Pith Number

pith:PK2HTKCH

pith:2014:PK2HTKCHZGP2CNEBB3Y7YOH4MY

not attested not anchored not stored refs pending

The weak Haagerup property

S{\o}ren Knudby

arxiv:1401.7541 v1 · 2014-01-29 · 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{PK2HTKCHZGP2CNEBB3Y7YOH4MY}

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	2026-05-18T01:04:33.644374Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7ab479a847c99fa134810ef1fc38fc663ee85f7617995345b600f74040d096b8

Aliases

arxiv: 1401.7541 · arxiv_version: 1401.7541v1 · doi: 10.48550/arxiv.1401.7541 · pith_short_12: PK2HTKCHZGP2 · pith_short_16: PK2HTKCHZGP2CNEB · pith_short_8: PK2HTKCH

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/PK2HTKCHZGP2CNEBB3Y7YOH4MY \
  | 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: 7ab479a847c99fa134810ef1fc38fc663ee85f7617995345b600f74040d096b8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7925d6963ffe1437aa8ee1315dc448d4f6708ff007669da91adc559348a9157",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OA",
    "submitted_at": "2014-01-29T15:26:28Z",
    "title_canon_sha256": "3a94263cf29d73bd1ed6a2d730c3aa956399ebd28af1df1337514d121956395e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.7541",
    "kind": "arxiv",
    "version": 1
  }
}