Pith Number

pith:XM4V3SUR

pith:2013:XM4V3SUR6HZD7IPQGPER564VBR

not attested not anchored not stored refs pending

An incidence conjecture of Bourgain over fields of positive characteristic

Jordan S. Ellenberg, Marton Hablicsek

arxiv:1311.1479 v1 · 2013-11-06 · math.CO · math.AG · 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{XM4V3SUR6HZD7IPQGPER564VBR}

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	2026-05-18T03:07:53.217708Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb395dca91f1f23fa1f033c91efb950c6e45b09d381b6eb280748822e8bcb550

Aliases

arxiv: 1311.1479 · arxiv_version: 1311.1479v1 · doi: 10.48550/arxiv.1311.1479 · pith_short_12: XM4V3SUR6HZD · pith_short_16: XM4V3SUR6HZD7IPQ · pith_short_8: XM4V3SUR

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/XM4V3SUR6HZD7IPQGPER564VBR \
  | 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: bb395dca91f1f23fa1f033c91efb950c6e45b09d381b6eb280748822e8bcb550

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c92cf850b08bdd7f8bc967f8e4f13c9a61eec5f55f8f50165bd5ba3c6bd4ba07",
    "cross_cats_sorted": [
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2013-11-06T19:16:36Z",
    "title_canon_sha256": "76be9448f80c9d38f8a1312955330f7de775638bec01967f655b7d51d44d52ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1479",
    "kind": "arxiv",
    "version": 1
  }
}