Pith Number

pith:GOOKMZ3P

pith:2014:GOOKMZ3PN5KHEB4XZE2UYE3OML

not attested not anchored not stored refs pending

On the length of finite factorized groups

E. I. Khukhro, P. Shumyatsky

arxiv:1405.1899 v1 · 2014-05-08 · 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{GOOKMZ3PN5KHEB4XZE2UYE3OML}

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	2026-05-18T02:52:15.191145Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

339ca6676f6f54720797c9354c136e62ef7da22a304cf69858bcc02610318b6f

Aliases

arxiv: 1405.1899 · arxiv_version: 1405.1899v1 · doi: 10.48550/arxiv.1405.1899 · pith_short_12: GOOKMZ3PN5KH · pith_short_16: GOOKMZ3PN5KHEB4X · pith_short_8: GOOKMZ3P

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/GOOKMZ3PN5KHEB4XZE2UYE3OML \
  | 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: 339ca6676f6f54720797c9354c136e62ef7da22a304cf69858bcc02610318b6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bec27de0abd7777a645b70f118f9e285de893609031e60e665998a622dc072bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-05-08T12:04:32Z",
    "title_canon_sha256": "476cbc980da357c1b797008ef00045dd22cff11f5805be7cbf2094bb5e180ca2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.1899",
    "kind": "arxiv",
    "version": 1
  }
}