Pith Number

pith:QWD4EFU3

pith:2024:QWD4EFU3SCO42VHLJXKBPHHU7S

not attested not anchored not stored refs pending

On the Uniqueness and Orbital Stability of Slow and Fast Solitary Wave Solutions of the Benjamin Equation

Luc Molinet, May Abdallah, Mohamad Darwich

arxiv:2404.04711 v4 · 2024-04-06 · math.AP · 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{QWD4EFU3SCO42VHLJXKBPHHU7S}

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	2026-07-05T08:15:12.801773Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8587c2169b909dcd54eb4dd4179cf4fcb00b64dd71f5a8563d89bdbb87723243

Aliases

arxiv: 2404.04711 · arxiv_version: 2404.04711v4 · doi: 10.48550/arxiv.2404.04711 · pith_short_12: QWD4EFU3SCO4 · pith_short_16: QWD4EFU3SCO42VHL · pith_short_8: QWD4EFU3

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/QWD4EFU3SCO42VHLJXKBPHHU7S \
  | 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: 8587c2169b909dcd54eb4dd4179cf4fcb00b64dd71f5a8563d89bdbb87723243

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8071a269f576aa5f2712c69ef7e947cd29739ec03e00ac61137422f768921a8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-04-06T19:08:28Z",
    "title_canon_sha256": "818ed8497697e0cf0654d9b83ed9e4738af8fdf1549b165ec53978a79412ebc8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.04711",
    "kind": "arxiv",
    "version": 4
  }
}