Pith Number

pith:ZO66VWFR

pith:2016:ZO66VWFRP63MKJXWPPVRWBBXZL

not attested not anchored not stored refs pending

More generalized groundwater model with space-time Caputo Fabrizio fractional differentiation

A. Atangana, J-D Djida

arxiv:1610.07345 v1 · 2016-10-24 · 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{ZO66VWFRP63MKJXWPPVRWBBXZL}

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	2026-05-18T01:01:30.345236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbbdead8b17fb6c526f67beb1b0437cafd5de0bf99a35238258e225ddccc8c04

Aliases

arxiv: 1610.07345 · arxiv_version: 1610.07345v1 · doi: 10.48550/arxiv.1610.07345 · pith_short_12: ZO66VWFRP63M · pith_short_16: ZO66VWFRP63MKJXW · pith_short_8: ZO66VWFR

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/ZO66VWFRP63MKJXWPPVRWBBXZL \
  | 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: cbbdead8b17fb6c526f67beb1b0437cafd5de0bf99a35238258e225ddccc8c04

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "444f740a8d9524aa55a0a52abd10cc92cbe62d3c376486a897ff5729e9e654f7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2016-10-24T09:58:02Z",
    "title_canon_sha256": "851f4a3368dc4bbf4053eeffb86b01a84d0a067104b85934c48f4eae9fd7256c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07345",
    "kind": "arxiv",
    "version": 1
  }
}