Pith Number

pith:O2YW3ZC2

pith:2014:O2YW3ZC2JBI5AT6LEDDUVC6NEF

not attested not anchored not stored refs pending

Diagram monoids and Graham-Houghton graphs: idempotents and generating sets of ideals

James East, Robert Gray

arxiv:1404.2359 v3 · 2014-04-09 · 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{O2YW3ZC2JBI5AT6LEDDUVC6NEF}

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	2026-05-18T01:09:07.299775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76b16de45a4851d04fcb20c74a8bcd2166c8ef216b8294459403a3322e67ed26

Aliases

arxiv: 1404.2359 · arxiv_version: 1404.2359v3 · doi: 10.48550/arxiv.1404.2359 · pith_short_12: O2YW3ZC2JBI5 · pith_short_16: O2YW3ZC2JBI5AT6L · pith_short_8: O2YW3ZC2

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/O2YW3ZC2JBI5AT6LEDDUVC6NEF \
  | 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: 76b16de45a4851d04fcb20c74a8bcd2166c8ef216b8294459403a3322e67ed26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "215454b9fde9bda3eb405c306f3d7ba0ec4a10087d9e17e33550970ced4c180a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-04-09T03:57:52Z",
    "title_canon_sha256": "28d78a8c45343231d2408d1733fe521daaf53a7254c903f0d238f199548151b5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.2359",
    "kind": "arxiv",
    "version": 3
  }
}