Pith Number

pith:ZEQKL3KJ

pith:2015:ZEQKL3KJ7KMGDVSJCIPP56CDZB

not attested not anchored not stored refs pending

Direct Method of Moving Spheres on Fractional Order Equations

Ruobing Zhang, Wenxiong Chen, Yan Li

arxiv:1509.03785 v2 · 2015-09-12 · 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{ZEQKL3KJ7KMGDVSJCIPP56CDZB}

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	2026-05-18T01:17:00.360654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c920a5ed49fa9861d649121efef843c86af208ae0e230ef9d0642d4b82880d61

Aliases

arxiv: 1509.03785 · arxiv_version: 1509.03785v2 · doi: 10.48550/arxiv.1509.03785 · pith_short_12: ZEQKL3KJ7KMG · pith_short_16: ZEQKL3KJ7KMGDVSJ · pith_short_8: ZEQKL3KJ

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/ZEQKL3KJ7KMGDVSJCIPP56CDZB \
  | 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: c920a5ed49fa9861d649121efef843c86af208ae0e230ef9d0642d4b82880d61

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e6af24ff5fa1570faba8c22f662eb5668b9102b33c215c2e21c86ed3be4ea7ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-09-12T22:52:35Z",
    "title_canon_sha256": "2722aa642a060c2364f231af21620fafa2aff98d67a9f1ca08bd2ec40982e8e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03785",
    "kind": "arxiv",
    "version": 2
  }
}