Pith Number

pith:GU4R37E3

pith:2015:GU4R37E3F37KKJKVHVVCVSKEJW

not attested not anchored not stored refs pending

Finite groups have more conjugacy classes

Attila Mar\'oti, Barbara Baumeister, Hung P. Tong-Viet

arxiv:1503.04046 v1 · 2015-03-13 · 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{GU4R37E3F37KKJKVHVVCVSKEJW}

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	2026-05-18T02:23:57.260899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

35391dfc9b2efea525553d6a2ac9444d97553910d7e2205694039bc00a4806da

Aliases

arxiv: 1503.04046 · arxiv_version: 1503.04046v1 · doi: 10.48550/arxiv.1503.04046 · pith_short_12: GU4R37E3F37K · pith_short_16: GU4R37E3F37KKJKV · pith_short_8: GU4R37E3

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/GU4R37E3F37KKJKVHVVCVSKEJW \
  | 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: 35391dfc9b2efea525553d6a2ac9444d97553910d7e2205694039bc00a4806da

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f8c6e3193a028cced004c70a9b8f090683c8586275da00a91f6c2b30ff2e1c6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2015-03-13T13:04:34Z",
    "title_canon_sha256": "0441c3dbee083d86b849b29fa2cad67b1f281aa0cc832d4f6bf2d228204edc03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.04046",
    "kind": "arxiv",
    "version": 1
  }
}