Pith Number

pith:JK3ACX7A

pith:2010:JK3ACX7A4TH7DNQG5RQLNAG3TF

not attested not anchored not stored refs pending

Bowen's construction for the Teichmueller flow

Ursula Hamenstaedt

arxiv:1007.2289 v2 · 2010-07-14 · math.DS · 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{JK3ACX7A4TH7DNQG5RQLNAG3TF}

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	2026-05-18T04:31:52.299645Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4ab6015fe0e4cff1b606ec60b680db99522242e70268a87488424c3f462ea423

Aliases

arxiv: 1007.2289 · arxiv_version: 1007.2289v2 · doi: 10.48550/arxiv.1007.2289 · pith_short_12: JK3ACX7A4TH7 · pith_short_16: JK3ACX7A4TH7DNQG · pith_short_8: JK3ACX7A

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/JK3ACX7A4TH7DNQG5RQLNAG3TF \
  | 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: 4ab6015fe0e4cff1b606ec60b680db99522242e70268a87488424c3f462ea423

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b1b76a3e7dae64681b38fa58bcdaceb69d754a5fa205fb71a16261c313ca3c7",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-07-14T10:09:23Z",
    "title_canon_sha256": "f7032d51aca30d69d5abcf29774db0ce66df2f2a7c185a11c7bebfa9968b592d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2289",
    "kind": "arxiv",
    "version": 2
  }
}