Pith Number

pith:JFYPZPLP

pith:2010:JFYPZPLPJ3F4OWXHUXSE3KVPIW

not attested not anchored not stored refs pending

One-cohomology and the uniqueness of the group measure space decomposition of a II_1 factor

Stefaan Vaes

arxiv:1012.5377 v2 · 2010-12-24 · 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{JFYPZPLPJ3F4OWXHUXSE3KVPIW}

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	2026-05-18T03:36:37.266202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4970fcbd6f4ecbc75ae7a5e44daaaf45942e280cdf2c4973630c508adc233c95

Aliases

arxiv: 1012.5377 · arxiv_version: 1012.5377v2 · doi: 10.48550/arxiv.1012.5377 · pith_short_12: JFYPZPLPJ3F4 · pith_short_16: JFYPZPLPJ3F4OWXH · pith_short_8: JFYPZPLP

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/JFYPZPLPJ3F4OWXHUXSE3KVPIW \
  | 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: 4970fcbd6f4ecbc75ae7a5e44daaaf45942e280cdf2c4973630c508adc233c95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "070f835af5e7ff91f8399e0c13bb2ae9e0992cbf99f40ff22278332cdea9dbea",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2010-12-24T09:52:15Z",
    "title_canon_sha256": "fabdd134762f77f4b1f095b122c446964911a0f9c91e1b583b14835b6d75ce83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.5377",
    "kind": "arxiv",
    "version": 2
  }
}