Pith Number

pith:5FVBPLHV

pith:2013:5FVBPLHVPCUTVEM7UINGRZWVSR

not attested not anchored not stored refs pending

Nielsen equivalence in a class of random groups

Ilya Kapovich, Richard Weidmann

arxiv:1309.7458 v2 · 2013-09-28 · math.GR · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5FVBPLHVPCUTVEM7UINGRZWVSR}

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	2026-05-18T01:12:58.902950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e96a17acf578a93a919fa21a68e6d5945484b5b159133a0ccb04bc2e0ddd1dd4

Aliases

arxiv: 1309.7458 · arxiv_version: 1309.7458v2 · doi: 10.48550/arxiv.1309.7458 · pith_short_12: 5FVBPLHVPCUT · pith_short_16: 5FVBPLHVPCUTVEM7 · pith_short_8: 5FVBPLHV

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/5FVBPLHVPCUTVEM7UINGRZWVSR \
  | 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: e96a17acf578a93a919fa21a68e6d5945484b5b159133a0ccb04bc2e0ddd1dd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a929d105866a1d0a6d1b9990975eafad25328dec6f699a8cf57b7522062e3360",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2013-09-28T13:21:39Z",
    "title_canon_sha256": "d2ce739d039deb3362aee277bc2f7e4d2fe1feeabcb91b4ecdd15b4575d4f11a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.7458",
    "kind": "arxiv",
    "version": 2
  }
}