Pith Number

pith:4VZUCQIZ

pith:2019:4VZUCQIZ5IPJGSEF4BPY4JIM5X

not attested not anchored not stored refs pending

Blow-up phenomena for the constant scalar curvature and constant boundary mean curvature equation

Nan Wu, Xuezhang Chen

arxiv:1908.04815 v1 · 2019-08-13 · math.DG · 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{4VZUCQIZ5IPJGSEF4BPY4JIM5X}

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	2026-07-04T23:55:57.165267Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e573414119ea1e934885e05f8e250cedc0ed647c7abd1825737d0b048db81302

Aliases

arxiv: 1908.04815 · arxiv_version: 1908.04815v1 · doi: 10.48550/arxiv.1908.04815 · pith_short_12: 4VZUCQIZ5IPJ · pith_short_16: 4VZUCQIZ5IPJGSEF · pith_short_8: 4VZUCQIZ

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/4VZUCQIZ5IPJGSEF4BPY4JIM5X \
  | 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: e573414119ea1e934885e05f8e250cedc0ed647c7abd1825737d0b048db81302

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f60585267d4a54100c61e8cc8405a9686c67ef65cdcd5e1071a563152ba9f60c",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-08-13T18:40:48Z",
    "title_canon_sha256": "d05f04f7acc14e5aeb6be6826c970b4fb4f8959836728bfc6ad7b49fedb85231"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.04815",
    "kind": "arxiv",
    "version": 1
  }
}