Pith Number

pith:SPXKWPLQ

pith:2016:SPXKWPLQ3QIZRUOUEVZE4SOWK3

not attested not anchored not stored refs pending

$L^2$ curvature pinching theorems and vanishing theorems on complete Riemannian manifolds

Hezi Lin, Shihshu Walter Wei, Yuxin Dong

arxiv:1604.04862 v1 · 2016-04-17 · 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{SPXKWPLQ3QIZRUOUEVZE4SOWK3}

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	2026-05-18T01:16:56.548391Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93eeab3d70dc1198d1d425724e49d656cca8f99078c8413cf1cf5a94057a084e

Aliases

arxiv: 1604.04862 · arxiv_version: 1604.04862v1 · doi: 10.48550/arxiv.1604.04862 · pith_short_12: SPXKWPLQ3QIZ · pith_short_16: SPXKWPLQ3QIZRUOU · pith_short_8: SPXKWPLQ

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/SPXKWPLQ3QIZRUOUEVZE4SOWK3 \
  | 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: 93eeab3d70dc1198d1d425724e49d656cca8f99078c8413cf1cf5a94057a084e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "256d937167f02f09015f2101a9fda5c692cdcaddb803752836fa8ae3804cf569",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-04-17T11:24:45Z",
    "title_canon_sha256": "c3e07f3b39cc788eeaabd9b6692431be55b0daace5873331fcf2eaf65616f8d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04862",
    "kind": "arxiv",
    "version": 1
  }
}