Pith Number

pith:WS3GQF24

pith:2022:WS3GQF24Q5NGG5XVX35ZGLOH2H

not attested not anchored not stored refs pending

Hyperspherical Trigonometry and Corresponding Elliptic Functions

Frank Nijhoff, Paul Jennings

arxiv:2211.13983 v2 · 2022-11-25 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WS3GQF24Q5NGG5XVX35ZGLOH2H}

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	2026-06-09T01:05:02.430918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4b668175c875a6376f5befb932dc7d1f46253c7a3fd96fda55faffdefcb96af

Aliases

arxiv: 2211.13983 · arxiv_version: 2211.13983v2 · doi: 10.48550/arxiv.2211.13983 · pith_short_12: WS3GQF24Q5NG · pith_short_16: WS3GQF24Q5NGG5XV · pith_short_8: WS3GQF24

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/WS3GQF24Q5NGG5XVX35ZGLOH2H \
  | 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: b4b668175c875a6376f5befb932dc7d1f46253c7a3fd96fda55faffdefcb96af

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0b492afc55cb4c832f5451e25e4045e85dd23db17d2dbe4c90f9887f4cddd2f",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2022-11-25T09:47:18Z",
    "title_canon_sha256": "45b36467bde9a5934185fedad6c1b09f23041ede0fc68b40b0e49022395e3dbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2211.13983",
    "kind": "arxiv",
    "version": 2
  }
}