Pith Number

pith:VQXODGLR

pith:2009:VQXODGLRH5K4VFXWF7QDATEWH6

not attested not anchored not stored refs pending

Reciprocity laws for representations of finite groups

Clive Reis, Jan Minac, Sunil K. Chebolu

arxiv:0911.3830 v3 · 2009-11-19 · 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{VQXODGLRH5K4VFXWF7QDATEWH6}

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	2026-05-18T04:32:19.658228Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ac2ee199713f55ca96f62fe0304c963f81bf2c0ce553fa9e03a76f601a0ae9a6

Aliases

arxiv: 0911.3830 · arxiv_version: 0911.3830v3 · doi: 10.48550/arxiv.0911.3830 · pith_short_12: VQXODGLRH5K4 · pith_short_16: VQXODGLRH5K4VFXW · pith_short_8: VQXODGLR

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/VQXODGLRH5K4VFXWF7QDATEWH6 \
  | 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: ac2ee199713f55ca96f62fe0304c963f81bf2c0ce553fa9e03a76f601a0ae9a6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f68a13e23d765b0799f194fbaa4548d5bf76185af56907675e1a39aa8855a18",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-11-19T15:41:52Z",
    "title_canon_sha256": "ec8e1b9d260bad20e599f8aabb022b9bd48faa035fbee60e3bc069b32cee95e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0911.3830",
    "kind": "arxiv",
    "version": 3
  }
}