Pith Number

pith:WQ2WMFZH

pith:2011:WQ2WMFZHO2AHPCNCKMVFCOOSE5

not attested not anchored not stored refs pending

Free holomorphic functions and operator model theory

Gelu Popescu

arxiv:1111.5282 v1 · 2011-11-22 · math.FA · 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{WQ2WMFZHO2AHPCNCKMVFCOOSE5}

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	2026-05-18T04:07:53.010134Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b43566172776807789a2532a5139d2276e87d8d0a3bb7c82933ffbc1abfaf937

Aliases

arxiv: 1111.5282 · arxiv_version: 1111.5282v1 · doi: 10.48550/arxiv.1111.5282 · pith_short_12: WQ2WMFZHO2AH · pith_short_16: WQ2WMFZHO2AHPCNC · pith_short_8: WQ2WMFZH

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/WQ2WMFZHO2AHPCNCKMVFCOOSE5 \
  | 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: b43566172776807789a2532a5139d2276e87d8d0a3bb7c82933ffbc1abfaf937

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a673f3e72f5d983b3aedbbca324c77cc6e317ca62276394e1150e739c7f8abd2",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-11-22T18:47:59Z",
    "title_canon_sha256": "e70753c2a773e215f3a2701e917c0959ef507747153855bb1465ef51d4f609c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.5282",
    "kind": "arxiv",
    "version": 1
  }
}