Pith Number

pith:D3WTZECX

pith:2010:D3WTZECXWOR7ATZPXKX5VAUEUC

not attested not anchored not stored refs pending

On the local-indicability Cohen-Lyndon Theorem

Peter A. Linnell, Warren Dicks, Yago Antol\'in

arxiv:1002.1934 v1 · 2010-02-09 · 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{D3WTZECXWOR7ATZPXKX5VAUEUC}

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	2026-05-18T04:16:12.242476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1eed3c9057b3a3f04f2fbaafda8284a097cd39d30dffd33efd49fd3ed466aa1b

Aliases

arxiv: 1002.1934 · arxiv_version: 1002.1934v1 · doi: 10.48550/arxiv.1002.1934 · pith_short_12: D3WTZECXWOR7 · pith_short_16: D3WTZECXWOR7ATZP · pith_short_8: D3WTZECX

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/D3WTZECXWOR7ATZPXKX5VAUEUC \
  | 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: 1eed3c9057b3a3f04f2fbaafda8284a097cd39d30dffd33efd49fd3ed466aa1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9dd4a7fee82f8ca5084bf2327e341b4dad334879dbcb35c5f0ff6510ef9946ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2010-02-09T18:15:39Z",
    "title_canon_sha256": "40bad60f0395d22e19c8f3ab944f1be779457e4b567b020d1de4e27f1f3893aa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.1934",
    "kind": "arxiv",
    "version": 1
  }
}