Pith Number

pith:MAEV33JO

pith:2014:MAEV33JOR6TM5Y6RK4M73QDXAG

not attested not anchored not stored refs pending

Vanishing of the first continuous L^2-cohomology for II_1 factors

Sorin Popa, Stefaan Vaes

arxiv:1401.1186 v2 · 2014-01-06 · 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{MAEV33JOR6TM5Y6RK4M73QDXAG}

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	2026-05-18T02:54:30.370998Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

60095ded2e8fa6cee3d15719fdc07701984c60d0cd78544d2d582dcc0b482e81

Aliases

arxiv: 1401.1186 · arxiv_version: 1401.1186v2 · doi: 10.48550/arxiv.1401.1186 · pith_short_12: MAEV33JOR6TM · pith_short_16: MAEV33JOR6TM5Y6R · pith_short_8: MAEV33JO

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/MAEV33JOR6TM5Y6RK4M73QDXAG \
  | 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: 60095ded2e8fa6cee3d15719fdc07701984c60d0cd78544d2d582dcc0b482e81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "081041db176680512c88f7a4c00de5339ffe69b33aac893e2b5a90df9ba86f34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-01-06T20:11:16Z",
    "title_canon_sha256": "65926d52c4c67051d61b09bd3d3c86fd247a41707cbd87973ec10de140df45cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.1186",
    "kind": "arxiv",
    "version": 2
  }
}