Pith Number

pith:FX2BROK7

pith:2013:FX2BROK7XG2ZDOXASKAJXZEY73

not attested not anchored not stored refs pending

Some Isoperimetric Inequalities and Eigenvalue Estimates in Weighted Manifolds

Juncheol Pyo, Marcio Batista, Marcos P. Cavalcante

arxiv:1306.4874 v3 · 2013-06-20 · 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{FX2BROK7XG2ZDOXASKAJXZEY73}

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	2026-05-18T03:00:00.850142Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2df418b95fb9b591bae092809be498fed79ceb8396a83aa21cd3ca8c73a16046

Aliases

arxiv: 1306.4874 · arxiv_version: 1306.4874v3 · doi: 10.48550/arxiv.1306.4874 · pith_short_12: FX2BROK7XG2Z · pith_short_16: FX2BROK7XG2ZDOXA · pith_short_8: FX2BROK7

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/FX2BROK7XG2ZDOXASKAJXZEY73 \
  | 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: 2df418b95fb9b591bae092809be498fed79ceb8396a83aa21cd3ca8c73a16046

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "579765937c9de6a73f809c2f7d7e3f80c20f34bfc0d8af375c3e785ad8a159e6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-06-20T13:37:28Z",
    "title_canon_sha256": "9243733059e12c52576bed5a07e5233efd751c05029b4e9418772b4ec28a0cc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4874",
    "kind": "arxiv",
    "version": 3
  }
}