Pith Number

pith:WD32QLCT

pith:2000:WD32QLCTUGBC3MK3MOZ6PWY2TC

not attested not anchored not stored refs pending

On a conjecture of Atiyah

A. Zuk, P. Linnell, R.I. Grigorchuk, T. Schick

arxiv:math/0009175 v1 · 2000-09-19 · math.GT · math.AT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WD32QLCTUGBC3MK3MOZ6PWY2TC}

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	2026-05-18T01:38:30.172727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0f7a82c53a1822db15b63b3e7db1a98b87868f37630d42e31a48aa4db9164d2

Aliases

arxiv: math/0009175 · arxiv_version: math/0009175v1 · doi: 10.48550/arxiv.math/0009175 · pith_short_12: WD32QLCTUGBC · pith_short_16: WD32QLCTUGBC3MK3 · pith_short_8: WD32QLCT

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/WD32QLCTUGBC3MK3MOZ6PWY2TC \
  | 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: b0f7a82c53a1822db15b63b3e7db1a98b87868f37630d42e31a48aa4db9164d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94e1326c02c4640767ef369f57a9871d4e123971be60ba97b35e455d8eadf092",
    "cross_cats_sorted": [
      "math.AT",
      "math.KT"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2000-09-19T12:16:52Z",
    "title_canon_sha256": "f58700f41875d2f4de2c1b81406e513e34c252114e2c2cf323e7a10ba93cb4b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0009175",
    "kind": "arxiv",
    "version": 1
  }
}