Pith Number

pith:JWPPPCX3

pith:2014:JWPPPCX3NRJHDREYRY6YOYFI4Q

not attested not anchored not stored refs pending

The local spectrum of the Dirac operator for the universal cover of $SL_2(\mathbb R)$

Graham A. Niblo, Jacek Brodzki, Nick Wright, Roger Plymen

arxiv:1406.0365 v1 · 2014-06-02 · math.RT · math.KT · math.OA · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JWPPPCX3NRJHDREYRY6YOYFI4Q}

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	2026-05-18T02:50:41.112448Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d9ef78afb6c5271c4988e3d8760a8e413d55d4ed0ee5ccc399cb087b12d53b9

Aliases

arxiv: 1406.0365 · arxiv_version: 1406.0365v1 · doi: 10.48550/arxiv.1406.0365 · pith_short_12: JWPPPCX3NRJH · pith_short_16: JWPPPCX3NRJHDREY · pith_short_8: JWPPPCX3

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/JWPPPCX3NRJHDREYRY6YOYFI4Q \
  | 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: 4d9ef78afb6c5271c4988e3d8760a8e413d55d4ed0ee5ccc399cb087b12d53b9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8756c0b9bdb5047728e6ed0acff1b05668255148f4b1a558ef01f9cd8fdb661e",
    "cross_cats_sorted": [
      "math.KT",
      "math.OA",
      "math.SP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-06-02T13:40:52Z",
    "title_canon_sha256": "52864adcb61ca5102bc7e23a438163e0488a14c4eb91d857b9380fd9c561c224"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.0365",
    "kind": "arxiv",
    "version": 1
  }
}