Pith Number

pith:P7AK5WBV

pith:2012:P7AK5WBV2IUKY3IZBAZ44MYXJ4

not attested not anchored not stored refs pending

The contact structure on the link of a cusp singularity

Naohiko Kasuya

arxiv:1202.2198 v2 · 2012-02-10 · 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{P7AK5WBV2IUKY3IZBAZ44MYXJ4}

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	2026-05-18T04:02:03.563912Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fc0aed835d228ac6d190833ce33174f17f5b3e242e523befd41d8cdd8eed277

Aliases

arxiv: 1202.2198 · arxiv_version: 1202.2198v2 · doi: 10.48550/arxiv.1202.2198 · pith_short_12: P7AK5WBV2IUK · pith_short_16: P7AK5WBV2IUKY3IZ · pith_short_8: P7AK5WBV

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/P7AK5WBV2IUKY3IZBAZ44MYXJ4 \
  | 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: 7fc0aed835d228ac6d190833ce33174f17f5b3e242e523befd41d8cdd8eed277

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d965670b82413c2e5547b638d2bddb230c40e16be9871e98d795a04fb33ed3a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-02-10T07:30:50Z",
    "title_canon_sha256": "e9240d4a5fa6ad72a1655ef7257eea21485c7a6b6506d19068ab6ce49298aca1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.2198",
    "kind": "arxiv",
    "version": 2
  }
}