Pith Number

pith:BZ3IUOIR

pith:2018:BZ3IUOIRVMEDQS7DSUDCEXD45V

not attested not anchored not stored refs pending

Conjugacy growth of commutators

Peter S. Park

arxiv:1802.09507 v3 · 2018-02-26 · math.GR · math.CO · math.DS · math.GT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BZ3IUOIRVMEDQS7DSUDCEXD45V}

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	2026-05-17T23:54:25.286721Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e768a3911ab08384be39506225c7ced41493329a84c0db17d759b104714bac4

Aliases

arxiv: 1802.09507 · arxiv_version: 1802.09507v3 · doi: 10.48550/arxiv.1802.09507 · pith_short_12: BZ3IUOIRVMED · pith_short_16: BZ3IUOIRVMEDQS7D · pith_short_8: BZ3IUOIR

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/BZ3IUOIRVMEDQS7DSUDCEXD45V \
  | 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: 0e768a3911ab08384be39506225c7ced41493329a84c0db17d759b104714bac4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0a640a248defca1fb411ee1573779a38a2c107922fa0fac9d5be231ca7eae22a",
    "cross_cats_sorted": [
      "math.CO",
      "math.DS",
      "math.GT",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-02-26T18:48:32Z",
    "title_canon_sha256": "34e3e39f55779cdae38d7e8e0ef2e7ff571c8feb8b4fda35db37878a58a12b33"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.09507",
    "kind": "arxiv",
    "version": 3
  }
}