Pith Number

pith:QKQ5SIIP

pith:2009:QKQ5SIIPUY2ME3NUPTV2O5K3HS

not attested not anchored not stored refs pending

The Corona Factorization Property and Refinement Monoids

Eduard Ortega, Francesc Perera, Mikael Rordam

arxiv:0904.0541 v1 · 2009-04-03 · 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{QKQ5SIIPUY2ME3NUPTV2O5K3HS}

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	2026-05-18T03:35:52.173119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82a1d9210fa634c26db47ceba7755b3c84e725aeed50fa05150796ef7fa61f2a

Aliases

arxiv: 0904.0541 · arxiv_version: 0904.0541v1 · doi: 10.48550/arxiv.0904.0541 · pith_short_12: QKQ5SIIPUY2M · pith_short_16: QKQ5SIIPUY2ME3NU · pith_short_8: QKQ5SIIP

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/QKQ5SIIPUY2ME3NUPTV2O5K3HS \
  | 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: 82a1d9210fa634c26db47ceba7755b3c84e725aeed50fa05150796ef7fa61f2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdd7ad39f2b2f6337d50b3af79085088d0ee91c7de1e799e4b3669f49351be5b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2009-04-03T10:10:39Z",
    "title_canon_sha256": "d9970b1ea68092c04b65e7282bf2b0d31de508db8a0428e904a722de05b37c08"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.0541",
    "kind": "arxiv",
    "version": 1
  }
}