Pith Number

pith:GTJFGNAF

pith:2019:GTJFGNAFJSMEO7DQCQW43UMJ66

not attested not anchored not stored refs pending

Formalizing the Solution to the Cap Set Problem

Johannes H\"olzl, Robert Y. Lewis, Sander R. Dahmen

arxiv:1907.01449 v1 · 2019-07-02 · cs.LO · 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{GTJFGNAFJSMEO7DQCQW43UMJ66}

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	2026-05-17T23:41:40.375132Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34d25334054c98477c70142dcdd189f7aaea59ff97a599648c249252eb99af16

Aliases

arxiv: 1907.01449 · arxiv_version: 1907.01449v1 · doi: 10.48550/arxiv.1907.01449 · pith_short_12: GTJFGNAFJSME · pith_short_16: GTJFGNAFJSMEO7DQ · pith_short_8: GTJFGNAF

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/GTJFGNAFJSMEO7DQCQW43UMJ66 \
  | 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: 34d25334054c98477c70142dcdd189f7aaea59ff97a599648c249252eb99af16

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a6bb1f480804c4060ad7ca65828d7ebcb21b3d984e2ebcebb0192f77e83a42a",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2019-07-02T15:29:31Z",
    "title_canon_sha256": "db57cb42305c96b0386a8648d9672913cd5fde904d85d2fa514891e4a3a1a10f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.01449",
    "kind": "arxiv",
    "version": 1
  }
}