Pith Number

pith:Q4T2L42V

pith:2013:Q4T2L42VUNOO4QFM3TMDN4B4WA

not attested not anchored not stored refs pending

The Whitehead Conjecture, the Tower of S^1 Conjecture, and Hecke algebras of type A

Nicholas J. Kuhn

arxiv:1308.4441 v3 · 2013-08-20 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Q4T2L42VUNOO4QFM3TMDN4B4WA}

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	2026-05-18T00:44:29.574136Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8727a5f355a35cee40acdcd836f03cb0332a1375cec71bc21ca5c590267ea673

Aliases

arxiv: 1308.4441 · arxiv_version: 1308.4441v3 · doi: 10.48550/arxiv.1308.4441 · pith_short_12: Q4T2L42VUNOO · pith_short_16: Q4T2L42VUNOO4QFM · pith_short_8: Q4T2L42V

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/Q4T2L42VUNOO4QFM3TMDN4B4WA \
  | 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: 8727a5f355a35cee40acdcd836f03cb0332a1375cec71bc21ca5c590267ea673

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f5daec4a2d868cd016d95b60f752dec5f85220e52042a64a1e7f7ed1e2b9dfa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-08-20T21:35:22Z",
    "title_canon_sha256": "7bf6862744740e5d81e0d9f92b40a3bf72b3b18322111d0ceb52c7e286328921"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.4441",
    "kind": "arxiv",
    "version": 3
  }
}