Pith Number

pith:6IOIRY24

pith:2014:6IOIRY2435SSNFRXTHNA6VUCEL

not attested not anchored not stored refs pending

Affine extractors over large fields with exponential error

Ethan Leeman, Jean Bourgain, Zeev Dvir

arxiv:1401.6189 v1 · 2014-01-23 · 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{6IOIRY2435SSNFRXTHNA6VUCEL}

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	2026-05-18T03:01:12.948992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f21c88e35cdf6526963799da0f568222c6df4321a952cbe51fe4158faf0352aa

Aliases

arxiv: 1401.6189 · arxiv_version: 1401.6189v1 · doi: 10.48550/arxiv.1401.6189 · pith_short_12: 6IOIRY2435SS · pith_short_16: 6IOIRY2435SSNFRX · pith_short_8: 6IOIRY24

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/6IOIRY2435SSNFRXTHNA6VUCEL \
  | 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: f21c88e35cdf6526963799da0f568222c6df4321a952cbe51fe4158faf0352aa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ce27d64074b6eeba71cd6db7b897db47f24a9fbc52f35939f4c1331b5a4741e",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2014-01-23T21:15:16Z",
    "title_canon_sha256": "34568b3597fe48de43bd014b44b68768a7b076601e28edf842db7be4bfb32147"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.6189",
    "kind": "arxiv",
    "version": 1
  }
}