Pith Number

pith:TKE46QF7

pith:2012:TKE46QF7TBGHPD5WWLORLOQAIH

not attested not anchored not stored refs pending

Infinitely presented small cancellation groups have the Haagerup property

Damian Osajda, Goulnara Arzhantseva

arxiv:1212.4866 v4 · 2012-12-19 · math.GR · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TKE46QF7TBGHPD5WWLORLOQAIH}

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	2026-05-18T02:29:45.793766Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a89cf40bf984c778fb6b2dd15ba0041fa8a991512c7034234c2c47e6ab2af10

Aliases

arxiv: 1212.4866 · arxiv_version: 1212.4866v4 · doi: 10.48550/arxiv.1212.4866 · pith_short_12: TKE46QF7TBGH · pith_short_16: TKE46QF7TBGHPD5W · pith_short_8: TKE46QF7

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/TKE46QF7TBGHPD5WWLORLOQAIH \
  | 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: 9a89cf40bf984c778fb6b2dd15ba0041fa8a991512c7034234c2c47e6ab2af10

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0b7381b382fc467de0fc930fef72ac4bef263aefc4d0000ab1ddbb602ac56b7",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-12-19T21:53:47Z",
    "title_canon_sha256": "b94b6e3adba2a15d2c4f518454077e10986860683a9b967718db6a993a6c28ef"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.4866",
    "kind": "arxiv",
    "version": 4
  }
}