Pith Number

pith:CU5QRLAS

pith:2019:CU5QRLAS4FLPDWUGNX5WTE6R4G

not attested not anchored not stored refs pending

Extensions of the Cosine-Sine functional equation

Elhoucien Elqorachi, Omar Ajebbar

arxiv:1907.10056 v1 · 2019-07-23 · 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{CU5QRLAS4FLPDWUGNX5WTE6R4G}

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	2026-05-17T23:39:39.117161Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

153b08ac12e156f1da866dfb6993d1e1adef72f02e85cbc348f94b75f991d443

Aliases

arxiv: 1907.10056 · arxiv_version: 1907.10056v1 · doi: 10.48550/arxiv.1907.10056 · pith_short_12: CU5QRLAS4FLP · pith_short_16: CU5QRLAS4FLPDWUG · pith_short_8: CU5QRLAS

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/CU5QRLAS4FLPDWUGNX5WTE6R4G \
  | 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: 153b08ac12e156f1da866dfb6993d1e1adef72f02e85cbc348f94b75f991d443

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "753a44b34077bbda0f24a80e5c5b1bedec8d4d34a259403261b35caacf2f9dc2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2019-07-23T12:39:14Z",
    "title_canon_sha256": "6bc3fd811d03294f5368e41b989a05b6c1c8ce8ac52b316675eadc6890163cc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.10056",
    "kind": "arxiv",
    "version": 1
  }
}