Pith Number

pith:WDZGM3QB

pith:2023:WDZGM3QBTC3RUH4DMVEVP73PIL

not attested not anchored not stored refs pending

Kato meets Bakry-\'Emery

David Tewodrose, Gilles Carron, Ilaria Mondello

arxiv:2305.07428 v3 · 2023-05-12 · 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{WDZGM3QBTC3RUH4DMVEVP73PIL}

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.

Cited by

1 paper in Pith

Criticality, splitting theorems under spectral Ricci bounds and the topology of stable minimal hypersurfaces

Receipt and verification

First computed	2026-07-05T11:01:21.552815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b0f2666e0198b71a1f83654957ff6f42ec65c1f63d6a065d5ce4e214abaa3422

Aliases

arxiv: 2305.07428 · arxiv_version: 2305.07428v3 · doi: 10.48550/arxiv.2305.07428 · pith_short_12: WDZGM3QBTC3R · pith_short_16: WDZGM3QBTC3RUH4D · pith_short_8: WDZGM3QB

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/WDZGM3QBTC3RUH4DMVEVP73PIL \
  | 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: b0f2666e0198b71a1f83654957ff6f42ec65c1f63d6a065d5ce4e214abaa3422

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0380a6f7f281cd32eb5b7fd4c40ab6ef1e36489a1640790e6600c407b3725cdf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2023-05-12T12:50:41Z",
    "title_canon_sha256": "ff6f1787588047289e3df0ac842d3e98e6ceb53698c29bb2ca1a30f4c81261c7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2305.07428",
    "kind": "arxiv",
    "version": 3
  }
}