Pith Number

pith:3ZUY3LMS

pith:2011:3ZUY3LMSY4GFUOBOD3WC6TXK64

not attested not anchored not stored refs pending

Partial mirror symmetry, lattice presentations and algebraic monoids

Brent Everitt, John Fountain

arxiv:1104.0090 v1 · 2011-04-01 · math.GR · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3ZUY3LMSY4GFUOBOD3WC6TXK64}

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	2026-05-18T03:06:22.702186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

de698dad92c70c5a382e1eec2f4eeaf73af598eba5483c2eec25504e25fc273f

Aliases

arxiv: 1104.0090 · arxiv_version: 1104.0090v1 · doi: 10.48550/arxiv.1104.0090 · pith_short_12: 3ZUY3LMSY4GF · pith_short_16: 3ZUY3LMSY4GFUOBO · pith_short_8: 3ZUY3LMS

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/3ZUY3LMSY4GFUOBOD3WC6TXK64 \
  | 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: de698dad92c70c5a382e1eec2f4eeaf73af598eba5483c2eec25504e25fc273f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6c0bbdc70ff70e42250976342961bac80c7a4fd9ff32f6b44e6cc9377990fbec",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-04-01T07:20:12Z",
    "title_canon_sha256": "72615cc52651217f5d4eda91d45a1b5f570139171ae02e54eaadbae3e75d3d98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.0090",
    "kind": "arxiv",
    "version": 1
  }
}