Pith Number

pith:ZBMNNINB

pith:2013:ZBMNNINBOEWXMS6P7DUNYMTOBX

not attested not anchored not stored refs pending

Lie bialgebras of generalized loop Virasoro algebras

Henan Wu, Song Wang, Xiaoqing Yue

arxiv:1311.0102 v1 · 2013-11-01 · 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{ZBMNNINBOEWXMS6P7DUNYMTOBX}

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	2026-05-18T00:56:53.500478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c858d6a1a1712d764bcff8e8dc326e0dde52c19ea871fbce1daa86caad2daafe

Aliases

arxiv: 1311.0102 · arxiv_version: 1311.0102v1 · doi: 10.48550/arxiv.1311.0102 · pith_short_12: ZBMNNINBOEWX · pith_short_16: ZBMNNINBOEWXMS6P · pith_short_8: ZBMNNINB

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/ZBMNNINBOEWXMS6P7DUNYMTOBX \
  | 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: c858d6a1a1712d764bcff8e8dc326e0dde52c19ea871fbce1daa86caad2daafe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7dac5fe30391e27ce14bb5bd7d1e4b2f3d9d2b79341bc3fb5f7c617ff4b61dfb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2013-11-01T06:55:32Z",
    "title_canon_sha256": "a55a4d0b37ce33ba0599729fbcb4c5951123876e268db8ad56fc120076bccdbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.0102",
    "kind": "arxiv",
    "version": 1
  }
}