Pith Number

pith:Z67A2R5V

pith:2018:Z67A2R5V7OAN3MPOXE75PHL6KC

not attested not anchored not stored refs pending

On Gaussian curvature equations in $\mathbb{R}^2$ with prescribed non-positive curvature

Dong Ye, Feng Zhou, Huyuan Chen

arxiv:1810.07369 v2 · 2018-10-17 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z67A2R5V7OAN3MPOXE75PHL6KC}

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	2026-05-17T23:52:15.399185Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cfbe0d47b5fb80ddb1eeb93fd79d7e50912418f5bb7c573dbe9733b8aa9dc351

Aliases

arxiv: 1810.07369 · arxiv_version: 1810.07369v2 · doi: 10.48550/arxiv.1810.07369 · pith_short_12: Z67A2R5V7OAN · pith_short_16: Z67A2R5V7OAN3MPO · pith_short_8: Z67A2R5V

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/Z67A2R5V7OAN3MPOXE75PHL6KC \
  | 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: cfbe0d47b5fb80ddb1eeb93fd79d7e50912418f5bb7c573dbe9733b8aa9dc351

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1642d2250807d939ba0f0c9698a9bc5aeac5ba4d099acc56bc1032c22567661f",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-10-17T03:16:33Z",
    "title_canon_sha256": "51cae5e2d678ecd50b09aa4af42556638f6d6f869066168446ae02689eb65a7b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.07369",
    "kind": "arxiv",
    "version": 2
  }
}