Pith Number

pith:CELNPCUR

pith:2017:CELNPCUR7EFDQHABRX5SC4VAN4

not attested not anchored not stored refs pending

Second-order numerical methods for multi-term fractional differential equations: Smooth and non-smooth solutions

Fanhai Zeng, George Em Karniadakis, Zhongqiang Zhang

arxiv:1701.00996 v1 · 2017-01-04 · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CELNPCUR7EFDQHABRX5SC4VAN4}

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	2026-05-18T00:23:40.295174Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1116d78a91f90a381c018dfb2172a06f1286a2fe70df19b94a33a87eb1fcb443

Aliases

arxiv: 1701.00996 · arxiv_version: 1701.00996v1 · doi: 10.48550/arxiv.1701.00996 · pith_short_12: CELNPCUR7EFD · pith_short_16: CELNPCUR7EFDQHAB · pith_short_8: CELNPCUR

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/CELNPCUR7EFDQHABRX5SC4VAN4 \
  | 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: 1116d78a91f90a381c018dfb2172a06f1286a2fe70df19b94a33a87eb1fcb443

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb351304f478fac618d92942dea4237bdcf4a49d2243bc864efe6baa938e0c0e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2017-01-04T13:22:53Z",
    "title_canon_sha256": "12fdc0c97ac3e15c25824816c4c3eb09d46d307731e1e49187143b0b9dafc544"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1701.00996",
    "kind": "arxiv",
    "version": 1
  }
}