Pith Number

pith:L2YNAX4P

pith:2010:L2YNAX4PKIBUIP7SBVDKPW5RAD

not attested not anchored not stored refs pending

Lie bialgebra structures on the twisted Heisenberg-Virasoro algebra

Dong Liu, Linsheng Zhu, Yufeng Pei

arxiv:1007.4055 v3 · 2010-07-23 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{L2YNAX4PKIBUIP7SBVDKPW5RAD}

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	2026-05-18T03:58:51.755020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5eb0d05f8f5203443ff20d46a7dbb100e14664f5bd17a6bf79d159c53da497c1

Aliases

arxiv: 1007.4055 · arxiv_version: 1007.4055v3 · doi: 10.48550/arxiv.1007.4055 · pith_short_12: L2YNAX4PKIBU · pith_short_16: L2YNAX4PKIBUIP7S · pith_short_8: L2YNAX4P

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/L2YNAX4PKIBUIP7SBVDKPW5RAD \
  | 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: 5eb0d05f8f5203443ff20d46a7dbb100e14664f5bd17a6bf79d159c53da497c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "119c1f7c3ebba1b1c1cea770c2264a223ee162f6dd11d38d6e08696e232ccfa9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2010-07-23T07:13:24Z",
    "title_canon_sha256": "e0bdf8e574da7b9146a6c54e25a60fae25568440c77093f1d88eed985e6953cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.4055",
    "kind": "arxiv",
    "version": 3
  }
}