Pith Number

pith:XPD3N7NB

pith:2010:XPD3N7NBTU6DDY36REL6VEQJHF

not attested not anchored not stored refs pending

An explicit incidence theorem in F_p

Harald Andres Helfgott, Misha Rudnev

arxiv:1001.1980 v2 · 2010-01-12 · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XPD3N7NBTU6DDY36REL6VEQJHF}

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	2026-05-18T03:02:44.469244Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbc7b6fda19d3c31e37e8917ea9209396c28f4882bbed828f66937291e81f9b6

Aliases

arxiv: 1001.1980 · arxiv_version: 1001.1980v2 · doi: 10.48550/arxiv.1001.1980 · pith_short_12: XPD3N7NBTU6D · pith_short_16: XPD3N7NBTU6DDY36 · pith_short_8: XPD3N7NB

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/XPD3N7NBTU6DDY36REL6VEQJHF \
  | 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: bbc7b6fda19d3c31e37e8917ea9209396c28f4882bbed828f66937291e81f9b6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f09263753681f030555b247248aaf36445fc4e8627f78f928fbfcb4d408f5a64",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2010-01-12T19:58:17Z",
    "title_canon_sha256": "fee055fd205d50db51f2c1d5fa535788f45f95cff72977cf24260f475cd63641"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1001.1980",
    "kind": "arxiv",
    "version": 2
  }
}