Pith Number

pith:2WESLCHJ

pith:2013:2WESLCHJ3GV7SQY4VO6MVNZK3H

not attested not anchored not stored refs pending

Strong accessibility for finitely presented groups

Larsen Louder, Nicholas Touikan

arxiv:1302.5451 v2 · 2013-02-21 · 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{2WESLCHJ3GV7SQY4VO6MVNZK3H}

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	2026-05-18T00:42:33.758562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d5892588e9d9abf9431cabbccab72ad9db04cc2badc4361163ce2ed6986b5b0b

Aliases

arxiv: 1302.5451 · arxiv_version: 1302.5451v2 · doi: 10.48550/arxiv.1302.5451 · pith_short_12: 2WESLCHJ3GV7 · pith_short_16: 2WESLCHJ3GV7SQY4 · pith_short_8: 2WESLCHJ

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/2WESLCHJ3GV7SQY4VO6MVNZK3H \
  | 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: d5892588e9d9abf9431cabbccab72ad9db04cc2badc4361163ce2ed6986b5b0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9da0105d2172fde2beb73fa45f17387cb4caca2b9d14731bae5349ca7f833e3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-02-21T23:22:25Z",
    "title_canon_sha256": "7aaecf42b04aece4c446741ddb9d1dce7cce5c5b5af8a5a60dbe9dc6bd38743a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.5451",
    "kind": "arxiv",
    "version": 2
  }
}