Pith Number

pith:NYJYCJD4

pith:2016:NYJYCJD4O54NWTCSK3LQQQ3TB7

not attested not anchored not stored refs pending

Is a typical bi-Perron number a pseudo-Anosov dilatation?

Ahmad Rafiqi, Chenxi Wu, Hyungryul Baik

arxiv:1612.03084 v3 · 2016-12-09 · math.GT · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NYJYCJD4O54NWTCSK3LQQQ3TB7}

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	2026-05-18T00:54:15.237305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e1381247c7778db4c5256d70843730fd1c52528f83a27dfc8dde11ef2798b43

Aliases

arxiv: 1612.03084 · arxiv_version: 1612.03084v3 · doi: 10.48550/arxiv.1612.03084 · pith_short_12: NYJYCJD4O54N · pith_short_16: NYJYCJD4O54NWTCS · pith_short_8: NYJYCJD4

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/NYJYCJD4O54NWTCSK3LQQQ3TB7 \
  | 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: 6e1381247c7778db4c5256d70843730fd1c52528f83a27dfc8dde11ef2798b43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "702fed8617ade1c2c1b8eb00175b70f54d48444edf579036ce7b264726d3146e",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-12-09T16:44:01Z",
    "title_canon_sha256": "2c03129e764a870ed8fad37c29aabb78f72b1e6b7700a3a9a77589175dacc11e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.03084",
    "kind": "arxiv",
    "version": 3
  }
}