Pith Number

pith:HDWWFAD2

pith:2013:HDWWFAD2KCKECR2P6XXSBVC3PY

not attested not anchored not stored refs pending

The 2-torsion in the second homology of the genus $3$ mapping class group

Wolfgang Pitsch

arxiv:1311.5705 v4 · 2013-11-22 · math.AT · math.GR · 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{HDWWFAD2KCKECR2P6XXSBVC3PY}

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	2026-05-18T03:00:02.684437Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

38ed62807a509441474ff5ef20d45b7e035a5257db8a35759830598532837002

Aliases

arxiv: 1311.5705 · arxiv_version: 1311.5705v4 · doi: 10.48550/arxiv.1311.5705 · pith_short_12: HDWWFAD2KCKE · pith_short_16: HDWWFAD2KCKECR2P · pith_short_8: HDWWFAD2

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/HDWWFAD2KCKECR2P6XXSBVC3PY \
  | 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: 38ed62807a509441474ff5ef20d45b7e035a5257db8a35759830598532837002

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d1e536fb5f266185f2ca8fb7d4d8b6f42b25ae0fa9185bbfab8a6faf634033b7",
    "cross_cats_sorted": [
      "math.GR",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-11-22T10:40:36Z",
    "title_canon_sha256": "ac4a0b10e5f3bac5c283e4dab960bdc10d137c51e6ed0e65eb90e5a63768b82c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.5705",
    "kind": "arxiv",
    "version": 4
  }
}