Pith Number

pith:ZS333GRM

pith:2006:ZS333GRMTRJD2YVAB746IUCIBD

not attested not anchored not stored refs pending

Uncertainty Principles for Compact Groups

Alexander Russell, Gorjan Alagic

arxiv:math/0608702 v2 · 2006-08-28 · math.RT · math.GM · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZS333GRMTRJD2YVAB746IUCIBD}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:02:05.568352Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccb7bd9a2c9c523d62a00ff9e4504808f781be81677ee053ea82c66a60ad22a7

Aliases

arxiv: math/0608702 · arxiv_version: math/0608702v2 · doi: 10.48550/arxiv.math/0608702 · pith_short_12: ZS333GRMTRJD · pith_short_16: ZS333GRMTRJD2YVA · pith_short_8: ZS333GRM

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/ZS333GRMTRJD2YVAB746IUCIBD \
  | 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: ccb7bd9a2c9c523d62a00ff9e4504808f781be81677ee053ea82c66a60ad22a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "53ea4901f8d10abbda5bd7c206b13274f5c85c92c984a416956b7ba0e6e1e3bc",
    "cross_cats_sorted": [
      "math.GM",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2006-08-28T23:06:16Z",
    "title_canon_sha256": "a2a9d477485437eb137b632056376cc6effb0e799b415904a3a0db7b3b23961c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0608702",
    "kind": "arxiv",
    "version": 2
  }
}