Pith Number

pith:ZXH773N3

pith:2011:ZXH773N3UMSMBJSR6GYNHYZ2Q5

not attested not anchored not stored refs pending

A proof of the classification theorem of overtwisted contact structures via convex surface theory

Yang Huang

arxiv:1102.5398 v3 · 2011-02-26 · 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{ZXH773N3UMSMBJSR6GYNHYZ2Q5}

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	2026-05-18T03:49:35.110442Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cdcfffedbba324c0a651f1b0d3e33a875a7ed81fd1717e37fdd6c1b1d26b12b0

Aliases

arxiv: 1102.5398 · arxiv_version: 1102.5398v3 · doi: 10.48550/arxiv.1102.5398 · pith_short_12: ZXH773N3UMSM · pith_short_16: ZXH773N3UMSMBJSR · pith_short_8: ZXH773N3

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/ZXH773N3UMSMBJSR6GYNHYZ2Q5 \
  | 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: cdcfffedbba324c0a651f1b0d3e33a875a7ed81fd1717e37fdd6c1b1d26b12b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37a5809f946c5f31a15df8653934429aa3345482148839ad3d38a2d75abe1e88",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2011-02-26T09:49:54Z",
    "title_canon_sha256": "c5f5113d7503471871a22519977f73345f8e0e9712a17124e77402ac990148be"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.5398",
    "kind": "arxiv",
    "version": 3
  }
}