Pith Number

pith:OEX243Q7

pith:2019:OEX243Q7UZ7LVKQE2YUSADQ5QT

not attested not anchored not stored refs pending

Positivity of the fundamental solution for fractional diffusion and wave equations

Jukka Kemppainen

arxiv:1906.04779 v1 · 2019-06-11 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OEX243Q7UZ7LVKQE2YUSADQ5QT}

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	2026-05-17T23:43:32.276383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

712fae6e1fa67ebaaa04d629200e1d84cf711cc66386be22e6583cc3328e8e5d

Aliases

arxiv: 1906.04779 · arxiv_version: 1906.04779v1 · doi: 10.48550/arxiv.1906.04779 · pith_short_12: OEX243Q7UZ7L · pith_short_16: OEX243Q7UZ7LVKQE · pith_short_8: OEX243Q7

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/OEX243Q7UZ7LVKQE2YUSADQ5QT \
  | 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: 712fae6e1fa67ebaaa04d629200e1d84cf711cc66386be22e6583cc3328e8e5d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0b123aafb9d771b59c0fbc47f501644fa48b5cbcda68d573589fb5b9c5a01c6f",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2019-06-11T19:32:39Z",
    "title_canon_sha256": "5dce5d96719c4e3693f8e31f4e14ce4085e857aed73c9da6bb802a290d07db3c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.04779",
    "kind": "arxiv",
    "version": 1
  }
}