Pith Number

pith:TCS2HNFR

pith:2010:TCS2HNFRLYKJK23BKPDUD2YL4U

not attested not anchored not stored refs pending

Alon's Nullstellensatz for multisets

G\'eza K\'os, Lajos R\'onyai

arxiv:1008.2901 v2 · 2010-08-17 · 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{TCS2HNFRLYKJK23BKPDUD2YL4U}

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	2026-05-18T04:12:32.443086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98a5a3b4b15e14956b6153c741eb0be5004580b84e05c9611f4578ca21811a00

Aliases

arxiv: 1008.2901 · arxiv_version: 1008.2901v2 · doi: 10.48550/arxiv.1008.2901 · pith_short_12: TCS2HNFRLYKJ · pith_short_16: TCS2HNFRLYKJK23B · pith_short_8: TCS2HNFR

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/TCS2HNFRLYKJK23BKPDUD2YL4U \
  | 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: 98a5a3b4b15e14956b6153c741eb0be5004580b84e05c9611f4578ca21811a00

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb36634e698f2ad06c2243631ef13a29f046496ab0f5bfea72803f327081c5c1",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-08-17T14:06:49Z",
    "title_canon_sha256": "4a52b11282437ad588141f3b402190bc55c1ac0203e49d3f672aa1a22213da83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1008.2901",
    "kind": "arxiv",
    "version": 2
  }
}