Pith Number

pith:JWOSZ45N

pith:2024:JWOSZ45NDIQL2NVJCTGDUIQO76

not attested not anchored not stored refs pending

Cheeger type inequalities associated with isocapacitary constants on Riemannian manifolds with boundary

Bobo Hua, Yang Shen

arxiv:2412.21008 v2 · 2024-12-30 · math.SP · 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{JWOSZ45NDIQL2NVJCTGDUIQO76}

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.

Cited by

1 paper in Pith

Lower bounds for the low Steklov eigenvalues

Receipt and verification

First computed	2026-07-05T09:59:58.184054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4d9d2cf3ad1a20bd36a914cc3a220effb243e7ffe806faf792792b2d5395f8d2

Aliases

arxiv: 2412.21008 · arxiv_version: 2412.21008v2 · doi: 10.48550/arxiv.2412.21008 · pith_short_12: JWOSZ45NDIQL · pith_short_16: JWOSZ45NDIQL2NVJ · pith_short_8: JWOSZ45N

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/JWOSZ45NDIQL2NVJCTGDUIQO76 \
  | 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: 4d9d2cf3ad1a20bd36a914cc3a220effb243e7ffe806faf792792b2d5395f8d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b4d2924a08c2d1e03a7439667260a4ae69df6ab81d3bc305ae3ff4317f6f91a",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2024-12-30T15:15:50Z",
    "title_canon_sha256": "3017bd6ebe966dc3d84d0a9c0377c0fb7b09d56c91e5926be37a277c76fa93b6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.21008",
    "kind": "arxiv",
    "version": 2
  }
}