Pith Number

pith:XH6XDPGS

pith:2011:XH6XDPGS7JVD4GSKLOHMGYX2LV

not attested not anchored not stored refs pending

On the number of finite algebraic structures

Erhard Aichinger, Peter Mayr, Ralph McKenzie

arxiv:1103.2265 v2 · 2011-03-11 · math.RA · math.GR · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XH6XDPGS7JVD4GSKLOHMGYX2LV}

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	2026-05-18T04:21:10.491744Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b9fd71bcd2fa6a3e1a4a5b8ec362fa5d50cbc2484615db44189ce7859fdee434

Aliases

arxiv: 1103.2265 · arxiv_version: 1103.2265v2 · doi: 10.48550/arxiv.1103.2265 · pith_short_12: XH6XDPGS7JVD · pith_short_16: XH6XDPGS7JVD4GSK · pith_short_8: XH6XDPGS

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/XH6XDPGS7JVD4GSKLOHMGYX2LV \
  | 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: b9fd71bcd2fa6a3e1a4a5b8ec362fa5d50cbc2484615db44189ce7859fdee434

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "40c7ec03562e19d7634ee1805c48c0cc61a63d316ea7c56b77d53c56d302b058",
    "cross_cats_sorted": [
      "math.GR",
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2011-03-11T13:42:51Z",
    "title_canon_sha256": "74c3a973ab66fcb9c37cee2bfbcd81bafc700fb95244b83bcebbfe666f188163"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.2265",
    "kind": "arxiv",
    "version": 2
  }
}