Pith Number

pith:FX75SIKC

pith:2004:FX75SIKCBHFTN3BGF7P2FJBAKU

not attested not anchored not stored refs pending

The Kervaire-Laudenbach conjecture and presentations of simple groups

Anton A. Klyachko

arxiv:math/0409146 v1 · 2004-09-09 · 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{FX75SIKCBHFTN3BGF7P2FJBAKU}

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	2026-05-18T01:05:25.997400Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2dffd9214209cb36ec262fdfa2a420553fbde14178977e306e3e87ab05aa9eac

Aliases

arxiv: math/0409146 · arxiv_version: math/0409146v1 · doi: 10.48550/arxiv.math/0409146 · pith_short_12: FX75SIKCBHFT · pith_short_16: FX75SIKCBHFTN3BG · pith_short_8: FX75SIKC

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/FX75SIKCBHFTN3BGF7P2FJBAKU \
  | 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: 2dffd9214209cb36ec262fdfa2a420553fbde14178977e306e3e87ab05aa9eac

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d13d2cfa3ef1ba1a6b210ec562a6fa5703f05c4190e93a58e1c5fec09327d626",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.GR",
    "submitted_at": "2004-09-09T06:14:01Z",
    "title_canon_sha256": "1802b8f11e8725bec7a39b80ab4dfa25d75b659aa9aaaa67700812b9cee99ee8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0409146",
    "kind": "arxiv",
    "version": 1
  }
}