Pith Number

pith:P6KFYUDW

pith:2013:P6KFYUDWGL3CNJH4Q45E6KNQWX

not attested not anchored not stored refs pending

Algebraic reformulation of Connes embedding problem and the free group algebra

Kate Juschenko, Stanislav Popovych

arxiv:1306.2163 v1 · 2013-06-10 · 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{P6KFYUDWGL3CNJH4Q45E6KNQWX}

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	2026-05-18T03:21:22.172446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f945c507632f626a4fc873a4f29b0b5fdf1c5fb0caee2198fd7e604fb29a258

Aliases

arxiv: 1306.2163 · arxiv_version: 1306.2163v1 · doi: 10.48550/arxiv.1306.2163 · pith_short_12: P6KFYUDWGL3C · pith_short_16: P6KFYUDWGL3CNJH4 · pith_short_8: P6KFYUDW

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/P6KFYUDWGL3CNJH4Q45E6KNQWX \
  | 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: 7f945c507632f626a4fc873a4f29b0b5fdf1c5fb0caee2198fd7e604fb29a258

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df0468acf8ab48184bf121eeae0a9611286138cdd4e1df156e63adc346a87b74",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2013-06-10T10:54:25Z",
    "title_canon_sha256": "eb2809abbb8aca2d32a558bda2bf41494d41ec5688b5596f811f226ae6a7c8f8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.2163",
    "kind": "arxiv",
    "version": 1
  }
}