Pith Number

pith:AZLLDI5T

pith:1999:AZLLDI5T3VFYZQDNUVEVUYZJWJ

not attested not anchored not stored refs pending

Slices in the unit ball of a uniform algebra

Dirk Werner, Olav Nygaard

arxiv:math/9911021 v1 · 1999-11-03 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AZLLDI5T3VFYZQDNUVEVUYZJWJ}

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	2026-05-18T04:26:44.032632Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0656b1a3b3dd4b8cc06da5495a6329b27538a903e8d1f6e1cbd2ad53c0e021b8

Aliases

arxiv: math/9911021 · arxiv_version: math/9911021v1 · doi: 10.48550/arxiv.math/9911021 · pith_short_12: AZLLDI5T3VFY · pith_short_16: AZLLDI5T3VFYZQDN · pith_short_8: AZLLDI5T

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/AZLLDI5T3VFYZQDNUVEVUYZJWJ \
  | 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: 0656b1a3b3dd4b8cc06da5495a6329b27538a903e8d1f6e1cbd2ad53c0e021b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b38650d618c1c57632f7f0016ff6390e512928d2d568a23f4b2d42b979cb80cb",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.FA",
    "submitted_at": "1999-11-03T13:40:39Z",
    "title_canon_sha256": "1d642280cccdd0f0a7f17a544a408de9abe84e4854ca13acc598a70a523ad90c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9911021",
    "kind": "arxiv",
    "version": 1
  }
}