Pith Number

pith:RMXGU4JK

pith:2015:RMXGU4JK7FBPI35YZPEZ3WXFYE

not attested not anchored not stored refs pending

Stepwise Square Integrable Representations: the Concept and Some Consequences

Joseph A. Wolf

arxiv:1511.09064 v1 · 2015-11-29 · math.RT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RMXGU4JK7FBPI35YZPEZ3WXFYE}

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	2026-05-18T01:25:41.311182Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b2e6a712af942f46fb8cbc99ddae5c1022a0fa8a6592e239557a3c2d22afd44

Aliases

arxiv: 1511.09064 · arxiv_version: 1511.09064v1 · doi: 10.48550/arxiv.1511.09064 · pith_short_12: RMXGU4JK7FBP · pith_short_16: RMXGU4JK7FBPI35Y · pith_short_8: RMXGU4JK

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/RMXGU4JK7FBPI35YZPEZ3WXFYE \
  | 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: 8b2e6a712af942f46fb8cbc99ddae5c1022a0fa8a6592e239557a3c2d22afd44

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "15e8aaad55966418b18ab0eeb211488f995111eca3232d32b047d9cc359714a7",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-11-29T19:05:24Z",
    "title_canon_sha256": "d126748ef4725ca8a31761358ca17e57ab7bb91c45c881a53c58ba32dc3e4d49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.09064",
    "kind": "arxiv",
    "version": 1
  }
}