Pith Number

pith:QHRPAUYP

pith:2013:QHRPAUYPOD2POVNJCBOKIQVVVU

not attested not anchored not stored refs pending

Corona-type theorems and division in some function algebras on planar domains

Raymond Mortini, Rudolf Rupp

arxiv:1301.7668 v1 · 2013-01-31 · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QHRPAUYPOD2POVNJCBOKIQVVVU}

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	2026-05-18T02:39:32.301705Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

81e2f0530f70f4f755a9105ca442b5ad03364f4a81df0299000dc5e61f4ad517

Aliases

arxiv: 1301.7668 · arxiv_version: 1301.7668v1 · doi: 10.48550/arxiv.1301.7668 · pith_short_12: QHRPAUYPOD2P · pith_short_16: QHRPAUYPOD2POVNJ · pith_short_8: QHRPAUYP

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/QHRPAUYPOD2POVNJCBOKIQVVVU \
  | 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: 81e2f0530f70f4f755a9105ca442b5ad03364f4a81df0299000dc5e61f4ad517

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "432e2b19a837835c7c6b1fd1ee481b385dfa55c2bf18c661410e0cbf369ed736",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-01-31T16:23:10Z",
    "title_canon_sha256": "e2158baed280505e60484c797d41cf8fee5fb3a44ca2649c5891c7815526b13e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.7668",
    "kind": "arxiv",
    "version": 1
  }
}