Pith Number

pith:5QHOCEPR

pith:2018:5QHOCEPRIXWODUWB64MLCTEOER

not attested not anchored not stored refs pending

Compactness and Density Estimates for Weighted Fractional Heat Semigroups

Jian Wang

arxiv:1805.04135 v1 · 2018-05-10 · 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{5QHOCEPRIXWODUWB64MLCTEOER}

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	2026-05-18T00:16:13.554050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec0ee111f145ece1d2c1f718b14c8e244daeb11e49d252da88cc6bbf3a74e6b1

Aliases

arxiv: 1805.04135 · arxiv_version: 1805.04135v1 · doi: 10.48550/arxiv.1805.04135 · pith_short_12: 5QHOCEPRIXWO · pith_short_16: 5QHOCEPRIXWODUWB · pith_short_8: 5QHOCEPR

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/5QHOCEPRIXWODUWB64MLCTEOER \
  | 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: ec0ee111f145ece1d2c1f718b14c8e244daeb11e49d252da88cc6bbf3a74e6b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "223218526944389e2e258723f2f4925e613fcdd254068e6c2eb6191eb09da6dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2018-05-10T18:55:26Z",
    "title_canon_sha256": "2ea9afaf2f07bb9235e3ceb072487da78f9c63d544fb9f3691b7704404e3c192"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.04135",
    "kind": "arxiv",
    "version": 1
  }
}