Pith Number

pith:P444BF76

pith:2017:P444BF76Q75IK6SHGUCKP3RIYH

not attested not anchored not stored refs pending

Existence of solutions to a class of Kazdan-Warner equations on compact Riemannian surface

Xiaobao Zhu, Yunyan Yang

arxiv:1706.08207 v2 · 2017-06-26 · 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{P444BF76Q75IK6SHGUCKP3RIYH}

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	2026-05-18T00:32:30.777526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7f39c097fe87fa857a473504a7ee28c1fd281a92c76b23ef964a9b64afd0f68a

Aliases

arxiv: 1706.08207 · arxiv_version: 1706.08207v2 · doi: 10.48550/arxiv.1706.08207 · pith_short_12: P444BF76Q75I · pith_short_16: P444BF76Q75IK6SH · pith_short_8: P444BF76

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/P444BF76Q75IK6SHGUCKP3RIYH \
  | 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: 7f39c097fe87fa857a473504a7ee28c1fd281a92c76b23ef964a9b64afd0f68a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d713d35c613fbfc9cd675ce4bb7a15423e7e0043fe8cfcdf86528f7c045a784d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-06-26T02:20:21Z",
    "title_canon_sha256": "3485ab10317a67505ef02ee68b7fdd8837e4b7d160e5af97677a6845c5e3531f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.08207",
    "kind": "arxiv",
    "version": 2
  }
}