Pith Number

pith:CN3KQKUG

pith:2019:CN3KQKUGU7I3YVKAQC7243IRWU

not attested not anchored not stored refs pending

Koebe conjecture and the Weyl problem for convex surfaces in hyperbolic 3-space

Feng Luo, Tianqi Wu

arxiv:1910.08001 v5 · 2019-10-17 · math.GT · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CN3KQKUGU7I3YVKAQC7243IRWU}

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	2026-07-05T09:15:25.049525Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1376a82a86a7d1bc554080bfae6d11b53211c991a9d09e4d54d79ebf487aee1d

Aliases

arxiv: 1910.08001 · arxiv_version: 1910.08001v5 · doi: 10.48550/arxiv.1910.08001 · pith_short_12: CN3KQKUGU7I3 · pith_short_16: CN3KQKUGU7I3YVKA · pith_short_8: CN3KQKUG

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/CN3KQKUGU7I3YVKAQC7243IRWU \
  | 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: 1376a82a86a7d1bc554080bfae6d11b53211c991a9d09e4d54d79ebf487aee1d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2a223f96c7d2e5858f2e4c5f741212923a9cbc2df0d4a221d2380cb4fa5d29d",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-10-17T16:19:44Z",
    "title_canon_sha256": "2178b478137bca58606b219588149e1d7af35317a6eafd44d2e5277c0a689ee3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.08001",
    "kind": "arxiv",
    "version": 5
  }
}