Pith Number

pith:VOELDZQZ

pith:2010:VOELDZQZ57U2HKEKUIQR7KBUIB

not attested not anchored not stored refs pending

A Factorization Theorem for $\varphi$--Maps

Michael Skeide

arxiv:1005.1396 v2 · 2010-05-09 · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VOELDZQZ57U2HKEKUIQR7KBUIB}

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	2026-05-18T03:06:52.188915Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab88b1e619efe9a3a88aa2211fa8344074031e7886029a28e2dd8f40d1d4741c

Aliases

arxiv: 1005.1396 · arxiv_version: 1005.1396v2 · doi: 10.48550/arxiv.1005.1396 · pith_short_12: VOELDZQZ57U2 · pith_short_16: VOELDZQZ57U2HKEK · pith_short_8: VOELDZQZ

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/VOELDZQZ57U2HKEKUIQR7KBUIB \
  | 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: ab88b1e619efe9a3a88aa2211fa8344074031e7886029a28e2dd8f40d1d4741c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52d49595fbe905dba66a287611a55c032167aef911f9d5120590b93940377a35",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-05-09T13:28:46Z",
    "title_canon_sha256": "73b4966f6bacd97be887804f0c0a5ba7dbeae306df55359a5cbd234a5780c636"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.1396",
    "kind": "arxiv",
    "version": 2
  }
}