Pith Number

pith:7TISOFH4

pith:2014:7TISOFH47CIJCSONXH2RDQ564D

not attested not anchored not stored refs pending

Infinite systolic groups are not torsion

Tomasz Prytu{\l}a

arxiv:1402.4421 v3 · 2014-02-18 · 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{7TISOFH47CIJCSONXH2RDQ564D}

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	2026-05-17T23:49:28.343756Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fcd12714fcf8909149cdb9f511c3bee0d5a2b23d8a2d46a833988073f2cebddb

Aliases

arxiv: 1402.4421 · arxiv_version: 1402.4421v3 · doi: 10.48550/arxiv.1402.4421 · pith_short_12: 7TISOFH47CIJ · pith_short_16: 7TISOFH47CIJCSON · pith_short_8: 7TISOFH4

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/7TISOFH47CIJCSONXH2RDQ564D \
  | 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: fcd12714fcf8909149cdb9f511c3bee0d5a2b23d8a2d46a833988073f2cebddb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e2c0fb3fbd80cd41859c05112cf7c973cceec31e2ee2ba697a6982c1e24f2ca4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-02-18T17:51:59Z",
    "title_canon_sha256": "7ecd8a768d6a2c4ed5938027a2fcc00193b9cd5f0f4040fa52d31d67e89681d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1402.4421",
    "kind": "arxiv",
    "version": 3
  }
}