Pith Number

pith:2PHOAKS3

pith:2024:2PHOAKS3XMOFS7NWAG2NAVMP57

not attested not anchored not stored refs pending

A look at generalized trigonometric functions as functions of their two parameters and further new properties

Dmitrii Karp, Elena Prilepkina

arxiv:2411.13442 v1 · 2024-11-20 · 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{2PHOAKS3XMOFS7NWAG2NAVMP57}

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	2026-07-05T09:38:16.956271Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d3cee02a5bbb1c597db601b4d0558fefd534a7888d7e086b00d0886c7cfc4fb3

Aliases

arxiv: 2411.13442 · arxiv_version: 2411.13442v1 · doi: 10.48550/arxiv.2411.13442 · pith_short_12: 2PHOAKS3XMOF · pith_short_16: 2PHOAKS3XMOFS7NW · pith_short_8: 2PHOAKS3

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/2PHOAKS3XMOFS7NWAG2NAVMP57 \
  | 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: d3cee02a5bbb1c597db601b4d0558fefd534a7888d7e086b00d0886c7cfc4fb3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a05d643f258a60123c9a9f3ea6a39eb3dea76f74b6965b8dde1ff49b5b8307d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2024-11-20T16:30:46Z",
    "title_canon_sha256": "907b06cf577b7f1e6e7bf346a1e30c811c4d2b6b591174e9d6533aefa4914402"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.13442",
    "kind": "arxiv",
    "version": 1
  }
}