Pith Number

pith:G2ZVKZIQ

pith:2012:G2ZVKZIQQALXM3GA3HOWF4KA55

not attested not anchored not stored refs pending

Lie Bialgebra Structures on Generalized Heisenberg-Virasoro Algebra

Haibo Chen, Jiangang Zhang, Ran Shen

arxiv:1210.7289 v1 · 2012-10-27 · math.QA · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G2ZVKZIQQALXM3GA3HOWF4KA55}

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	2026-05-18T03:42:10.624803Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36b35565108017766cc0d9dd62f140ef5924c2a1389eff2483148dbab36d5d82

Aliases

arxiv: 1210.7289 · arxiv_version: 1210.7289v1 · doi: 10.48550/arxiv.1210.7289 · pith_short_12: G2ZVKZIQQALX · pith_short_16: G2ZVKZIQQALXM3GA · pith_short_8: G2ZVKZIQ

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/G2ZVKZIQQALXM3GA3HOWF4KA55 \
  | 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: 36b35565108017766cc0d9dd62f140ef5924c2a1389eff2483148dbab36d5d82

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62a935c56cb1aee19fad1cdca6664d6af08adb5ea594cb906d5dd66b76f7429e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2012-10-27T04:48:57Z",
    "title_canon_sha256": "156a49f032a5fdc7332660cf5c4a6614c044421a13c3cbc5936823d4496f69c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.7289",
    "kind": "arxiv",
    "version": 1
  }
}