Pith Number

pith:WA4D53W3

pith:2025:WA4D53W3MLNMARWJAK6KTRUJY3

not attested not anchored not stored refs pending

On isolated singularities of the conformal Gaussian curvature equation and $Q$-curvature equation

Hui Yang, Ronghao Yang

arxiv:2502.08318 v1 · 2025-02-12 · 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{WA4D53W3MLNMARWJAK6KTRUJY3}

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	2026-07-05T10:13:20.934359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0383eeedb62dac046c902bca9c689c6d24d4cb1b38abf6be3252823f482ded2

Aliases

arxiv: 2502.08318 · arxiv_version: 2502.08318v1 · doi: 10.48550/arxiv.2502.08318 · pith_short_12: WA4D53W3MLNM · pith_short_16: WA4D53W3MLNMARWJ · pith_short_8: WA4D53W3

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/WA4D53W3MLNMARWJAK6KTRUJY3 \
  | 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: b0383eeedb62dac046c902bca9c689c6d24d4cb1b38abf6be3252823f482ded2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "834fe4d68f174cad7c7c169ea562525d9b0d92412c2f0546bfbb5605192fbdae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-02-12T11:33:12Z",
    "title_canon_sha256": "31993af0e1061f51d4ba4fcde78ca76b3696e92b2e775c71628541b33b3402b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2502.08318",
    "kind": "arxiv",
    "version": 1
  }
}