Pith Number

pith:ZTLZBCKK

pith:2017:ZTLZBCKKSJDIIW3KY7OGLR4MIU

not attested not anchored not stored refs pending

Pseudo-Anosov homeomorphisms not arising from branched covers

Alan W. Reid, Christopher J Leininger

arxiv:1711.06881 v2 · 2017-11-18 · 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{ZTLZBCKKSJDIIW3KY7OGLR4MIU}

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	2026-05-18T00:29:36.373071Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccd790894a9246845b6ac7dc65c78c45323656dd1434676790cc53277d6d55ff

Aliases

arxiv: 1711.06881 · arxiv_version: 1711.06881v2 · doi: 10.48550/arxiv.1711.06881 · pith_short_12: ZTLZBCKKSJDI · pith_short_16: ZTLZBCKKSJDIIW3K · pith_short_8: ZTLZBCKK

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/ZTLZBCKKSJDIIW3KY7OGLR4MIU \
  | 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: ccd790894a9246845b6ac7dc65c78c45323656dd1434676790cc53277d6d55ff

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "773f18b3dd829eef8964467b7fdf9972d10e3453a846c753205c7237c3348510",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-11-18T16:00:33Z",
    "title_canon_sha256": "3f6e236afb0b1137862b33ac50146895395e9d3943fbf26357b36a460ba0e34f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.06881",
    "kind": "arxiv",
    "version": 2
  }
}