Pith Number

pith:YYOXROI4

pith:2011:YYOXROI46SAA7ZZLDNWLATRPS3

not attested not anchored not stored refs pending

Some extensions of Alon's Nullstellensatz

G\'eza K\'os, Lajos R\'onyai, Tam\'as M\'esz\'aros

arxiv:1103.4768 v2 · 2011-03-24 · 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{YYOXROI46SAA7ZZLDNWLATRPS3}

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	2026-05-18T04:15:35.940880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c61d78b91cf4800fe72b1b6cb04e2f96fa780f1a0da30dd0b05ced98c5cd9cbb

Aliases

arxiv: 1103.4768 · arxiv_version: 1103.4768v2 · doi: 10.48550/arxiv.1103.4768 · pith_short_12: YYOXROI46SAA · pith_short_16: YYOXROI46SAA7ZZL · pith_short_8: YYOXROI4

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/YYOXROI46SAA7ZZLDNWLATRPS3 \
  | 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: c61d78b91cf4800fe72b1b6cb04e2f96fa780f1a0da30dd0b05ced98c5cd9cbb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de489203e86787533a2753cd6bce53bfea1e9f4b00623f40a453ff06b52d1ee5",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2011-03-24T14:03:20Z",
    "title_canon_sha256": "4a07e3d838acce87fb5de970463876a07be4817bb2c532290a9c087f78f3a5d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4768",
    "kind": "arxiv",
    "version": 2
  }
}