Pith Number

pith:DWS7DXVC

pith:2012:DWS7DXVC7KJX7FXRSMGMI5M2DZ

not attested not anchored not stored refs pending

Restriction des s\'eries discr\`etes de SU(2,1) \`a un sous-groupe exponentiel maximal et \`a un sous-groupe de Borel

Gang Liu

arxiv:1208.0992 v1 · 2012-08-05 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DWS7DXVC7KJX7FXRSMGMI5M2DZ}

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	2026-05-18T03:49:20.866116Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1da5f1dea2fa937f96f1930cc4759a1e6045130143113099721cb03d3df36e31

Aliases

arxiv: 1208.0992 · arxiv_version: 1208.0992v1 · doi: 10.48550/arxiv.1208.0992 · pith_short_12: DWS7DXVC7KJX · pith_short_16: DWS7DXVC7KJX7FXR · pith_short_8: DWS7DXVC

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/DWS7DXVC7KJX7FXRSMGMI5M2DZ \
  | 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: 1da5f1dea2fa937f96f1930cc4759a1e6045130143113099721cb03d3df36e31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4eceb029935f09cb0deaae4ebf6863dab1205dad4df762252089f71693101f91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-08-05T09:12:43Z",
    "title_canon_sha256": "51beb606811052eb1b5ede666d9bc9d28bcd2c8873984c5b4173d4974b046f5b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.0992",
    "kind": "arxiv",
    "version": 1
  }
}