc184bcfd8c5b6d9cdfe668

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9044fa2fc077a0bc4b557f931302d3d9af7b130d19614196440320fd9661ed3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-06-26T15:42:26Z",
    "title_canon_sha256": "9320b5a4897990b226308650d0962ec1152cfcd8169ed78326c9e0aa432e2061"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.11174",
    "kind": "arxiv",
    "version": 2
  }
}