Pith Number

pith:PUMLEYFZ

pith:2015:PUMLEYFZOOTXULFA7PA7SMBNZU

not attested not anchored not stored refs pending

On defocusing coupled nonlinear Schrodinger equations

Tarek Saanouni

arxiv:1505.07059 v1 · 2015-05-24 · 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{PUMLEYFZOOTXULFA7PA7SMBNZU}

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	2026-05-18T02:03:27.264938Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d18b260b973a77a2ca0fbc1f9302dcd21b0057f2847ca7706f51f8100c4fa7b

Aliases

arxiv: 1505.07059 · arxiv_version: 1505.07059v1 · doi: 10.48550/arxiv.1505.07059 · pith_short_12: PUMLEYFZOOTX · pith_short_16: PUMLEYFZOOTXULFA · pith_short_8: PUMLEYFZ

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/PUMLEYFZOOTXULFA7PA7SMBNZU \
  | 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: 7d18b260b973a77a2ca0fbc1f9302dcd21b0057f2847ca7706f51f8100c4fa7b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ba08374c87a49bd7dd7830a07ce75f1ba10b0486d111b13f8fdd2b5e168ec614",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-05-24T11:01:30Z",
    "title_canon_sha256": "8ff9aeaffd56ec44ed11de5029b8292d6e577965968ed67fdad56bb00d4a9244"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.07059",
    "kind": "arxiv",
    "version": 1
  }
}