Pith Number

pith:Z3D3RIRO

pith:2010:Z3D3RIRO3RRAOUS7NCPYSMOPB7

not attested not anchored not stored refs pending

On the minimum dilatation of braids on punctured discs

Erwan Lanneau, Jean-Luc Thiffeault

arxiv:1004.5344 v1 · 2010-04-29 · 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{Z3D3RIRO3RRAOUS7NCPYSMOPB7}

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	2026-05-18T03:12:35.448634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cec7b8a22edc6207525f689f8931cf0ff44b0ad45cba90fc32b5b0f003dd6ea6

Aliases

arxiv: 1004.5344 · arxiv_version: 1004.5344v1 · doi: 10.48550/arxiv.1004.5344 · pith_short_12: Z3D3RIRO3RRA · pith_short_16: Z3D3RIRO3RRAOUS7 · pith_short_8: Z3D3RIRO

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/Z3D3RIRO3RRAOUS7NCPYSMOPB7 \
  | 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: cec7b8a22edc6207525f689f8931cf0ff44b0ad45cba90fc32b5b0f003dd6ea6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7326cb6f8a688c19666d2b72ac39adab6f29f8f08a54b9fe0542a6c5c3fe5d3b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-04-29T17:12:18Z",
    "title_canon_sha256": "6ef2a392aeb98a369e677b226281dc4a36d4cf9bfcdc4809579ff95e11fcd098"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.5344",
    "kind": "arxiv",
    "version": 1
  }
}