Pith Number

pith:4SXYX2JC

pith:2011:4SXYX2JCIIBNLVBNZA4E7PTCDD

not attested not anchored not stored refs pending

Applications of local fractional calculus to engineering in fractal time-space: Local fractional differential equations with local fractional derivative

Xiao-Jun Yang

arxiv:1106.3010 v1 · 2011-06-15 · math-ph · 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{4SXYX2JCIIBNLVBNZA4E7PTCDD}

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	2026-05-18T04:10:08.651057Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e4af8be9224202d5d42dc8384fbe6218c388027193036e595f24735c0d0460f3

Aliases

arxiv: 1106.3010 · arxiv_version: 1106.3010v1 · doi: 10.48550/arxiv.1106.3010 · pith_short_12: 4SXYX2JCIIBN · pith_short_16: 4SXYX2JCIIBNLVBN · pith_short_8: 4SXYX2JC

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/4SXYX2JCIIBNLVBNZA4E7PTCDD \
  | 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: e4af8be9224202d5d42dc8384fbe6218c388027193036e595f24735c0d0460f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc59b6fb404a06561d81382424477f5d4f13d2df2837fbe9303579fd75cb9617",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2011-06-15T15:55:50Z",
    "title_canon_sha256": "58cbef3fe7f54d0bb965330d3b23f70a8426b8ef80defd5375465abb634ee004"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.3010",
    "kind": "arxiv",
    "version": 1
  }
}