Pith Number

pith:AHUWGCTX

pith:2005:AHUWGCTXX2ZJ3AAJESKVLBKCYL

not attested not anchored not stored refs pending

The unstable integral homology of the mapping class groups of a surface with boundary

Veronique Godin

arxiv:math/0501304 v2 · 2005-01-19 · math.AT · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AHUWGCTXX2ZJ3AAJESKVLBKCYL}

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	2026-05-18T04:08:35.818058Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

01e9630a77beb29d80092495558542c2e45a80a2c5dd12b513fdd7fed071d6a7

Aliases

arxiv: math/0501304 · arxiv_version: math/0501304v2 · doi: 10.48550/arxiv.math/0501304 · pith_short_12: AHUWGCTXX2ZJ · pith_short_16: AHUWGCTXX2ZJ3AAJ · pith_short_8: AHUWGCTX

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/AHUWGCTXX2ZJ3AAJESKVLBKCYL \
  | 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: 01e9630a77beb29d80092495558542c2e45a80a2c5dd12b513fdd7fed071d6a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98b91788d125d4cf607a5c165b99ae1fb868894b8ae0a69cb5a768f4af0bfb99",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.AT",
    "submitted_at": "2005-01-19T21:49:46Z",
    "title_canon_sha256": "807de0b13cff8539ba2719f52a7d6986a45fd16751574d275c67a6bd3af56ddf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0501304",
    "kind": "arxiv",
    "version": 2
  }
}