Pith Number

pith:PS7IRUKA

pith:2018:PS7IRUKA4W334VIESLLGPH2UJQ

not attested not anchored not stored refs pending

Generalised Markov numbers

Matty van-Son, Oleg Karpenkov

arxiv:1809.01688 v1 · 2018-09-05 · 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{PS7IRUKA4W334VIESLLGPH2UJQ}

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	2026-05-18T00:06:22.193746Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7cbe88d140e5b7be550492d6679f544c050a5f6ed24834e873f62a21e4c3e068

Aliases

arxiv: 1809.01688 · arxiv_version: 1809.01688v1 · doi: 10.48550/arxiv.1809.01688 · pith_short_12: PS7IRUKA4W33 · pith_short_16: PS7IRUKA4W334VIE · pith_short_8: PS7IRUKA

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/PS7IRUKA4W334VIESLLGPH2UJQ \
  | 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: 7cbe88d140e5b7be550492d6679f544c050a5f6ed24834e873f62a21e4c3e068

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4a945f8ad8b784d8f3c34f64cba37ab6827fb6876a7abe5296930a09f579f6df",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-09-05T18:41:36Z",
    "title_canon_sha256": "d62d83a956566e3171f30400426403bdde327681e8a7fff376c867b183105a80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.01688",
    "kind": "arxiv",
    "version": 1
  }
}