Pith Number

pith:TGDUGUZY

pith:2005:TGDUGUZY6JDWPVZPCC4KWKVBZD

not attested not anchored not stored refs pending

Lie bialgebras of generalized Witt type

Guang'ai Song, Yucai Su

arxiv:math/0504168 v1 · 2005-04-08 · 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{TGDUGUZY6JDWPVZPCC4KWKVBZD}

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	2026-05-18T01:38:26.845597Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9987435338f24767d72f10b8ab2aa1c8db385056adc87576681f05434d9b95fc

Aliases

arxiv: math/0504168 · arxiv_version: math/0504168v1 · doi: 10.48550/arxiv.math/0504168 · pith_short_12: TGDUGUZY6JDW · pith_short_16: TGDUGUZY6JDWPVZP · pith_short_8: TGDUGUZY

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/TGDUGUZY6JDWPVZPCC4KWKVBZD \
  | 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: 9987435338f24767d72f10b8ab2aa1c8db385056adc87576681f05434d9b95fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c9932cb7b5fa3db80abf617838294883155da657c14df7474d08544f85504228",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "2005-04-08T12:53:57Z",
    "title_canon_sha256": "6b299aa19375b6451fd5f29b5befab95b08d73a7b891f1b1bb9680ddea59b944"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0504168",
    "kind": "arxiv",
    "version": 1
  }
}