Pith Number

pith:RCSA4NZF

pith:2016:RCSA4NZFTBXCNIDG3ZY5T3BFVK

not attested not anchored not stored refs pending

Weighted fractional chain rule and nonlinear wave equations with minimal regularity

Chengbo Wang, Jin-Cheng Jiang, Kunio Hidano, Sanghyuk Lee

arxiv:1605.06748 v3 · 2016-05-22 · math.AP · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RCSA4NZFTBXCNIDG3ZY5T3BFVK}

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	2026-05-18T00:23:57.184070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

88a40e3725986e26a066de71d9ec25aaa2a375ae0408f0717a2d5081094ef592

Aliases

arxiv: 1605.06748 · arxiv_version: 1605.06748v3 · doi: 10.48550/arxiv.1605.06748 · pith_short_12: RCSA4NZFTBXC · pith_short_16: RCSA4NZFTBXCNIDG · pith_short_8: RCSA4NZF

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/RCSA4NZFTBXCNIDG3ZY5T3BFVK \
  | 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: 88a40e3725986e26a066de71d9ec25aaa2a375ae0408f0717a2d5081094ef592

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f0c233e25423ba2ceccfa6e024b8a944a75fd1b24c3aa290a5de1407c2f3bbe9",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-05-22T07:02:40Z",
    "title_canon_sha256": "85fca0c1ae3eb32af85e5bb30cf252d33667f2d4845dadd04b72cbfc01319f6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1605.06748",
    "kind": "arxiv",
    "version": 3
  }
}