Pith Number

pith:GHGUPUZ5

pith:2011:GHGUPUZ5IFC7LIUCS6LMQBVDL4

not attested not anchored not stored refs pending

Minimal representations via Bessel operators

Jan M\"ollers, Joachim Hilgert, Toshiyuki Kobayashi

arxiv:1106.3621 v4 · 2011-06-18 · math.RT · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GHGUPUZ5IFC7LIUCS6LMQBVDL4}

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	2026-05-18T01:31:53.695451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

31cd47d33d4145f5a2829796c806a35f3e2c9d583a4da414c7d5b5c3a4818525

Aliases

arxiv: 1106.3621 · arxiv_version: 1106.3621v4 · doi: 10.48550/arxiv.1106.3621 · pith_short_12: GHGUPUZ5IFC7 · pith_short_16: GHGUPUZ5IFC7LIUC · pith_short_8: GHGUPUZ5

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/GHGUPUZ5IFC7LIUCS6LMQBVDL4 \
  | 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: 31cd47d33d4145f5a2829796c806a35f3e2c9d583a4da414c7d5b5c3a4818525

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "43ec2ccb77d4d5907accf4bcb9e62951591264c9e9b2b953f6e0dbe219409cd7",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-06-18T07:21:27Z",
    "title_canon_sha256": "8ab1040dc9b6232681234504e62fce29b1294f0f6e172c966462cc8b4e39838c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3621",
    "kind": "arxiv",
    "version": 4
  }
}