Pith Number

pith:HFBXPH6G

pith:2016:HFBXPH6GUPS2ROVNWMFW6C7LSP

not attested not anchored not stored refs pending

Cauchy and signaling problems for the time-fractional diffusion-wave equation

Francesco Mainardi, Yuri Luchko

arxiv:1609.05443 v1 · 2016-09-18 · math.AP · cond-mat.stat-mech · math-ph · math.CV · 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{HFBXPH6GUPS2ROVNWMFW6C7LSP}

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	2026-05-18T01:04:26.387591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3943779fc6a3e5a8baadb30b6f0beb93fe089ce22add1faa70ecd28502d0db72

Aliases

arxiv: 1609.05443 · arxiv_version: 1609.05443v1 · doi: 10.48550/arxiv.1609.05443 · pith_short_12: HFBXPH6GUPS2 · pith_short_16: HFBXPH6GUPS2ROVN · pith_short_8: HFBXPH6G

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/HFBXPH6GUPS2ROVNWMFW6C7LSP \
  | 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: 3943779fc6a3e5a8baadb30b6f0beb93fe089ce22add1faa70ecd28502d0db72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "126392d24b433149544a60d1de4780d2881292ee91bcc1e8afefd575a9c5ed69",
    "cross_cats_sorted": [
      "cond-mat.stat-mech",
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-09-18T08:16:28Z",
    "title_canon_sha256": "ec569059e6c217abb42f2a9013c0cde3db1fe90261144d42a15d70724f95a934"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.05443",
    "kind": "arxiv",
    "version": 1
  }
}