Pith Number

pith:XUDJ7AWE

pith:2011:XUDJ7AWED4OZIP5UA7WUVIMBXY

not attested not anchored not stored refs pending

On the spectrum of monoids and semilattices

Ilia Pirashvili

arxiv:1112.0023 v3 · 2011-11-30 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XUDJ7AWED4OZIP5UA7WUVIMBXY}

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	2026-05-18T03:51:02.164149Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bd069f82c41f1d943fb407ed4aa181be28b346d6e54229c0c63284dbe0940e3e

Aliases

arxiv: 1112.0023 · arxiv_version: 1112.0023v3 · doi: 10.48550/arxiv.1112.0023 · pith_short_12: XUDJ7AWED4OZ · pith_short_16: XUDJ7AWED4OZIP5U · pith_short_8: XUDJ7AWE

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/XUDJ7AWED4OZIP5UA7WUVIMBXY \
  | 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: bd069f82c41f1d943fb407ed4aa181be28b346d6e54229c0c63284dbe0940e3e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15220707ebcac76e3f76c09ae037602f18a87e7671f9c6713a9f2c1c3c9a096c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-11-30T21:05:27Z",
    "title_canon_sha256": "1e905c72c469777bbab701a2051eadf81c3819d698a3a0dbaf03a24bd9de5973"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0023",
    "kind": "arxiv",
    "version": 3
  }
}