Pith Number

pith:YQBFCAMR

pith:2013:YQBFCAMRAJT3GLLV4WHEYTZ6VL

not attested not anchored not stored refs pending

Bishop and Laplacian comparison theorems on Sasakian manifolds

Chengbo Li, Paul W. Y. Lee

arxiv:1310.5322 v2 · 2013-10-20 · 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{YQBFCAMRAJT3GLLV4WHEYTZ6VL}

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	2026-05-18T03:09:32.727407Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c4025101910267b32d75e58e4c4f3eaafa395cb12f7c5d704ebf901d87ae5c3a

Aliases

arxiv: 1310.5322 · arxiv_version: 1310.5322v2 · doi: 10.48550/arxiv.1310.5322 · pith_short_12: YQBFCAMRAJT3 · pith_short_16: YQBFCAMRAJT3GLLV · pith_short_8: YQBFCAMR

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/YQBFCAMRAJT3GLLV4WHEYTZ6VL \
  | 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: c4025101910267b32d75e58e4c4f3eaafa395cb12f7c5d704ebf901d87ae5c3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "014f65a0e9bf299f37253bff3d97dce27b6758a6362ba538468ec3f9c346d659",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-10-20T11:31:50Z",
    "title_canon_sha256": "e191ecbdd76f0da45ab243804cc5ed02fb041531b2f5c5a661fba4f8db510520"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.5322",
    "kind": "arxiv",
    "version": 2
  }
}