Pith Number

pith:SU3A3U5P

pith:2012:SU3A3U5PFXIVGDBPEMP3X5YVRR

not attested not anchored not stored refs pending

Expanding polynomials over finite fields of large characteristic, and a regularity lemma for definable sets

Terence Tao

arxiv:1211.2894 v4 · 2012-11-13 · math.CO · 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{SU3A3U5PFXIVGDBPEMP3X5YVRR}

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	2026-05-18T03:37:19.987160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95360dd3af2dd1530c2f231fbbf7158c61b1e278befc9eb34363808116fb8cf2

Aliases

arxiv: 1211.2894 · arxiv_version: 1211.2894v4 · doi: 10.48550/arxiv.1211.2894 · pith_short_12: SU3A3U5PFXIV · pith_short_16: SU3A3U5PFXIVGDBP · pith_short_8: SU3A3U5P

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/SU3A3U5PFXIVGDBPEMP3X5YVRR \
  | 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: 95360dd3af2dd1530c2f231fbbf7158c61b1e278befc9eb34363808116fb8cf2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f96d53da85f2433692c8976b71d97edac9f84a06b664eddc540839faca6c6b1",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2012-11-13T05:53:40Z",
    "title_canon_sha256": "560a59815fe932849977ab1668c0ab4f9ff22f7914cfbc7ac4f14111cb3bca6a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.2894",
    "kind": "arxiv",
    "version": 4
  }
}