Pith Number

pith:WNAI5XF6

pith:2019:WNAI5XF65IPKMORTKY5RF6BHVV

not attested not anchored not stored refs pending

Torsion groups do not act on $2$-dimensional $\mathrm{CAT}(0)$ complexes

Damian Osajda, Piotr Przytycki, Sergey Norin

arxiv:1902.02457 v3 · 2019-02-07 · 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{WNAI5XF65IPKMORTKY5RF6BHVV}

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	2026-07-05T03:51:02.994168Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3408edcbeea1ea63a33563b12f827ad442c848d5b20cc63e9b188f2cbf995d9

Aliases

arxiv: 1902.02457 · arxiv_version: 1902.02457v3 · doi: 10.48550/arxiv.1902.02457 · pith_short_12: WNAI5XF65IPK · pith_short_16: WNAI5XF65IPKMORT · pith_short_8: WNAI5XF6

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/WNAI5XF65IPKMORTKY5RF6BHVV \
  | 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: b3408edcbeea1ea63a33563b12f827ad442c848d5b20cc63e9b188f2cbf995d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "908718224882d7c5887996c684e7dac8393e774ff90c43e4926c5cf8a03d945b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2019-02-07T03:21:23Z",
    "title_canon_sha256": "486716b312d1d9542ccb86706a2063b8cb66674f3e8cc8e97604c67815fead03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.02457",
    "kind": "arxiv",
    "version": 3
  }
}