Pith Number

pith:NHXG5WGX

pith:2017:NHXG5WGXA7RBS44ISW7A46W5UO

not attested not anchored not stored refs pending

Fractional diffusion equation with the distributed order Caputo derivative

Adam Kubica, Katarzyna Ryszewska

arxiv:1706.05591 v3 · 2017-06-17 · 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{NHXG5WGXA7RBS44ISW7A46W5UO}

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	2026-05-18T00:24:10.129775Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69ee6ed8d707e219738895be0e7adda38d9a684b063e87eeca2cb8999229ffd7

Aliases

arxiv: 1706.05591 · arxiv_version: 1706.05591v3 · doi: 10.48550/arxiv.1706.05591 · pith_short_12: NHXG5WGXA7RB · pith_short_16: NHXG5WGXA7RBS44I · pith_short_8: NHXG5WGX

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/NHXG5WGXA7RBS44ISW7A46W5UO \
  | 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: 69ee6ed8d707e219738895be0e7adda38d9a684b063e87eeca2cb8999229ffd7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5daea6cea1b5b7b5d725bb3e1ec2a2aa3edac7b12aba0c1b35932551d35b8a76",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-06-17T23:20:15Z",
    "title_canon_sha256": "c1c7c1ed284dcb2b5cd8e5d59dfb1f79cc66f343bb20ffe9009b798af87f808a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.05591",
    "kind": "arxiv",
    "version": 3
  }
}