Pith Number

pith:NUK2PQLL

pith:2019:NUK2PQLLXH6XBNLEG333Y6H5XH

not attested not anchored not stored refs pending

Approximation of Hamilton-Jacobi equations with Caputo time-fractional derivative

Fabio Camilli, Serikbolsyn Duisembay

arxiv:1906.06868 v2 · 2019-06-17 · math.NA · cs.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{NUK2PQLLXH6XBNLEG333Y6H5XH}

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	2026-07-05T00:27:17.327034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d15a7c16bb9fd70b56436f7bc78fdb9e08158530b3a5629c5444d44d270ca02

Aliases

arxiv: 1906.06868 · arxiv_version: 1906.06868v2 · doi: 10.48550/arxiv.1906.06868 · pith_short_12: NUK2PQLLXH6X · pith_short_16: NUK2PQLLXH6XBNLE · pith_short_8: NUK2PQLL

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/NUK2PQLLXH6XBNLEG333Y6H5XH \
  | 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: 6d15a7c16bb9fd70b56436f7bc78fdb9e08158530b3a5629c5444d44d270ca02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2ba93d491cae013fa37e1b4399b7b2905947ae607232e9257fbf94f21b9ca292",
    "cross_cats_sorted": [
      "cs.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2019-06-17T07:03:01Z",
    "title_canon_sha256": "d3b4480a67a8faa25e239307f4a2fecc2cc2c5cfdf3cc729044435e5a3ce0d04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.06868",
    "kind": "arxiv",
    "version": 2
  }
}