Pith Number

pith:3ENUI7EW

pith:2012:3ENUI7EWPRMCP4DBGKFB36TTNQ

not attested not anchored not stored refs pending

Unitary representations for the Schr\"{o}dinger-Virasoro Lie algebra

Shaobin Tan, Xiufu Zhang

arxiv:1201.1342 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{3ENUI7EWPRMCP4DBGKFB36TTNQ}

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	2026-05-18T04:05:04.848433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d91b447c967c5827f061328a1dfa736c039b9aae2b519b7d482faa25820c56fc

Aliases

arxiv: 1201.1342 · arxiv_version: 1201.1342v1 · doi: 10.48550/arxiv.1201.1342 · pith_short_12: 3ENUI7EWPRMC · pith_short_16: 3ENUI7EWPRMCP4DB · pith_short_8: 3ENUI7EW

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/3ENUI7EWPRMCP4DBGKFB36TTNQ \
  | 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: d91b447c967c5827f061328a1dfa736c039b9aae2b519b7d482faa25820c56fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "220e0f75c7edfaff7241bdf26145724f1c31fcf208c700b3de0f4dafd770d9d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-01-06T03:03:46Z",
    "title_canon_sha256": "551c3c6e6676179f4f1c984f1f2c64cd1af5c649e841566004fda9ee3fa5bad4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.1342",
    "kind": "arxiv",
    "version": 1
  }
}