Pith Number

pith:JX6Z2M5H

pith:2016:JX6Z2M5HIDKEA2XFIIU2H7KLZ4

not attested not anchored not stored refs pending

Implicit-Explicit difference schemes for nonlinear fractional differential equations with non-smooth solutions

Fanhai Zeng, George Em Karniadakis, Wanrong Cao, Zhongqiang Zhang

arxiv:1608.00831 v1 · 2016-08-02 · 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{JX6Z2M5HIDKEA2XFIIU2H7KLZ4}

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	2026-05-18T01:10:00.854360Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4dfd9d33a740d4406ae54229a3fd4bcf021f83a6a03bcf48810584ec9a6521be

Aliases

arxiv: 1608.00831 · arxiv_version: 1608.00831v1 · doi: 10.48550/arxiv.1608.00831 · pith_short_12: JX6Z2M5HIDKE · pith_short_16: JX6Z2M5HIDKEA2XF · pith_short_8: JX6Z2M5H

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/JX6Z2M5HIDKEA2XFIIU2H7KLZ4 \
  | 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: 4dfd9d33a740d4406ae54229a3fd4bcf021f83a6a03bcf48810584ec9a6521be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe430c525209ee2c993c808d9f762d9b79757a2e2b6fa0668472dbbd7fd5c793",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-08-02T14:20:37Z",
    "title_canon_sha256": "46c225d5dc8376b2051fc2ee495f6eeb0b214427de84b7edc48aa8c009004914"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.00831",
    "kind": "arxiv",
    "version": 1
  }
}