Pith Number

pith:BUM6CGCB

pith:2018:BUM6CGCB7I6MU6KQBJB7PL4EVO

not attested not anchored not stored refs pending

Efficient Construction of a Substitution Box Based on a Mordell Elliptic Curve Over a Finite Field

Ikram Ullah, Naveed Ahmed Azam, Umar Hayat

arxiv:1809.11057 v2 · 2018-09-28 · cs.CR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BUM6CGCB7I6MU6KQBJB7PL4EVO}

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	2026-05-17T23:56:23.075458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0d19e11841fa3cca79500a43f7af84ab87ad906803404c4c27e4cbfc4e7c03fe

Aliases

arxiv: 1809.11057 · arxiv_version: 1809.11057v2 · doi: 10.48550/arxiv.1809.11057 · pith_short_12: BUM6CGCB7I6M · pith_short_16: BUM6CGCB7I6MU6KQ · pith_short_8: BUM6CGCB

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/BUM6CGCB7I6MU6KQBJB7PL4EVO \
  | 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: 0d19e11841fa3cca79500a43f7af84ab87ad906803404c4c27e4cbfc4e7c03fe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51ab0ca7c74895e917cf9408928f57ce46ae5dab123021d1e7592c5091247117",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CR",
    "submitted_at": "2018-09-28T14:27:26Z",
    "title_canon_sha256": "a99708091ec739199ef55f8cd60845f91fec6054b6c6e1fd2dd650efa0ad7edb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.11057",
    "kind": "arxiv",
    "version": 2
  }
}