Pith Number

pith:VPLURLM6

pith:2007:VPLURLM6PTSLQTBZO6B2KKFAQC

not attested not anchored not stored refs pending

On irreducible algebras of conformal endomorphisms over a linear algebraic group

Pavel Kolesnikov

arxiv:0712.4127 v2 · 2007-12-26 · math.RA · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VPLURLM6PTSLQTBZO6B2KKFAQC}

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	2026-05-18T04:16:41.146081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abd748ad9e7ce4b84c397783a528a0809bd2149842abc7c9d95c08338df9b24e

Aliases

arxiv: 0712.4127 · arxiv_version: 0712.4127v2 · doi: 10.48550/arxiv.0712.4127 · pith_short_12: VPLURLM6PTSL · pith_short_16: VPLURLM6PTSLQTBZ · pith_short_8: VPLURLM6

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/VPLURLM6PTSLQTBZO6B2KKFAQC \
  | 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: abd748ad9e7ce4b84c397783a528a0809bd2149842abc7c9d95c08338df9b24e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "493d238d2b6c337d157cea92c72a8d8a991f45e79b8c47d5392641d2fb0d912d",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "",
    "primary_cat": "math.RA",
    "submitted_at": "2007-12-26T16:23:23Z",
    "title_canon_sha256": "8109b374ad7740d412f5727abfe9e2a995009b6e81e8c6168ab2926ce64edb4a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0712.4127",
    "kind": "arxiv",
    "version": 2
  }
}