Pith Number

pith:IUPXEHLV

pith:2009:IUPXEHLVLXSR33CLWVRQU4BIUK

not attested not anchored not stored refs pending

On the minimal norm of a non-regular generalized character of an arbitrary finite group

Geoffrey R. Robinson

arxiv:0902.1312 v2 · 2009-02-08 · 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{IUPXEHLVLXSR33CLWVRQU4BIUK}

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	2026-05-18T02:58:10.708464Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

451f721d755de51dec4bb5630a7028a2bf31a00b5848910199a25fbd68d9a305

Aliases

arxiv: 0902.1312 · arxiv_version: 0902.1312v2 · doi: 10.48550/arxiv.0902.1312 · pith_short_12: IUPXEHLVLXSR · pith_short_16: IUPXEHLVLXSR33CL · pith_short_8: IUPXEHLV

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/IUPXEHLVLXSR33CLWVRQU4BIUK \
  | 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: 451f721d755de51dec4bb5630a7028a2bf31a00b5848910199a25fbd68d9a305

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "19ec4e2e31c8938ff6ffcc57b462daa7e636a91a83b2297c1b818a35cb918aa1",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-02-08T14:17:27Z",
    "title_canon_sha256": "448874bf21a4ebab084cf58293ac6a7ba49419aa1783aa62ee7dfa0af2bb7f70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.1312",
    "kind": "arxiv",
    "version": 2
  }
}