Pith Number

pith:EMK3XLGA

pith:2026:EMK3XLGAWWGXKDS4DWNNPBBDG6

not attested not anchored not stored refs pending

Complete Weierstrass elliptic function solutions for coherent couplers and their relation to degenerate four-wave mixing

Graham Hesketh

arxiv:2605.19216 v1 · 2026-05-19 · nlin.SI

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EMK3XLGAWWGXKDS4DWNNPBBDG6}

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	2026-05-20T01:05:33.975834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2315bbacc0b58d750e5c1d9ad7842337b32d7fa23aa48451a1924f4620fdd30b

Aliases

arxiv: 2605.19216 · arxiv_version: 2605.19216v1 · doi: 10.48550/arxiv.2605.19216 · pith_short_12: EMK3XLGAWWGX · pith_short_16: EMK3XLGAWWGXKDS4 · pith_short_8: EMK3XLGA

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/EMK3XLGAWWGXKDS4DWNNPBBDG6 \
  | 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: 2315bbacc0b58d750e5c1d9ad7842337b32d7fa23aa48451a1924f4620fdd30b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "785b338a0cb94783e2a5d71e0a042757dd34a4df7ae5f5fe41b06bd41fac8b91",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "nlin.SI",
    "submitted_at": "2026-05-19T00:41:23Z",
    "title_canon_sha256": "8ab749a47d9f1421f4681e8bf6b153024a256dc82af48209f5b0c1acd7a70e55"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.19216",
    "kind": "arxiv",
    "version": 1
  }
}