Pith Number

pith:XKRKXY2W

pith:2009:XKRKXY2WCJXSLPTDGRCXQKOA5U

not attested not anchored not stored refs pending

Some groups of mapping classes not realized by diffeomorphisms

Juan Souto, Mladen Bestvina, Thomas Church

arxiv:0905.2360 v2 · 2009-05-14 · math.GT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XKRKXY2WCJXSLPTDGRCXQKOA5U}

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	2026-05-18T03:31:18.260798Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

baa2abe356126f25be6334457829c0ed2bfc0765489082a301c7806c9a6176d3

Aliases

arxiv: 0905.2360 · arxiv_version: 0905.2360v2 · doi: 10.48550/arxiv.0905.2360 · pith_short_12: XKRKXY2WCJXS · pith_short_16: XKRKXY2WCJXSLPTD · pith_short_8: XKRKXY2W

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/XKRKXY2WCJXSLPTDGRCXQKOA5U \
  | 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: baa2abe356126f25be6334457829c0ed2bfc0765489082a301c7806c9a6176d3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd7af13739d403b304c6e230d31f468cb88ac142015b7ffc3daf766ee9e09a21",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-05-14T17:27:55Z",
    "title_canon_sha256": "07b460ec803b849bca87b89cd8fb0365fe6b5a8cdd8b39f3b3a7cbb9850f06b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.2360",
    "kind": "arxiv",
    "version": 2
  }
}