Pith Number

pith:7CJL324I

pith:2006:7CJL324IALMQJDGA4UP3IDH6UZ

not attested not anchored not stored refs pending

Homeomorphisms which are Dehn twists on the boundary

Darryl McCullough

arxiv:math/0604358 v2 · 2006-04-16 · 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{7CJL324IALMQJDGA4UP3IDH6UZ}

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.

Cited by

1 paper in Pith

Abelianizations of finite-index subgroups of the handlebody group

Receipt and verification

First computed	2026-07-04T15:41:38.975339Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f892bdeb8802d9048cc0e51fb40cfea642a9c92a7309078eb5b966e97c885c05

Aliases

arxiv: math/0604358 · arxiv_version: math/0604358v2 · doi: 10.48550/arxiv.math/0604358 · pith_short_12: 7CJL324IALMQ · pith_short_16: 7CJL324IALMQJDGA · pith_short_8: 7CJL324I

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/7CJL324IALMQJDGA4UP3IDH6UZ \
  | 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: f892bdeb8802d9048cc0e51fb40cfea642a9c92a7309078eb5b966e97c885c05

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2db8413d2f0057464c7f8535c34d9ac103aa1f4584b793e134350b2ef3092433",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2006-04-16T20:29:43Z",
    "title_canon_sha256": "19bc645f3dbb2086433850eaffc8600d0df5a50b06c9f459fe7f8655b8fafc1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0604358",
    "kind": "arxiv",
    "version": 2
  }
}