Pith Number

pith:4TODPOPS

pith:2014:4TODPOPSYVTWHNP6G2IXY6IK5C

not attested not anchored not stored refs pending

Combinatorial Nullstellensatz modulo prime powers and the Parity Argument

L\'aszl\'o Varga

arxiv:1402.4422 v1 · 2014-02-18 · math.CO · cs.CC · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4TODPOPSYVTWHNP6G2IXY6IK5C}

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	2026-05-18T02:58:43.953089Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4dc37b9f2c56763b5fe36917c790ae8b4c5c99f22343fe62c669e6a4915f5b5

Aliases

arxiv: 1402.4422 · arxiv_version: 1402.4422v1 · doi: 10.48550/arxiv.1402.4422 · pith_short_12: 4TODPOPSYVTW · pith_short_16: 4TODPOPSYVTWHNP6 · pith_short_8: 4TODPOPS

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/4TODPOPSYVTWHNP6G2IXY6IK5C \
  | 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: e4dc37b9f2c56763b5fe36917c790ae8b4c5c99f22343fe62c669e6a4915f5b5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2d1a77bcc4eb8009160c939dbbd4aa34efc02760023d42bbe98501aa78c75681",
    "cross_cats_sorted": [
      "cs.CC",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-02-18T18:01:15Z",
    "title_canon_sha256": "fe2e28137713ed18b071e30d7b4be0c64f764175cce373e0c0f170465ccf9015"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.4422",
    "kind": "arxiv",
    "version": 1
  }
}