Pith Number

pith:7AG4V4GA

pith:2011:7AG4V4GAB73ZJA5RKGDER6STV3

not attested not anchored not stored refs pending

On torsion in finitely presented groups

Maurice Chiodo

arxiv:1107.1489 v4 · 2011-07-07 · math.GR · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7AG4V4GAB73ZJA5RKGDER6STV3}

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	2026-05-18T01:01:52.727077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f80dcaf0c00ff79483b1518648fa53aec7c7be6eec7ccf1d46a734e3fb595823

Aliases

arxiv: 1107.1489 · arxiv_version: 1107.1489v4 · doi: 10.48550/arxiv.1107.1489 · pith_short_12: 7AG4V4GAB73Z · pith_short_16: 7AG4V4GAB73ZJA5R · pith_short_8: 7AG4V4GA

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/7AG4V4GAB73ZJA5RKGDER6STV3 \
  | 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: f80dcaf0c00ff79483b1518648fa53aec7c7be6eec7ccf1d46a734e3fb595823

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c491fa6944b944fc6a292718f3d96c6b0400595f943933c70b128a72e3c481e",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-07-07T19:30:26Z",
    "title_canon_sha256": "e1ae885203f8950641e3ce1943787db97f0d646134fa5711120850624f98595c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1489",
    "kind": "arxiv",
    "version": 4
  }
}