Pith Number

pith:A6X2CPE3

pith:2010:A6X2CPE3L7HF6MEBC7B2SXQ46A

not attested not anchored not stored refs pending

Second eigenvalue of a Jacobi operator of hypersurfaces with constant scalar curvature

Haizhong Li, Xianfeng Wang

arxiv:1010.0953 v2 · 2010-10-05 · 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{A6X2CPE3L7HF6MEBC7B2SXQ46A}

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	2026-05-18T04:39:07.820980Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

07afa13c9b5fce5f308117c3a95e1cf033ba08593dcc3ae3c91ef0a1cd1e4691

Aliases

arxiv: 1010.0953 · arxiv_version: 1010.0953v2 · doi: 10.48550/arxiv.1010.0953 · pith_short_12: A6X2CPE3L7HF · pith_short_16: A6X2CPE3L7HF6MEB · pith_short_8: A6X2CPE3

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/A6X2CPE3L7HF6MEBC7B2SXQ46A \
  | 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: 07afa13c9b5fce5f308117c3a95e1cf033ba08593dcc3ae3c91ef0a1cd1e4691

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd39192a45a9bb9fee58391886a8f3a3164f19c3565115234f97de192fd9558f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2010-10-05T17:40:20Z",
    "title_canon_sha256": "64124db3b9f0f777c3d78bd7c036c7a7744df3d89ceb13a7f2327aca82e44b92"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0953",
    "kind": "arxiv",
    "version": 2
  }
}