Pith Number

pith:3IBUXE33

pith:2019:3IBUXE337QYHJDO6K4EL76KJJ3

not attested not anchored not stored refs pending

Myers-type compactness theorem with the Bakry-Emery Ricci tensor

Sanghun Lee, Seungsu Hwang

arxiv:1904.08698 v3 · 2019-04-18 · 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{3IBUXE337QYHJDO6K4EL76KJJ3}

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	2026-05-17T23:41:08.962684Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da034b937bfc30748dde5708bff9494ee337207a92d02bab91ba9a714f37086b

Aliases

arxiv: 1904.08698 · arxiv_version: 1904.08698v3 · doi: 10.48550/arxiv.1904.08698 · pith_short_12: 3IBUXE337QYH · pith_short_16: 3IBUXE337QYHJDO6 · pith_short_8: 3IBUXE33

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/3IBUXE337QYHJDO6K4EL76KJJ3 \
  | 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: da034b937bfc30748dde5708bff9494ee337207a92d02bab91ba9a714f37086b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "72c8f3e960c49eb30f3388ee1e7c94e73bd02f21e32a31ff8eccc56a3009f837",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2019-04-18T11:24:38Z",
    "title_canon_sha256": "da3d317b71a6604d90e1f2cbfd3dd0ef23c06d301d7d2806662825b7bf132c63"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.08698",
    "kind": "arxiv",
    "version": 3
  }
}