Pith Number

pith:J5TH7SUF

pith:2019:J5TH7SUF72VSBCVGVIX4N3E6LT

not attested not anchored not stored refs pending

Remarks on shrinking gradient K\"ahler-Ricci solitons with positive bisectional curvature

Guoqiang Wu, Shijin Zhang

arxiv:1906.00412 v1 · 2019-06-02 · 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{J5TH7SUF72VSBCVGVIX4N3E6LT}

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	2026-05-17T23:44:27.152416Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f667fca85feab208aa6aa2fc6ec9e5cc9cebe0d43ab331aa29729f50a4e1cc2

Aliases

arxiv: 1906.00412 · arxiv_version: 1906.00412v1 · doi: 10.48550/arxiv.1906.00412 · pith_short_12: J5TH7SUF72VS · pith_short_16: J5TH7SUF72VSBCVG · pith_short_8: J5TH7SUF

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/J5TH7SUF72VSBCVGVIX4N3E6LT \
  | 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: 4f667fca85feab208aa6aa2fc6ec9e5cc9cebe0d43ab331aa29729f50a4e1cc2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "12bf6d334eb49aad60cf603cecbf9e4f832f9f8f9cc2458df52b9a0e2cef67cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-06-02T14:17:21Z",
    "title_canon_sha256": "d7349ed4095d9489200b83b85e6bb3255c2fae2607660b9752f38851b917f5e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.00412",
    "kind": "arxiv",
    "version": 1
  }
}