Pith Number

pith:4XJ7RR7H

pith:2012:4XJ7RR7HH4S7VFD4J3Y7LAVB43

not attested not anchored not stored refs pending

Multiplication of conjugacy classes, colligations, and characteristic functions of matrix argument

Yury A. Neretin

arxiv:1211.7091 v3 · 2012-11-29 · 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{4XJ7RR7HH4S7VFD4J3Y7LAVB43}

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	2026-05-18T00:38:36.909709Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5d3f8c7e73f25fa947c4ef1f582a1e6f6a12f4ff5318f3abddc20dcd8cf2351

Aliases

arxiv: 1211.7091 · arxiv_version: 1211.7091v3 · doi: 10.48550/arxiv.1211.7091 · pith_short_12: 4XJ7RR7HH4S7 · pith_short_16: 4XJ7RR7HH4S7VFD4 · pith_short_8: 4XJ7RR7H

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/4XJ7RR7HH4S7VFD4J3Y7LAVB43 \
  | 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: e5d3f8c7e73f25fa947c4ef1f582a1e6f6a12f4ff5318f3abddc20dcd8cf2351

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c063ad96205e9e4c33143a1a78b0840e773f3484779c4ec5880fcc90ceb5974f",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-11-29T21:16:05Z",
    "title_canon_sha256": "cf8ad1e561a57c800472b861ea9a6e231523c18b634d1b0b6b01ceffba797f68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1211.7091",
    "kind": "arxiv",
    "version": 3
  }
}