Pith Number

pith:6MCMYF5Z

pith:2014:6MCMYF5ZZEGVJD2G6YSHK3BOC2

not attested not anchored not stored refs pending

Why all rings should have a 1

Bjorn Poonen

arxiv:1404.0135 v1 · 2014-04-01 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6MCMYF5ZZEGVJD2G6YSHK3BOC2}

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	2026-05-18T02:55:05.066267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f304cc17b9c90d548f46f624756c2e16ba39c4fb7ef77af292839ec8203f1438

Aliases

arxiv: 1404.0135 · arxiv_version: 1404.0135v1 · doi: 10.48550/arxiv.1404.0135 · pith_short_12: 6MCMYF5ZZEGV · pith_short_16: 6MCMYF5ZZEGVJD2G · pith_short_8: 6MCMYF5Z

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/6MCMYF5ZZEGVJD2G6YSHK3BOC2 \
  | 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: f304cc17b9c90d548f46f624756c2e16ba39c4fb7ef77af292839ec8203f1438

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "871f96e05d9ceabf5886a79691fa870d5452fe5768b310e0bb83cd9f4ec38a68",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-04-01T06:05:47Z",
    "title_canon_sha256": "c59272847eaec281e88cd66dd2b5b19259fa911adfbb7c8bbb9c2d9b75700e2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.0135",
    "kind": "arxiv",
    "version": 1
  }
}