Pith Number

pith:YIN7WZ6N

pith:2011:YIN7WZ6N24GG7UQRHV2VC5G7AU

not attested not anchored not stored refs pending

On the structural theory of $\rm II_1$ factors of negatively curved groups

Ionut Chifan, Thomas Sinclair

arxiv:1103.4299 v3 · 2011-03-22 · math.OA · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YIN7WZ6N24GG7UQRHV2VC5G7AU}

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	2026-05-18T03:18:08.492474Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c21bfb67cdd70c6fd2113d755174df050430b2ce92dff38d74c00cc083a29555

Aliases

arxiv: 1103.4299 · arxiv_version: 1103.4299v3 · doi: 10.48550/arxiv.1103.4299 · pith_short_12: YIN7WZ6N24GG · pith_short_16: YIN7WZ6N24GG7UQR · pith_short_8: YIN7WZ6N

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/YIN7WZ6N24GG7UQRHV2VC5G7AU \
  | 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: c21bfb67cdd70c6fd2113d755174df050430b2ce92dff38d74c00cc083a29555

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a654eecd1f49030913be03c7a7e84c3057fe9e04ad3ff4746cf9c551c4acc9c2",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2011-03-22T16:28:34Z",
    "title_canon_sha256": "770d5b4069e298a2612342533e472bab5e6065ca48ab5b49255a42797ea4aad1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.4299",
    "kind": "arxiv",
    "version": 3
  }
}