Pith Number

pith:3ONFBPIF

pith:2017:3ONFBPIF7FBQQIVJ3L3WOEE7ZC

not attested not anchored not stored refs pending

The $f$-Stability Index of the Constant Weighted Mean Curvature Hypersurfaces in Gradient Ricci Solitons

Adina Rocha, Hil\'ario Alencar

arxiv:1701.00373 v1 · 2017-01-02 · 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{3ONFBPIF7FBQQIVJ3L3WOEE7ZC}

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	2026-05-18T00:53:35.753951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db9a50bd05f9430822a9daf767109fc8a829317ceb01f47d175e21f42068aa9d

Aliases

arxiv: 1701.00373 · arxiv_version: 1701.00373v1 · doi: 10.48550/arxiv.1701.00373 · pith_short_12: 3ONFBPIF7FBQ · pith_short_16: 3ONFBPIF7FBQQIVJ · pith_short_8: 3ONFBPIF

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/3ONFBPIF7FBQQIVJ3L3WOEE7ZC \
  | 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: db9a50bd05f9430822a9daf767109fc8a829317ceb01f47d175e21f42068aa9d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29f7cac183719b0f797767877c13ef6f8f653b5c4ad0b16043126131782b8448",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-01-02T12:49:02Z",
    "title_canon_sha256": "a27364da933e0cc467e50c100775784fdb3a89f74cd640080b0f1fe9758723b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.00373",
    "kind": "arxiv",
    "version": 1
  }
}