Pith Number

pith:JCSFA2ZW

pith:2016:JCSFA2ZW2N4F7U3G3QXZKI4N7R

not attested not anchored not stored refs pending

The Invariance and Conservation Laws of fourth-order Difference Equations

Abdul Kara, Mensah Folly-Gbetoula

arxiv:1606.02498 v1 · 2016-06-08 · 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{JCSFA2ZW2N4F7U3G3QXZKI4N7R}

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	2026-05-18T01:12:41.223621Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

48a4506b36d3785fd366dc2f95238dfc59122db409b001a3ceeb7fc225dc9f7e

Aliases

arxiv: 1606.02498 · arxiv_version: 1606.02498v1 · doi: 10.48550/arxiv.1606.02498 · pith_short_12: JCSFA2ZW2N4F · pith_short_16: JCSFA2ZW2N4F7U3G · pith_short_8: JCSFA2ZW

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/JCSFA2ZW2N4F7U3G3QXZKI4N7R \
  | 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: 48a4506b36d3785fd366dc2f95238dfc59122db409b001a3ceeb7fc225dc9f7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0acf009db0a7a0d6347ff1b208ca6791fc6ed036e624daac233b7951101c38cd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2016-06-08T10:36:49Z",
    "title_canon_sha256": "329a54b0ad9f7317bb0e5ec3bab6487c280b3b37bb6231b7eaaa84c15b8e538d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.02498",
    "kind": "arxiv",
    "version": 1
  }
}