Pith Number

pith:UZQKGCHK

pith:2011:UZQKGCHKSV2RAQFCBIERMJXH7K

not attested not anchored not stored refs pending

On pseudo-Anosov mapping classes with minimum dilatation and Lanneau-Thiffeault numbers

Joan S. Birman

arxiv:1101.2383 v2 · 2011-01-12 · 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{UZQKGCHKSV2RAQFCBIERMJXH7K}

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	2026-05-18T02:22:58.213269Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a660a308ea95751040a20a091626e7faac0b6b82668ab8d06da6288b7d705b02

Aliases

arxiv: 1101.2383 · arxiv_version: 1101.2383v2 · doi: 10.48550/arxiv.1101.2383 · pith_short_12: UZQKGCHKSV2R · pith_short_16: UZQKGCHKSV2RAQFC · pith_short_8: UZQKGCHK

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/UZQKGCHKSV2RAQFCBIERMJXH7K \
  | 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: a660a308ea95751040a20a091626e7faac0b6b82668ab8d06da6288b7d705b02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7218262956a79f562d4b78dc8eab8992fb6cb876251b3eafc6490a0915f31a55",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-01-12T15:16:20Z",
    "title_canon_sha256": "19e5985db7ed6b8c3211df6bed545399feb611577cbb7379c11473888f3611b8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2383",
    "kind": "arxiv",
    "version": 2
  }
}