Pith Number

pith:ISNHFGI4

pith:2014:ISNHFGI4LQA4J2VNM4EE6VCT6E

not attested not anchored not stored refs pending

Handlebody subgroups in a mapping class group

Koji Fujiwara, Mladen Bestvina

arxiv:1412.7847 v2 · 2014-12-25 · 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{ISNHFGI4LQA4J2VNM4EE6VCT6E}

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	2026-05-18T01:18:10.131851Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

449a72991c5c01c4eaad67084f5453f13f34791d822f0105f0ac3d6f1f782f3b

Aliases

arxiv: 1412.7847 · arxiv_version: 1412.7847v2 · doi: 10.48550/arxiv.1412.7847 · pith_short_12: ISNHFGI4LQA4 · pith_short_16: ISNHFGI4LQA4J2VN · pith_short_8: ISNHFGI4

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/ISNHFGI4LQA4J2VNM4EE6VCT6E \
  | 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: 449a72991c5c01c4eaad67084f5453f13f34791d822f0105f0ac3d6f1f782f3b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b39abab114314beb6b05ec22b17276f5a5e609e412c7d60811de861c44befbfc",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-12-25T18:05:03Z",
    "title_canon_sha256": "c59e5594d74d01f3869f183614d77b9fe1f64f9875962919b9392ed3f643760c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1412.7847",
    "kind": "arxiv",
    "version": 2
  }
}