Pith Number

pith:37YL7CUK

pith:2013:37YL7CUKWWJTBRHOHY7Z3WQAQZ

not attested not anchored not stored refs pending

An obstruction for existence of codimension two contact embeddings in a Darboux chart

Naohiko Kasuya

arxiv:1305.2423 v1 · 2013-05-10 · 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{37YL7CUKWWJTBRHOHY7Z3WQAQZ}

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	2026-05-18T03:25:57.903633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dff0bf8a8ab59330c4ee3e3f9dda008658edb366ae95e81f397f0ae79e2a1743

Aliases

arxiv: 1305.2423 · arxiv_version: 1305.2423v1 · doi: 10.48550/arxiv.1305.2423 · pith_short_12: 37YL7CUKWWJT · pith_short_16: 37YL7CUKWWJTBRHO · pith_short_8: 37YL7CUK

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/37YL7CUKWWJTBRHOHY7Z3WQAQZ \
  | 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: dff0bf8a8ab59330c4ee3e3f9dda008658edb366ae95e81f397f0ae79e2a1743

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "752aa1e9686dd4324fbfa7bdb5a066262cf6c09ccf808f7b215dcb9474f92c9f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-05-10T20:03:15Z",
    "title_canon_sha256": "42b81af5e49e72dce25cc4a6505e2882a796b4f3ac2bbd16bd5a258666eeaf07"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.2423",
    "kind": "arxiv",
    "version": 1
  }
}