Pith Number

pith:3YRYAP6E

pith:2009:3YRYAP6EWDJNA2H4OZL5MDLOSV

not attested not anchored not stored refs pending

Maximum GCD Among Pairs of Random Integers

E. E. Pyle, R. W. R. Darling

arxiv:0911.2660 v1 · 2009-11-13 · math.NT · math.PR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3YRYAP6EWDJNA2H4OZL5MDLOSV}

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	2026-05-18T04:28:28.340149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de23803fc4b0d2d068fc7657d60d6e955a3bcfb7f6543245b2e3c04d61f6e825

Aliases

arxiv: 0911.2660 · arxiv_version: 0911.2660v1 · doi: 10.48550/arxiv.0911.2660 · pith_short_12: 3YRYAP6EWDJN · pith_short_16: 3YRYAP6EWDJNA2H4 · pith_short_8: 3YRYAP6E

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/3YRYAP6EWDJNA2H4OZL5MDLOSV \
  | 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: de23803fc4b0d2d068fc7657d60d6e955a3bcfb7f6543245b2e3c04d61f6e825

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ab7d4694c58debf00315002745df648e4dc79910ecd83a159467bb96500ee5e",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://creativecommons.org/licenses/publicdomain/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-11-13T20:58:51Z",
    "title_canon_sha256": "af13ef25b9f167f5ab94e014b3be91d92fa7bea8971d1afd279a6ec38ba9b12c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.2660",
    "kind": "arxiv",
    "version": 1
  }
}