Pith Number

pith:2NHOGGCR

pith:2003:2NHOGGCRCQ5UL7HZCD6M2M74CJ

not attested not anchored not stored refs pending

Purely infinite C*-algebras: ideal-preserving zero homotopies

Eberhard Kirchberg, Mikael Rordam

arxiv:math/0312286 v1 · 2003-12-15 · 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{2NHOGGCRCQ5UL7HZCD6M2M74CJ}

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	2026-05-18T04:34:54.542303Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d34ee31851143b45fcf910fccd33fc1242c120c643ce2f3a189b94293e80c7ac

Aliases

arxiv: math/0312286 · arxiv_version: math/0312286v1 · doi: 10.48550/arxiv.math/0312286 · pith_short_12: 2NHOGGCRCQ5U · pith_short_16: 2NHOGGCRCQ5UL7HZ · pith_short_8: 2NHOGGCR

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/2NHOGGCRCQ5UL7HZCD6M2M74CJ \
  | 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: d34ee31851143b45fcf910fccd33fc1242c120c643ce2f3a189b94293e80c7ac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6dd8c691ea5eed1449c6b9a0af88d1eb934eeb1c89f380ce0e9c2bd0e9351324",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.OA",
    "submitted_at": "2003-12-15T12:30:25Z",
    "title_canon_sha256": "3090a32441c3c568a4da285da3ca49dcf1b3e17452d96c25191e0af0c894153e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0312286",
    "kind": "arxiv",
    "version": 1
  }
}