Pith Number

pith:O4LJTO2G

pith:2011:O4LJTO2G5JDKSPORAWQGXUMIX6

not attested not anchored not stored refs pending

The geometry of the handlebody groups I: Distortion

Sebastian Hensel, Ursula Hamenst\"adt

arxiv:1101.1838 v2 · 2011-01-10 · 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{O4LJTO2G5JDKSPORAWQGXUMIX6}

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	2026-05-18T02:22:59.329378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

771699bb46ea46a93dd105a06bd188bf9d2a394cb998e5c67785f27323d54c87

Aliases

arxiv: 1101.1838 · arxiv_version: 1101.1838v2 · doi: 10.48550/arxiv.1101.1838 · pith_short_12: O4LJTO2G5JDK · pith_short_16: O4LJTO2G5JDKSPOR · pith_short_8: O4LJTO2G

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/O4LJTO2G5JDKSPORAWQGXUMIX6 \
  | 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: 771699bb46ea46a93dd105a06bd188bf9d2a394cb998e5c67785f27323d54c87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56585fb388f4930b6a7ef932034dab32d1a227bc413355870930b755f2e85292",
    "cross_cats_sorted": [
      "math.GT",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-01-10T15:06:01Z",
    "title_canon_sha256": "ea92e33c5bf32cac0cea5a209ff04885be127e070ea66117c125e4b20050376e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.1838",
    "kind": "arxiv",
    "version": 2
  }
}