Pith Number

pith:3XGRUW2C

pith:2000:3XGRUW2CLY57IMTDTIMC7WFFZX

not attested not anchored not stored refs pending

Subtriviality of continuous fields of nuclear C*--algebras

Etienne Blanchard

arxiv:math/0012128 v1 · 2000-12-15 · 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{3XGRUW2CLY57IMTDTIMC7WFFZX}

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	2026-05-18T01:05:38.001603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ddcd1a5b425e3bf432639a182fd8a5cdebfe1924a68567fb0e3d5d018737eb89

Aliases

arxiv: math/0012128 · arxiv_version: math/0012128v1 · doi: 10.48550/arxiv.math/0012128 · pith_short_12: 3XGRUW2CLY57 · pith_short_16: 3XGRUW2CLY57IMTD · pith_short_8: 3XGRUW2C

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/3XGRUW2CLY57IMTDTIMC7WFFZX \
  | 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: ddcd1a5b425e3bf432639a182fd8a5cdebfe1924a68567fb0e3d5d018737eb89

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dda8f0b5e0e3c25b68673693135d2931b64e3c976a3e7a6f4ac4b6496b9b68ca",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2000-12-15T16:25:24Z",
    "title_canon_sha256": "c5fdb47c6847efcf8e2279987f6bbd93000d6223a697f563e7dba3c5336882d3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0012128",
    "kind": "arxiv",
    "version": 1
  }
}