Pith Number

pith:GVG4SFZP

pith:2013:GVG4SFZPGOPOXI5XKCGMCXWH75

not attested not anchored not stored refs pending

1/4-Pinched Contact Sphere Theorem

Jian Ge, Yang Huang

arxiv:1304.5224 v1 · 2013-04-18 · math.DG · math.GT · 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{GVG4SFZPGOPOXI5XKCGMCXWH75}

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	2026-05-18T03:27:41.444438Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

354dc9172f339eeba3b7508cc15ec7ff487e2228235623ee2257e9c5b326f7de

Aliases

arxiv: 1304.5224 · arxiv_version: 1304.5224v1 · doi: 10.48550/arxiv.1304.5224 · pith_short_12: GVG4SFZPGOPO · pith_short_16: GVG4SFZPGOPOXI5X · pith_short_8: GVG4SFZP

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/GVG4SFZPGOPOXI5XKCGMCXWH75 \
  | 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: 354dc9172f339eeba3b7508cc15ec7ff487e2228235623ee2257e9c5b326f7de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "428f87ef1d38308722da14c0c7602c48bf471f92145ea5d344faa26efe527e3e",
    "cross_cats_sorted": [
      "math.GT",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-04-18T19:03:26Z",
    "title_canon_sha256": "b68cd17ea02a6975214c03ed3d9c76387dc37f4aac58625a949c40e6320abf00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5224",
    "kind": "arxiv",
    "version": 1
  }
}