Pith Number

pith:U7QW7XKR

pith:2018:U7QW7XKRTROTHZIF34LFRSZ6YS

not attested not anchored not stored refs pending

The Geometry of the Handlebody Groups II: Dehn functions

Sebastian Hensel, Ursula Hamenst\"adt

arxiv:1804.11133 v1 · 2018-04-30 · math.GR · math.GT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U7QW7XKRTROTHZIF34LFRSZ6YS}

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	2026-05-18T00:17:14.537233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a7e16fdd519c5d33e505df1658cb3ec49d3b788769e6a6d9fc3326204638ff27

Aliases

arxiv: 1804.11133 · arxiv_version: 1804.11133v1 · doi: 10.48550/arxiv.1804.11133 · pith_short_12: U7QW7XKRTROT · pith_short_16: U7QW7XKRTROTHZIF · pith_short_8: U7QW7XKR

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/U7QW7XKRTROTHZIF34LFRSZ6YS \
  | 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: a7e16fdd519c5d33e505df1658cb3ec49d3b788769e6a6d9fc3326204638ff27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "510e109282dfbaf2697902d8c35b01585958562fa2ef1f4933da7d93c5ee66b0",
    "cross_cats_sorted": [
      "math.GT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2018-04-30T11:49:39Z",
    "title_canon_sha256": "453a3ad1d58efda23e2b4fe4df26dea957fd2a6b22a341ff5136f2918797ade6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.11133",
    "kind": "arxiv",
    "version": 1
  }
}