Pith Number

pith:Q32EZP3V

pith:2021:Q32EZP3VZWUO3NDP3ADHMHHJP7

not attested not anchored not stored refs pending

Sharp Effective Finite-Field Nullstellensatz

Guy Moshkovitz, Jeffery Yu

arxiv:2111.09305 v3 · 2021-11-17 · math.CO · cs.CC · 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{Q32EZP3VZWUO3NDP3ADHMHHJP7}

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	2026-07-05T04:56:33.889655Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86f44cbf75cda8edb46fd806761ce97fd0b5ba23fa3b324cfdc3e03463dafae2

Aliases

arxiv: 2111.09305 · arxiv_version: 2111.09305v3 · doi: 10.48550/arxiv.2111.09305 · pith_short_12: Q32EZP3VZWUO · pith_short_16: Q32EZP3VZWUO3NDP · pith_short_8: Q32EZP3V

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/Q32EZP3VZWUO3NDP3ADHMHHJP7 \
  | 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: 86f44cbf75cda8edb46fd806761ce97fd0b5ba23fa3b324cfdc3e03463dafae2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf837d96e5f5e877d304b7c996da57ae38a9dfe8b0d04de368904e32b1af3832",
    "cross_cats_sorted": [
      "cs.CC",
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2021-11-17T18:57:13Z",
    "title_canon_sha256": "ef2e24f5510c0383b56dd8679162d19a98166b052dbdcb96d61f7c4f63558101"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.09305",
    "kind": "arxiv",
    "version": 3
  }
}