Pith Number

pith:SMR4YO2U

pith:2025:SMR4YO2UOYPRBWIPXE2C3E6RYF

not attested not anchored not stored refs pending

Four-dimensional shrinkers with nonnegative Ricci curvature

Guoqiang Wu, Jia-Yong Wu

arxiv:2505.02315 v1 · 2025-05-05 · math.DG · math.AP

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SMR4YO2UOYPRBWIPXE2C3E6RYF}

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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.

Cited by

1 paper in Pith

Rigidity of Five-Dimensional shrinking gradient Ricci solitons

Receipt and verification

First computed	2026-07-05T10:58:35.299743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9323cc3b54761f10d90fb9342d93d1c16f386a0562ab978d32cbd466f912a572

Aliases

arxiv: 2505.02315 · arxiv_version: 2505.02315v1 · doi: 10.48550/arxiv.2505.02315 · pith_short_12: SMR4YO2UOYPR · pith_short_16: SMR4YO2UOYPRBWIP · pith_short_8: SMR4YO2U

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/SMR4YO2UOYPRBWIPXE2C3E6RYF \
  | 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: 9323cc3b54761f10d90fb9342d93d1c16f386a0562ab978d32cbd466f912a572

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e46549263ecd815e46975f6db14a4ce9f7954d6d4fe4bae2b638b1c813b77036",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-05-05T02:20:12Z",
    "title_canon_sha256": "1aaba6cda173ee0430244f55e76f263e3479a4731ed63378096c8b02a778be16"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.02315",
    "kind": "arxiv",
    "version": 1
  }
}