Pith Number

pith:YKF53ZIW

pith:2009:YKF53ZIWGDPU24XA2F6V6UQRNZ

not attested not anchored not stored refs pending

Reeb foliations on S^5 and contact 5-manifolds violating the Thurston-Bennequin inequality

Atsuhide Mori

arxiv:0906.3237 v3 · 2009-06-17 · 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{YKF53ZIWGDPU24XA2F6V6UQRNZ}

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	2026-05-18T02:02:15.747514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c28bdde51630df4d72e0d17d5f52116e6b0c44da2bcd7d858640be539948abe6

Aliases

arxiv: 0906.3237 · arxiv_version: 0906.3237v3 · doi: 10.48550/arxiv.0906.3237 · pith_short_12: YKF53ZIWGDPU · pith_short_16: YKF53ZIWGDPU24XA · pith_short_8: YKF53ZIW

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/YKF53ZIWGDPU24XA2F6V6UQRNZ \
  | 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: c28bdde51630df4d72e0d17d5f52116e6b0c44da2bcd7d858640be539948abe6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5cffebd1f8a9bbdd3831d897a9fb39751daffe4db317822d9909158a757c2805",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2009-06-17T16:25:50Z",
    "title_canon_sha256": "2cc9b03a4cf0a3525ad9dde5a21b14a2ee5a411452cf2595cc2f75afe7cfd1ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.3237",
    "kind": "arxiv",
    "version": 3
  }
}