Pith Number

pith:HKV6OLAY

pith:2011:HKV6OLAY3FI5PDGCDPYI5N6EVO

not attested not anchored not stored refs pending

A short exposition of the Madsen-Weiss theorem

Allen Hatcher

arxiv:1103.5223 v2 · 2011-03-27 · math.GT · 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{HKV6OLAY3FI5PDGCDPYI5N6EVO}

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	2026-05-18T02:59:45.577167Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3aabe72c18d951d78cc21bf08eb7c4ab9a2617329834aa001c0db937f2b1f9f1

Aliases

arxiv: 1103.5223 · arxiv_version: 1103.5223v2 · doi: 10.48550/arxiv.1103.5223 · pith_short_12: HKV6OLAY3FI5 · pith_short_16: HKV6OLAY3FI5PDGC · pith_short_8: HKV6OLAY

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/HKV6OLAY3FI5PDGCDPYI5N6EVO \
  | 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: 3aabe72c18d951d78cc21bf08eb7c4ab9a2617329834aa001c0db937f2b1f9f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a68cde840c477cfe14ee43d5fef18ba407355130e3e6102583c22052e9a5a603",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-03-27T15:10:32Z",
    "title_canon_sha256": "75b6eed959316c300b2bae4611eedd6fd47b509ef54b7ef2c9a434e0de6ad537"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5223",
    "kind": "arxiv",
    "version": 2
  }
}