Pith Number

pith:CGZN3JYL

pith:2015:CGZN3JYLCHI6XSLSSLAWMYYRZJ

not attested not anchored not stored refs pending

An extension of Van Vleck's functional equation for the sine

Bouikhalene Belaid, Elqorachi Elhoucien

arxiv:1512.06753 v1 · 2015-12-09 · math.CA · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CGZN3JYLCHI6XSLSSLAWMYYRZJ}

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	2026-05-18T01:23:59.760899Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11b2dda70b11d1ebc97292c1666311ca6b51b8054e5d8ce0e7fd82141bb2ad46

Aliases

arxiv: 1512.06753 · arxiv_version: 1512.06753v1 · doi: 10.48550/arxiv.1512.06753 · pith_short_12: CGZN3JYLCHI6 · pith_short_16: CGZN3JYLCHI6XSLS · pith_short_8: CGZN3JYL

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/CGZN3JYLCHI6XSLSSLAWMYYRZJ \
  | 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: 11b2dda70b11d1ebc97292c1666311ca6b51b8054e5d8ce0e7fd82141bb2ad46

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cbe99aafd4a5136de4110251f268da4759c321e44acd38d020ebb2730c2eca3d",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-12-09T09:29:53Z",
    "title_canon_sha256": "e9691d5a90e823e11c0ee6548763ac6a3de48ef6a16fbc9735110e0fc6ad5344"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06753",
    "kind": "arxiv",
    "version": 1
  }
}