Pith Number

pith:4J6NMEQF

pith:2014:4J6NMEQFXVU5JVEDRJVV6M37GI

not attested not anchored not stored refs pending

Hochschild cohomology of type II$_1$ von Neumann algebras with Property $\Gamma$

Junhao Shen, Wenhua Qian

arxiv:1407.0664 v2 · 2014-07-02 · 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{4J6NMEQFXVU5JVEDRJVV6M37GI}

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	2026-05-18T02:37:51.679167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e27cd61205bd69d4d4838a6b5f337f3233d34283d3f795ed46790888d8760110

Aliases

arxiv: 1407.0664 · arxiv_version: 1407.0664v2 · doi: 10.48550/arxiv.1407.0664 · pith_short_12: 4J6NMEQFXVU5 · pith_short_16: 4J6NMEQFXVU5JVED · pith_short_8: 4J6NMEQF

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/4J6NMEQFXVU5JVEDRJVV6M37GI \
  | 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: e27cd61205bd69d4d4838a6b5f337f3233d34283d3f795ed46790888d8760110

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80e9f52915e1d093acce23844f85eb88f377bb98a260fc40ded48ea5c44b3bf0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-07-02T18:01:30Z",
    "title_canon_sha256": "716c47ddff0c3abd669fa057084e1116e529b74c09d5810887677236f4ac0786"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.0664",
    "kind": "arxiv",
    "version": 2
  }
}