Pith Number

pith:6OO7ULWQ

pith:2014:6OO7ULWQ2CBGLKVBVYZLYF4UR5

not attested not anchored not stored refs pending

Finding All Solutions of Equations in Free Groups and Monoids with Involution

Artur Je\.z, Volker Diekert, Wojciech Plandowski

arxiv:1405.5133 v2 · 2014-05-20 · cs.LO · cs.DM · 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{6OO7ULWQ2CBGLKVBVYZLYF4UR5}

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	2026-05-18T02:51:24.749465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f39dfa2ed0d08265aaa1ae32bc17948f4cc0c11382d3c06726600cdb0e50bf9c

Aliases

arxiv: 1405.5133 · arxiv_version: 1405.5133v2 · doi: 10.48550/arxiv.1405.5133 · pith_short_12: 6OO7ULWQ2CBG · pith_short_16: 6OO7ULWQ2CBGLKVB · pith_short_8: 6OO7ULWQ

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/6OO7ULWQ2CBGLKVBVYZLYF4UR5 \
  | 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: f39dfa2ed0d08265aaa1ae32bc17948f4cc0c11382d3c06726600cdb0e50bf9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e89f72b0459c69fbab5faae978d89ece71ea77bbd6dd842178d55e1f5988c62",
    "cross_cats_sorted": [
      "cs.DM",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2014-05-20T15:48:28Z",
    "title_canon_sha256": "1dd232a048c2409e244d085f0762e14c4b1e77904c7982c7dab5826c50772da5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.5133",
    "kind": "arxiv",
    "version": 2
  }
}