Pith Number

pith:GMJ6HIX5

pith:2010:GMJ6HIX5KB5TDED4IUYVYSZP4C

not attested not anchored not stored refs pending

Quasitraces are Traces: A Short Proof of the Finite-Nuclear-Dimension Case

Nathanial P. Brown, Wilhelm Winter

arxiv:1005.2229 v2 · 2010-05-12 · 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{GMJ6HIX5KB5TDED4IUYVYSZP4C}

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	2026-05-18T04:38:15.420282Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3313e3a2fd507b31907c45315c4b2fe0b4d38906151d6cc723b19ba588771305

Aliases

arxiv: 1005.2229 · arxiv_version: 1005.2229v2 · doi: 10.48550/arxiv.1005.2229 · pith_short_12: GMJ6HIX5KB5T · pith_short_16: GMJ6HIX5KB5TDED4 · pith_short_8: GMJ6HIX5

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/GMJ6HIX5KB5TDED4IUYVYSZP4C \
  | 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: 3313e3a2fd507b31907c45315c4b2fe0b4d38906151d6cc723b19ba588771305

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c055767f21ffe2f569e29390e5bf308b9d96cfd04335ca287bcbdee7e107ece",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-05-12T23:37:21Z",
    "title_canon_sha256": "a27fd84b9bd27ca926ec5ed5ad5b066c96ea62503487a4064eb44f0b14cd4e1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1005.2229",
    "kind": "arxiv",
    "version": 2
  }
}