Pith Number

pith:3DN6XL5V

pith:2015:3DN6XL5VOPV375NKRG3UABRD4V

not attested not anchored not stored refs pending

On extremal properties of Jacobian elliptic functions with complex modulus

Franti\v{s}ek \v{S}tampach, Petr Siegl

arxiv:1512.06089 v1 · 2015-12-18 · 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{3DN6XL5VOPV375NKRG3UABRD4V}

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	2026-05-18T01:13:15.945816Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8dbebafb573ebbff5aa89b7400623e5672de20a320eca6fbde0839911ca3d03

Aliases

arxiv: 1512.06089 · arxiv_version: 1512.06089v1 · doi: 10.48550/arxiv.1512.06089 · pith_short_12: 3DN6XL5VOPV3 · pith_short_16: 3DN6XL5VOPV375NK · pith_short_8: 3DN6XL5V

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/3DN6XL5VOPV375NKRG3UABRD4V \
  | 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: d8dbebafb573ebbff5aa89b7400623e5672de20a320eca6fbde0839911ca3d03

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9e414f75e0f8c5c796eabfe2cd80f900184031bb82048ff129cb8568c5f15d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-12-18T19:50:03Z",
    "title_canon_sha256": "1c0fa00b136f7262f2c901ccaeaafff6bcbc038f0c6a59582cd649b3b0fa10f4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06089",
    "kind": "arxiv",
    "version": 1
  }
}