Pith Number

pith:R7DYEPZT

pith:2017:R7DYEPZTBPMS7DWXXHHDHJRVHX

not attested not anchored not stored refs pending

The semigroup generated by the Dirichlet Laplacian of fractional order

Tsukasa Iwabuchi

arxiv:1712.05565 v1 · 2017-12-15 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R7DYEPZTBPMS7DWXXHHDHJRVHX}

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	2026-05-18T00:27:56.168682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8fc7823f330bd92f8ed7b9ce33a6353df90e957b37e688a98346663b2e7da224

Aliases

arxiv: 1712.05565 · arxiv_version: 1712.05565v1 · doi: 10.48550/arxiv.1712.05565 · pith_short_12: R7DYEPZTBPMS · pith_short_16: R7DYEPZTBPMS7DWX · pith_short_8: R7DYEPZT

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/R7DYEPZTBPMS7DWXXHHDHJRVHX \
  | 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: 8fc7823f330bd92f8ed7b9ce33a6353df90e957b37e688a98346663b2e7da224

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ded35d169e4f2f1fc4e58bde176a8fda848bc39fd4d37156de229143fb8794b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-12-15T07:24:19Z",
    "title_canon_sha256": "1407a87b53228327dc20065f2165e557b422a1f5715c4561e68ab89f2a5d2642"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.05565",
    "kind": "arxiv",
    "version": 1
  }
}