Pith Number

pith:PYZNSGKF

pith:2015:PYZNSGKF4RY7X4Y464R6CNEKOU

not attested not anchored not stored refs pending

Commuting contractive idempotents in measure algebras

Nico Spronk

arxiv:1503.06859 v1 · 2015-03-23 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PYZNSGKF4RY7X4Y464R6CNEKOU}

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	2026-05-18T01:20:36.700454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e32d91945e471fbf31cf723e1348a7517fe51cb26890a2def333701a179a475

Aliases

arxiv: 1503.06859 · arxiv_version: 1503.06859v1 · doi: 10.48550/arxiv.1503.06859 · pith_short_12: PYZNSGKF4RY7 · pith_short_16: PYZNSGKF4RY7X4Y4 · pith_short_8: PYZNSGKF

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/PYZNSGKF4RY7X4Y464R6CNEKOU \
  | 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: 7e32d91945e471fbf31cf723e1348a7517fe51cb26890a2def333701a179a475

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb52b9059d050bb77d5dce541cbecbca01cd65903b20a5815220ce4358838113",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2015-03-23T22:03:55Z",
    "title_canon_sha256": "f1ec59780bd6cfa4a1a27fc2a3ced12dd6e87d10fb8c8cfc00bf04a19ca85626"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.06859",
    "kind": "arxiv",
    "version": 1
  }
}