Pith Number

pith:P4HU272U

pith:2011:P4HU272UDN2O35CAA2RJ4CHQ4G

not attested not anchored not stored refs pending

Direct Systems of Spherical Functions and Representations

Gestur Olafsson, Joseph A. Wolf, Matthew Dawson

arxiv:1110.0655 v3 · 2011-10-04 · math.RT · math.DG · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P4HU272UDN2O35CAA2RJ4CHQ4G}

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	2026-05-18T03:41:12.684030Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f0f4d7f541b74edf44006a29e08f0e1bfb58b7513738106c784171e1c1561a2

Aliases

arxiv: 1110.0655 · arxiv_version: 1110.0655v3 · doi: 10.48550/arxiv.1110.0655 · pith_short_12: P4HU272UDN2O · pith_short_16: P4HU272UDN2O35CA · pith_short_8: P4HU272U

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/P4HU272UDN2O35CAA2RJ4CHQ4G \
  | 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: 7f0f4d7f541b74edf44006a29e08f0e1bfb58b7513738106c784171e1c1561a2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f809662a6a9f60a0bd227bc35d6e7815a4021cbca5d96a325b74e02d704cfca8",
    "cross_cats_sorted": [
      "math.DG",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-10-04T12:24:03Z",
    "title_canon_sha256": "50fbc4fdaee167ae07752314348b85a7c53bba9e28c37b3f7c485ab208113d23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0655",
    "kind": "arxiv",
    "version": 3
  }
}