Pith Number

pith:EKFN3FFO

pith:2020:EKFN3FFORXQ4B4RNCRYZPIJNEW

not attested not anchored not stored refs pending

Rigidity phenomena on lower $N$-weighted Ricci curvature bounds with $\varepsilon$-range for non-symmetric Laplacian

Kazuhiro Kuwae, Yohei Sakurai

arxiv:2009.12012 v4 · 2020-09-25 · 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{EKFN3FFORXQ4B4RNCRYZPIJNEW}

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	2026-07-05T03:25:29.041227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

228add94ae8de1c0f22d147197a12d25bc72f1a3d45ad1a647c18790555c4c28

Aliases

arxiv: 2009.12012 · arxiv_version: 2009.12012v4 · doi: 10.48550/arxiv.2009.12012 · pith_short_12: EKFN3FFORXQ4 · pith_short_16: EKFN3FFORXQ4B4RN · pith_short_8: EKFN3FFO

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/EKFN3FFORXQ4B4RNCRYZPIJNEW \
  | 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: 228add94ae8de1c0f22d147197a12d25bc72f1a3d45ad1a647c18790555c4c28

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b21b4e4761af5779bf1e31ac2003b90b1f7be4e423d488636046521585b7d41",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2020-09-25T03:26:37Z",
    "title_canon_sha256": "356a470da3c5ef045d9914155f7e4531570a9094bcede823fd1d82646a663f5f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2009.12012",
    "kind": "arxiv",
    "version": 4
  }
}