Pith Number

pith:KQVTQ5AW

pith:2005:KQVTQ5AWEK4WWEB5GN7XU4NEEE

not attested not anchored not stored refs pending

An infinite genus mapping class group and stable cohomology

Christophe Kapoudjian, Louis Funar

arxiv:math/0506400 v2 · 2005-06-20 · 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{KQVTQ5AWEK4WWEB5GN7XU4NEEE}

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	2026-05-18T01:38:24.965201Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

542b38741622b96b103d337f7a71a42131f2251adde63da9186c03da722fc416

Aliases

arxiv: math/0506400 · arxiv_version: math/0506400v2 · doi: 10.48550/arxiv.math/0506400 · pith_short_12: KQVTQ5AWEK4W · pith_short_16: KQVTQ5AWEK4WWEB5 · pith_short_8: KQVTQ5AW

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/KQVTQ5AWEK4WWEB5GN7XU4NEEE \
  | 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: 542b38741622b96b103d337f7a71a42131f2251adde63da9186c03da722fc416

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81c62a0d2fbd1f0078b41fc36522025b03d79e6e7d2d9de04058a56559de3e8f",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2005-06-20T14:25:29Z",
    "title_canon_sha256": "28797fb73c0f3cb6bea25d90e9a9506b4fe09d6dba20da252f66408835279b3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0506400",
    "kind": "arxiv",
    "version": 2
  }
}