Pith Number

pith:WFS4U6ER

pith:2012:WFS4U6ER2YFO2M6FKDUS3BXUVD

not attested not anchored not stored refs pending

The Weyl problem with nonnegative Gauss curvature in hyperbolic space

Jui-En Chang, Ling Xiao

arxiv:1209.4665 v2 · 2012-09-20 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WFS4U6ER2YFO2M6FKDUS3BXUVD}

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	2026-05-18T03:44:59.774331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b165ca7891d60aed33c550e92d86f4a8e952998922a862067776d0604c5dee36

Aliases

arxiv: 1209.4665 · arxiv_version: 1209.4665v2 · doi: 10.48550/arxiv.1209.4665 · pith_short_12: WFS4U6ER2YFO · pith_short_16: WFS4U6ER2YFO2M6F · pith_short_8: WFS4U6ER

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/WFS4U6ER2YFO2M6FKDUS3BXUVD \
  | 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: b165ca7891d60aed33c550e92d86f4a8e952998922a862067776d0604c5dee36

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4dc548e9a408615b0eb8a322ccb8224a522e47d17fca57d2d0e8d0f51eaf4121",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2012-09-20T20:52:10Z",
    "title_canon_sha256": "60c23ea76aa2e19abacec9084267bf340fa956a7f627cbb4fe1a3d30dd0e75f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.4665",
    "kind": "arxiv",
    "version": 2
  }
}