Pith Number

pith:6PUVDXJJ

pith:2011:6PUVDXJJWB4JHPRWIMVB5EW2NC

not attested not anchored not stored refs pending

Free biholomorphic functions and operator model theory,II

Gelu Popescu

arxiv:1112.0199 v1 · 2011-12-01 · 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{6PUVDXJJWB4JHPRWIMVB5EW2NC}

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	2026-05-18T04:07:16.598065Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f3e951dd29b07893be36432a1e92da68b012603601e04acf4ceac8e69d67658a

Aliases

arxiv: 1112.0199 · arxiv_version: 1112.0199v1 · doi: 10.48550/arxiv.1112.0199 · pith_short_12: 6PUVDXJJWB4J · pith_short_16: 6PUVDXJJWB4JHPRW · pith_short_8: 6PUVDXJJ

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/6PUVDXJJWB4JHPRWIMVB5EW2NC \
  | 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: f3e951dd29b07893be36432a1e92da68b012603601e04acf4ceac8e69d67658a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ef940ccbe1c4fef81c904c4806958ebaf6c773684b99eced987fd31f5384d84b",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-12-01T14:56:44Z",
    "title_canon_sha256": "498b2e8a85f33030b1d823510e3d00fe83d483344bb01581a46b435393805558"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0199",
    "kind": "arxiv",
    "version": 1
  }
}