Pith Number

pith:UXU6KLSK

pith:2013:UXU6KLSK5HIXMWPTCEBGQCATC3

not attested not anchored not stored refs pending

A Lie-Rinehart algebra with no antipode

Ana Rovi, Ulrich Kraehmer

arxiv:1308.6770 v1 · 2013-08-30 · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UXU6KLSK5HIXMWPTCEBGQCATC3}

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	2026-05-18T03:14:30.966964Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5e9e52e4ae9d17659f3110268081316db19c6c39cc40de50ba05d66bcc63c12

Aliases

arxiv: 1308.6770 · arxiv_version: 1308.6770v1 · doi: 10.48550/arxiv.1308.6770 · pith_short_12: UXU6KLSK5HIX · pith_short_16: UXU6KLSK5HIXMWPT · pith_short_8: UXU6KLSK

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/UXU6KLSK5HIXMWPTCEBGQCATC3 \
  | 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: a5e9e52e4ae9d17659f3110268081316db19c6c39cc40de50ba05d66bcc63c12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4ba4b530d4095fb82109f60a11df89faf5dffbc0a3e1bdd2596ae85928421b1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-08-30T15:24:56Z",
    "title_canon_sha256": "82b7208b07ff2cbe2091d6f39e93dee8360eb6c8b419344c94c86a3a02e5d2de"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.6770",
    "kind": "arxiv",
    "version": 1
  }
}