Pith Number

pith:GSYSV752

pith:2011:GSYSV752U27HQ23JIJSCYGIECM

not attested not anchored not stored refs pending

Extensions of tempered representations

Eric Opdam, Maarten Solleveld

arxiv:1105.3802 v2 · 2011-05-19 · 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{GSYSV752U27HQ23JIJSCYGIECM}

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	2026-05-18T03:05:45.089109Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34b12affbaa6be786b6942642c19041337dfa45a8b4417dcedea0b7edecb0bd4

Aliases

arxiv: 1105.3802 · arxiv_version: 1105.3802v2 · doi: 10.48550/arxiv.1105.3802 · pith_short_12: GSYSV752U27H · pith_short_16: GSYSV752U27HQ23J · pith_short_8: GSYSV752

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/GSYSV752U27HQ23JIJSCYGIECM \
  | 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: 34b12affbaa6be786b6942642c19041337dfa45a8b4417dcedea0b7edecb0bd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "147b8638985765a71482bb7317904216eafe485855f24f7aa6b3af80c0e690d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-05-19T07:19:22Z",
    "title_canon_sha256": "f6a0b05bf3fa122327fec77ed0b2a7a9a65b1b33ac598c1dc9fc7bd20e2c55d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.3802",
    "kind": "arxiv",
    "version": 2
  }
}