Pith Number

pith:IEUZKSJD

pith:2004:IEUZKSJD34LJAE3WMFMIZVRLCS

not attested not anchored not stored refs pending

The Weinstein Conjecture for Planar Contact Structures in Dimension Three

Casim Abbas, Helmut Hofer, Kai Cieliebak

arxiv:math/0409355 v2 · 2004-09-20 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IEUZKSJD34LJAE3WMFMIZVRLCS}

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	2026-05-18T01:05:25.962488Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4129954923df1690137661588cd62b14a0ce3b95af7e5e7a7753e3507a6bb557

Aliases

arxiv: math/0409355 · arxiv_version: math/0409355v2 · doi: 10.48550/arxiv.math/0409355 · pith_short_12: IEUZKSJD34LJ · pith_short_16: IEUZKSJD34LJAE3W · pith_short_8: IEUZKSJD

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/IEUZKSJD34LJAE3WMFMIZVRLCS \
  | 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: 4129954923df1690137661588cd62b14a0ce3b95af7e5e7a7753e3507a6bb557

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7debd07759b1b884b9db9cb3f53882d2680f8eb3e9e3aa0cd222006a1d0099c6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.SG",
    "submitted_at": "2004-09-20T14:08:43Z",
    "title_canon_sha256": "c733c66bb1f59ca84598f6281e7e7a2745a8fddee43ae9f1953f3816bf22a670"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0409355",
    "kind": "arxiv",
    "version": 2
  }
}