Pith Number

pith:NCCG6VWX

pith:2013:NCCG6VWXHUTSMAFUSCYG2VSFPF

not attested not anchored not stored refs pending

Traces, Ultrapowers and the Pedersen-Petersen C*-Algebras

Ilijas Farah, Tristan Bice

arxiv:1307.0111 v1 · 2013-06-29 · 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{NCCG6VWXHUTSMAFUSCYG2VSFPF}

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	2026-05-18T00:51:03.606485Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

68846f56d73d272600b490b06d5645796a42fc9ff6c52526b0c674ec8a294ab2

Aliases

arxiv: 1307.0111 · arxiv_version: 1307.0111v1 · doi: 10.48550/arxiv.1307.0111 · pith_short_12: NCCG6VWXHUTS · pith_short_16: NCCG6VWXHUTSMAFU · pith_short_8: NCCG6VWX

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/NCCG6VWXHUTSMAFUSCYG2VSFPF \
  | 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: 68846f56d73d272600b490b06d5645796a42fc9ff6c52526b0c674ec8a294ab2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "569b7506eb07001fda45868415601a52f69cb8120674eb7a788762f15494362f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-06-29T14:48:16Z",
    "title_canon_sha256": "e37e9332808ed1739f0a274b80c6929964091b6bd276d51eb4041e48c6cd8960"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.0111",
    "kind": "arxiv",
    "version": 1
  }
}