Pith Number

pith:NTIV5PUH

pith:2008:NTIV5PUHWNRTTVVR4KVFNA2237

not attested not anchored not stored refs pending

The asymptotic behavior of least pseudo-Anosov dilatations

Chia-Yen Tsai

arxiv:0810.0261 v2 · 2008-10-01 · math.GT · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NTIV5PUHWNRTTVVR4KVFNA2237}

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	2026-05-18T02:38:19.026094Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6cd15ebe87b36339d6b1e2aa56835adfd79187ff5d89761bd50f045864afbb43

Aliases

arxiv: 0810.0261 · arxiv_version: 0810.0261v2 · doi: 10.48550/arxiv.0810.0261 · pith_short_12: NTIV5PUHWNRT · pith_short_16: NTIV5PUHWNRTTVVR · pith_short_8: NTIV5PUH

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/NTIV5PUHWNRTTVVR4KVFNA2237 \
  | 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: 6cd15ebe87b36339d6b1e2aa56835adfd79187ff5d89761bd50f045864afbb43

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "07acd9287c7b971d3522ccbad96949e53c72240c140db25547208e4574724d02",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2008-10-01T19:46:01Z",
    "title_canon_sha256": "8f3882a76b2b35f658bfad1b8c7f2c07e93e54c5141aa90e6e024d792e65650e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0810.0261",
    "kind": "arxiv",
    "version": 2
  }
}