Pith Number

pith:L5TMY7HF

pith:2026:L5TMY7HFNARTBZUJ2ADS7YSBYN

not attested not anchored not stored refs pending

On a question of Gowers related to Littlewood's conjecture

Frederik Broucke, M\'at\'e Matolcsi, Szil\'ard Gy. R\'ev\'esz

arxiv:2607.27780 v1 · 2026-07-30 · 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{L5TMY7HFNARTBZUJ2ADS7YSBYN}

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	2026-07-31T01:30:41.968321Z
Builder	pith-number-builder-2026-05-17-v1
Signature	unsigned_v0
Schema	pith-number/v1.0

Canonical hash

5f66cc7ce5682330e689d0072fe241c37b11baa65a23854786be39d0923aad65

Aliases

arxiv: 2607.27780 · arxiv_version: 2607.27780v1 · doi: 10.48550/arxiv.2607.27780 · pith_short_12: L5TMY7HFNART · pith_short_16: L5TMY7HFNARTBZUJ · pith_short_8: L5TMY7HF

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/L5TMY7HFNARTBZUJ2ADS7YSBYN \
  | 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: 5f66cc7ce5682330e689d0072fe241c37b11baa65a23854786be39d0923aad65

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "058c5059ff860e680e59df5b6374cd520c8c8d2787d718069cdb225d80314c1a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-30T07:11:16Z",
    "title_canon_sha256": "24a7612a14b1715c59de07db771efae386c5e63a95c066e013eedcdbd756fa33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.27780",
    "kind": "arxiv",
    "version": 1
  }
}