Pith Number

pith:LEOKQE6R

pith:2018:LEOKQE6RQXA6RTXQM3UN7UMUTA

not attested not anchored not stored refs pending

A generalized conservation property for the heat semigroup on weighted manifolds

Jun Masamune, Marcel Schmidt

arxiv:1810.07981 v1 · 2018-10-18 · math.FA · math.AP · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LEOKQE6RQXA6RTXQM3UN7UMUTA}

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	2026-05-18T00:02:53.621717Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

591ca813d185c1e8cef066e8dfd1949814b7c5f10146b9f2f6f771b2fb841984

Aliases

arxiv: 1810.07981 · arxiv_version: 1810.07981v1 · doi: 10.48550/arxiv.1810.07981 · pith_short_12: LEOKQE6RQXA6 · pith_short_16: LEOKQE6RQXA6RTXQ · pith_short_8: LEOKQE6R

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/LEOKQE6RQXA6RTXQM3UN7UMUTA \
  | 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: 591ca813d185c1e8cef066e8dfd1949814b7c5f10146b9f2f6f771b2fb841984

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13b50f522fa8b62b94cb9b93b9d9ef2f6e32c5b42f66c419dc0d0e6a55a0b2f9",
    "cross_cats_sorted": [
      "math.AP",
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2018-10-18T10:26:30Z",
    "title_canon_sha256": "30016b17d9e1bc716290a4c9f4216ee0f872233603f689945f41999433cc356b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.07981",
    "kind": "arxiv",
    "version": 1
  }
}