Pith Number

pith:RODP3D6Y

pith:2025:RODP3D6Y2XIJ2QJIFU3YR5HOAM

not attested not anchored not stored refs pending

On rigidity of hypersurfaces with constant shifted curvature functions in warped product manifolds

Jie Wu, Weimin Sheng, Yinhang Wang

arxiv:2507.17344 v1 · 2025-07-23 · 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{RODP3D6Y2XIJ2QJIFU3YR5HOAM}

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	2026-07-05T11:42:06.042596Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b86fd8fd8d5d09d41282d3788f4ee033e4d91ac2b5219d5e9f2092678187fa7

Aliases

arxiv: 2507.17344 · arxiv_version: 2507.17344v1 · doi: 10.48550/arxiv.2507.17344 · pith_short_12: RODP3D6Y2XIJ · pith_short_16: RODP3D6Y2XIJ2QJI · pith_short_8: RODP3D6Y

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/RODP3D6Y2XIJ2QJIFU3YR5HOAM \
  | 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: 8b86fd8fd8d5d09d41282d3788f4ee033e4d91ac2b5219d5e9f2092678187fa7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "18ab262e7293fccaedd405cb525f74eb196031ec89f89ac3087a81697105046b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2025-07-23T09:16:29Z",
    "title_canon_sha256": "4a4bc401d13c498eb1880616701b29e83075cd1f277873b11d8d170eb434bc36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.17344",
    "kind": "arxiv",
    "version": 1
  }
}