Pith Number

pith:JE6DFH5V

pith:2012:JE6DFH5V5OXINAM7G7SAWWO3RV

not attested not anchored not stored refs pending

A Rogue-Langmuir-type traveling wave continuous solution to nonlinearly dispersive Schr\"{o}dinger equation using a polynomial expansion scheme

Karem Boubaker, Lin Zhang

arxiv:1207.6516 v1 · 2012-07-27 · math-ph · math.FA · 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{JE6DFH5V5OXINAM7G7SAWWO3RV}

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	2026-05-18T03:49:59.124804Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

493c329fb5ebae86819f37e40b59db8d4f2e66b26ba47fb799baab7a4fc6fd98

Aliases

arxiv: 1207.6516 · arxiv_version: 1207.6516v1 · doi: 10.48550/arxiv.1207.6516 · pith_short_12: JE6DFH5V5OXI · pith_short_16: JE6DFH5V5OXINAM7 · pith_short_8: JE6DFH5V

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/JE6DFH5V5OXINAM7G7SAWWO3RV \
  | 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: 493c329fb5ebae86819f37e40b59db8d4f2e66b26ba47fb799baab7a4fc6fd98

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "170301ead97e0e38f08365506c0fd5d590c8f8b210f98697283f033fb710116b",
    "cross_cats_sorted": [
      "math.FA",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-07-27T11:29:53Z",
    "title_canon_sha256": "fc6e0c61c1f9fc5cfba86dc7151074211698e4ce54318f46c595749ea098855d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6516",
    "kind": "arxiv",
    "version": 1
  }
}