Pith Number

pith:O5XO4EMI

pith:2018:O5XO4EMID4IXJ6X3RTVWVW7KPG

not attested not anchored not stored refs pending

Manifolds with Ricci curvature in the Kato class: heat kernel bounds and applications

Christian Rose, Peter Stollmann

arxiv:1804.04094 v1 · 2018-04-11 · math.DG · math-ph · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{O5XO4EMID4IXJ6X3RTVWVW7KPG}

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	2026-05-18T00:18:42.101793Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

776eee11881f1174fafb8ceb6adbea79a83f28f7989135006b7c6f8aca47358c

Aliases

arxiv: 1804.04094 · arxiv_version: 1804.04094v1 · doi: 10.48550/arxiv.1804.04094 · pith_short_12: O5XO4EMID4IX · pith_short_16: O5XO4EMID4IXJ6X3 · pith_short_8: O5XO4EMI

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/O5XO4EMID4IXJ6X3RTVWVW7KPG \
  | 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: 776eee11881f1174fafb8ceb6adbea79a83f28f7989135006b7c6f8aca47358c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9b2dc7626d04dafec812a359b7b5cd77ac6aee6806dd9261f7127ecf865afe6e",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2018-04-11T17:00:02Z",
    "title_canon_sha256": "e003626d2f36953b780a64d4fb5f65d482136ed17d5d128a9c04aba84bdc0318"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.04094",
    "kind": "arxiv",
    "version": 1
  }
}