Pith Number

pith:C63GXAUF

pith:2015:C63GXAUFK4LHDQUCKTHO47VCHF

not attested not anchored not stored refs pending

Monoid varieties with extreme properties

Edmond W. H. Lee, Marcel Jackson

arxiv:1511.08239 v4 · 2015-11-25 · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{C63GXAUFK4LHDQUCKTHO47VCHF}

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	2026-05-18T00:25:35.060081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

17b66b8285571671c28254ceee7ea2395d518c2f3468adbbe28b4a4d930dd400

Aliases

arxiv: 1511.08239 · arxiv_version: 1511.08239v4 · doi: 10.48550/arxiv.1511.08239 · pith_short_12: C63GXAUFK4LH · pith_short_16: C63GXAUFK4LHDQUC · pith_short_8: C63GXAUF

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/C63GXAUFK4LHDQUCKTHO47VCHF \
  | 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: 17b66b8285571671c28254ceee7ea2395d518c2f3468adbbe28b4a4d930dd400

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8270b632d965dcf9819bf31b06a9748cc9bad2ee06606f67d13d938affc1b6c4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-11-25T21:53:57Z",
    "title_canon_sha256": "d6d9cff778b90c152ebfa54983dd744feb72a0c9f3b35bc29ae5381f2f3342a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.08239",
    "kind": "arxiv",
    "version": 4
  }
}