Pith Number

pith:I4ZX6BGU

pith:2007:I4ZX6BGU6DKQ5PNIYR6GMBVREK

not attested not anchored not stored refs pending

Non-stable K-theory and extremally rich C*-algebras

Gert K. Pedersen, Lawrence G. Brown

arxiv:0708.3078 v2 · 2007-08-22 · 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{I4ZX6BGU6DKQ5PNIYR6GMBVREK}

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	2026-05-18T00:42:49.373697Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47337f04d4f0d50ebda8c47c6606b1228a128d025e5d1d63111a8def97c16fd9

Aliases

arxiv: 0708.3078 · arxiv_version: 0708.3078v2 · doi: 10.48550/arxiv.0708.3078 · pith_short_12: I4ZX6BGU6DKQ · pith_short_16: I4ZX6BGU6DKQ5PNI · pith_short_8: I4ZX6BGU

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/I4ZX6BGU6DKQ5PNIYR6GMBVREK \
  | 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: 47337f04d4f0d50ebda8c47c6606b1228a128d025e5d1d63111a8def97c16fd9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f27e96d9bc9f73d7d000654a1ae2dd95298774f98af5f4f6d4d1791d7fba1bce",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2007-08-22T19:31:34Z",
    "title_canon_sha256": "dc53c967ebfc916693880bd836bc43efaeb2072ae4158dc648805e8379f47517"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0708.3078",
    "kind": "arxiv",
    "version": 2
  }
}