Pith Number

pith:DAVQPXH5

pith:2009:DAVQPXH5E6CFOINI3JKER3BAYC

not attested not anchored not stored refs pending

Analytic factorization of Lie group representations

Bernhard Kr\"otz, Christoph Lienau, Heiko Gimperlein

arxiv:0910.0177 v1 · 2009-10-01 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DAVQPXH5E6CFOINI3JKER3BAYC}

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	2026-05-18T00:29:49.686241Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

182b07dcfd27845721a8da5448ec20c08952904b61888af1564fe31243af65ee

Aliases

arxiv: 0910.0177 · arxiv_version: 0910.0177v1 · doi: 10.48550/arxiv.0910.0177 · pith_short_12: DAVQPXH5E6CF · pith_short_16: DAVQPXH5E6CFOINI · pith_short_8: DAVQPXH5

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/DAVQPXH5E6CFOINI3JKER3BAYC \
  | 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: 182b07dcfd27845721a8da5448ec20c08952904b61888af1564fe31243af65ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ef84663bd60bd70c8a5477a789c5680065a987a042f4becc53bce46de45c415",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-10-01T13:59:07Z",
    "title_canon_sha256": "c7d5f6f7347cb4d43c68b1cdda05d9a8ee0febefce724a34df8164e7aa2106a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.0177",
    "kind": "arxiv",
    "version": 1
  }
}