Pith Number

pith:EGVGO7BP

pith:2014:EGVGO7BPGRH5D6MFOCIV6SCJNZ

not attested not anchored not stored refs pending

A generalization of Reilly's formula and its applications to a new Heintze-Karcher type inequality

Chao Xia, Guohuan Qiu

arxiv:1405.4518 v1 · 2014-05-18 · 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{EGVGO7BPGRH5D6MFOCIV6SCJNZ}

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	2026-05-18T00:43:36.319884Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

21aa677c2f344fd1f98570915f48496e7d680a25d7515bbb369e1f2e02ad6053

Aliases

arxiv: 1405.4518 · arxiv_version: 1405.4518v1 · doi: 10.48550/arxiv.1405.4518 · pith_short_12: EGVGO7BPGRH5 · pith_short_16: EGVGO7BPGRH5D6MF · pith_short_8: EGVGO7BP

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/EGVGO7BPGRH5D6MFOCIV6SCJNZ \
  | 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: 21aa677c2f344fd1f98570915f48496e7d680a25d7515bbb369e1f2e02ad6053

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4ec19c69c9ebbbc4ea9769e7a7eb51c9f3a0c21ec20c44fcbeed8d77317a35f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2014-05-18T15:29:18Z",
    "title_canon_sha256": "b3225db722308ede1b5e4a5c16bdab3c07d9c50a7c48f082f96175026bf5302f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.4518",
    "kind": "arxiv",
    "version": 1
  }
}