Pith Number

pith:57GAH32J

pith:2018:57GAH32JWRKHYEAX5WGGUDDSAE

not attested not anchored not stored refs pending

An optimal bound on the solution sets of one-variable word equations and its consequences

Aleksi Saarela, Dirk Nowotka

arxiv:1805.09535 v1 · 2018-05-24 · 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{57GAH32JWRKHYEAX5WGGUDDSAE}

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	2026-05-18T00:15:03.645687Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efcc03ef49b4547c1017ed8c6a0c720115906ca12c255fd081b5f48af14ec8f3

Aliases

arxiv: 1805.09535 · arxiv_version: 1805.09535v1 · doi: 10.48550/arxiv.1805.09535 · pith_short_12: 57GAH32JWRKH · pith_short_16: 57GAH32JWRKHYEAX · pith_short_8: 57GAH32J

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/57GAH32JWRKHYEAX5WGGUDDSAE \
  | 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: efcc03ef49b4547c1017ed8c6a0c720115906ca12c255fd081b5f48af14ec8f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7355b958ca846931bb9f4b120955738863c2c8458f2f316d84e75109a8c19ee7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-05-24T07:49:35Z",
    "title_canon_sha256": "5d9e586858064bf8b2a52085599fc83e858731671051142fb04871301083e987"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.09535",
    "kind": "arxiv",
    "version": 1
  }
}