Pith Number

pith:LLLHSWD7

pith:2015:LLLHSWD73O2PJGKAQ6PANEVYLJ

not attested not anchored not stored refs pending

An Eigenvalue Pinching Theorem for Compact Hypersurfaces in A Sphere

Hongwei Xu, Yingxiang Hu

arxiv:1508.06975 v1 · 2015-08-27 · 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{LLLHSWD73O2PJGKAQ6PANEVYLJ}

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	2026-05-18T01:34:40.412813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ad679587fdbb4f49940879e0692b85a6ff75e5413f27e6ec7a1e912bd665f1b

Aliases

arxiv: 1508.06975 · arxiv_version: 1508.06975v1 · doi: 10.48550/arxiv.1508.06975 · pith_short_12: LLLHSWD73O2P · pith_short_16: LLLHSWD73O2PJGKA · pith_short_8: LLLHSWD7

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/LLLHSWD73O2PJGKAQ6PANEVYLJ \
  | 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: 5ad679587fdbb4f49940879e0692b85a6ff75e5413f27e6ec7a1e912bd665f1b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6430976c3720e06bc5e5de7f7b4c6a2b6c735815a3c8dce1418f9f8166ce725d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-08-27T19:11:22Z",
    "title_canon_sha256": "814efb644200c3210963bccb3973b480da8eae5e15d1d7391fd95643ae3a4891"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06975",
    "kind": "arxiv",
    "version": 1
  }
}