Pith Number

pith:I6QOAIZT

pith:2014:I6QOAIZT6LJXDGB3BYTPBRS3AF

not attested not anchored not stored refs pending

The weak Haagerup property II: Examples

S{\o}ren Knudby, Uffe Haagerup

arxiv:1405.5820 v2 · 2014-05-22 · math.OA · math.FA · 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{I6QOAIZT6LJXDGB3BYTPBRS3AF}

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	2026-05-18T01:04:33.595164Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

47a0e02333f2d371983b0e26f0c65b01426d0baa2e180a9e2e613d653d768903

Aliases

arxiv: 1405.5820 · arxiv_version: 1405.5820v2 · doi: 10.48550/arxiv.1405.5820 · pith_short_12: I6QOAIZT6LJX · pith_short_16: I6QOAIZT6LJXDGB3 · pith_short_8: I6QOAIZT

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/I6QOAIZT6LJXDGB3BYTPBRS3AF \
  | 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: 47a0e02333f2d371983b0e26f0c65b01426d0baa2e180a9e2e613d653d768903

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "799064c416c3d8c147b90b37afebf903f18343947062c87962beff493ef0cfd8",
    "cross_cats_sorted": [
      "math.FA",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-05-22T16:29:05Z",
    "title_canon_sha256": "16111f8a1ca67703705532323a12400816289ba076bf59db31d329f7b45e99b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.5820",
    "kind": "arxiv",
    "version": 2
  }
}