Pith Number

pith:NN7RDFVD

pith:2013:NN7RDFVDKLTHKV4ZCFM3IYA7IF

not attested not anchored not stored refs pending

The basis property of generalized Jacobian elliptic functions

Shingo Takeuchi

arxiv:1310.0597 v1 · 2013-10-02 · math.CA · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NN7RDFVDKLTHKV4ZCFM3IYA7IF}

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	2026-05-18T02:46:13.064509Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b7f1196a352e67557991159b4601f41733838d6d29dbabe2077e2725474e046

Aliases

arxiv: 1310.0597 · arxiv_version: 1310.0597v1 · doi: 10.48550/arxiv.1310.0597 · pith_short_12: NN7RDFVDKLTH · pith_short_16: NN7RDFVDKLTHKV4Z · pith_short_8: NN7RDFVD

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/NN7RDFVDKLTHKV4ZCFM3IYA7IF \
  | 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: 6b7f1196a352e67557991159b4601f41733838d6d29dbabe2077e2725474e046

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a8bba2e6c3f23da56dc7cf2d528782ac8f66ee4ea727f9719b80fd0eb1d61d1c",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2013-10-02T07:04:45Z",
    "title_canon_sha256": "cc6aa96e102aa2aec89d8394be23296d1e7133bd4fbc225ed8e1fbebdf519f8b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.0597",
    "kind": "arxiv",
    "version": 1
  }
}