Pith Number

pith:PVBVUR76

pith:2012:PVBVUR76EUHRFQ7RQRCIOY7JHV

not attested not anchored not stored refs pending

Unitary modules for the twisted Heisenberg-Virasoro algebra

Shaobin Tan, Xiufu Zhang

arxiv:1201.1338 v1 · 2012-01-06 · 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{PVBVUR76EUHRFQ7RQRCIOY7JHV}

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	2026-05-18T04:05:04.877608Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d435a47fe250f12c3f184448763e93d4d69699a27a09ae63861b0aafc3f2b24

Aliases

arxiv: 1201.1338 · arxiv_version: 1201.1338v1 · doi: 10.48550/arxiv.1201.1338 · pith_short_12: PVBVUR76EUHR · pith_short_16: PVBVUR76EUHRFQ7R · pith_short_8: PVBVUR76

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/PVBVUR76EUHRFQ7RQRCIOY7JHV \
  | 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: 7d435a47fe250f12c3f184448763e93d4d69699a27a09ae63861b0aafc3f2b24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b36fc5e64d6367ac7850ade64fb9b59234dc4e2afb3a3cda57ff685bb020054",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-01-06T02:58:24Z",
    "title_canon_sha256": "80755e9d9b451a392847e1147d529cf71a11d7e042d9098346d062e27fef2329"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1338",
    "kind": "arxiv",
    "version": 1
  }
}