Pith Number

pith:EHHCKLLY

pith:2016:EHHCKLLYHPG7CWKVNWHVSUS3HZ

not attested not anchored not stored refs pending

A short proof of Hulanicki's Theorem

Nico Spronk

arxiv:1608.07570 v1 · 2016-08-26 · 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{EHHCKLLYHPG7CWKVNWHVSUS3HZ}

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	2026-05-18T01:07:52.747842Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21ce252d783bcdf159556d8f59525b3e59591a8ba7e29643e62cad3629bf00cd

Aliases

arxiv: 1608.07570 · arxiv_version: 1608.07570v1 · doi: 10.48550/arxiv.1608.07570 · pith_short_12: EHHCKLLYHPG7 · pith_short_16: EHHCKLLYHPG7CWKV · pith_short_8: EHHCKLLY

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/EHHCKLLYHPG7CWKVNWHVSUS3HZ \
  | 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: 21ce252d783bcdf159556d8f59525b3e59591a8ba7e29643e62cad3629bf00cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ca35f45394aea5f20c3afb633db752eb3e136c6c419ccc07f28aefaf0ab1348a",
    "cross_cats_sorted": [
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2016-08-26T19:46:14Z",
    "title_canon_sha256": "e00c14caeab0c21474add8f6a243b042174f6f87122dd26c155716d0cdb20663"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.07570",
    "kind": "arxiv",
    "version": 1
  }
}