Pith Number

pith:J7TQI7FI

pith:2009:J7TQI7FID2MZ4QZUF53TMH2Y4B

not attested not anchored not stored refs pending

Representation of Universal Algebra

Aleks Kleyn

arxiv:0912.3315 v3 · 2009-12-17 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J7TQI7FID2MZ4QZUF53TMH2Y4B}

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	2026-05-18T02:27:49.894364Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4fe7047ca81e999e43342f77361f58e07020bee2de3fd8936ec83dd36eed4d96

Aliases

arxiv: 0912.3315 · arxiv_version: 0912.3315v3 · doi: 10.48550/arxiv.0912.3315 · pith_short_12: J7TQI7FID2MZ · pith_short_16: J7TQI7FID2MZ4QZU · pith_short_8: J7TQI7FI

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/J7TQI7FID2MZ4QZUF53TMH2Y4B \
  | 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: 4fe7047ca81e999e43342f77361f58e07020bee2de3fd8936ec83dd36eed4d96

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4172ba63ca8897b399372d604378f6f512376f2d3e211390a4da1c8af207bb30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2009-12-17T05:24:21Z",
    "title_canon_sha256": "081c5d8491ce9b25ba53b72cf472ce6fffd66d603518b415cd1534882d1ea619"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0912.3315",
    "kind": "arxiv",
    "version": 3
  }
}