Pith Number

pith:RXZKCCGZ

pith:2013:RXZKCCGZGFNUA4MTZWR3YNLRAK

not attested not anchored not stored refs pending

A counterexample to a theorem of Bremermann on Shilov boundaries

Marek Jarnicki, Peter Pflug

arxiv:1309.3657 v2 · 2013-09-14 · 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{RXZKCCGZGFNUA4MTZWR3YNLRAK}

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	2026-05-18T01:29:59.728558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8df2a108d9315b407193cda3bc35710281934e180072d3067ad1aa0d64d16af0

Aliases

arxiv: 1309.3657 · arxiv_version: 1309.3657v2 · doi: 10.48550/arxiv.1309.3657 · pith_short_12: RXZKCCGZGFNU · pith_short_16: RXZKCCGZGFNUA4MT · pith_short_8: RXZKCCGZ

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/RXZKCCGZGFNUA4MTZWR3YNLRAK \
  | 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: 8df2a108d9315b407193cda3bc35710281934e180072d3067ad1aa0d64d16af0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d91f9e764831f22a5f026128654b2da1a38ffd841995db21d776191b0268c73f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2013-09-14T12:44:35Z",
    "title_canon_sha256": "be6e95c75d0f4f5986a15061567294cb0aed3ce7748c16bfba5da75ea0532f80"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.3657",
    "kind": "arxiv",
    "version": 2
  }
}