Pith Number

pith:DNM4ZV5X

pith:2012:DNM4ZV5XIF74BWTZJL5HM675G5

not attested not anchored not stored refs pending

Representing the GCD as linear combination in non-PID rings

G\'eza K\'os

arxiv:1206.7005 v1 · 2012-06-29 · math.AC · 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{DNM4ZV5XIF74BWTZJL5HM675G5}

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	2026-05-18T03:52:13.257088Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1b59ccd7b7417fc0da794afa767bfd374e981122d852cc7b855875fbba8e5b82

Aliases

arxiv: 1206.7005 · arxiv_version: 1206.7005v1 · doi: 10.48550/arxiv.1206.7005 · pith_short_12: DNM4ZV5XIF74 · pith_short_16: DNM4ZV5XIF74BWTZ · pith_short_8: DNM4ZV5X

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/DNM4ZV5XIF74BWTZJL5HM675G5 \
  | 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: 1b59ccd7b7417fc0da794afa767bfd374e981122d852cc7b855875fbba8e5b82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3397d4d5ddce4424b0d34ce187469a9a53ee8853036aafed2135a40c4054dab8",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2012-06-29T12:46:41Z",
    "title_canon_sha256": "69f4dfc45a6a55cb3f28a29c0646bc59da721c79658aedc245a932991acc89eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.7005",
    "kind": "arxiv",
    "version": 1
  }
}