Pith Number

pith:TIP4DAJZ

pith:2018:TIP4DAJZOYZEVH4CIO2ZJKVQL6

not attested not anchored not stored refs pending

A 2D Schrodinger equation with time-oscillating exponential nonlinearity

Abdelwahab Bensouilah, Dhouha Draouil, Mohamed Majdoub

arxiv:1812.06005 v1 · 2018-12-14 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TIP4DAJZOYZEVH4CIO2ZJKVQL6}

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	2026-05-17T23:58:15.799740Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a1fc1813976324a9f8243b594aab05f91ebb35105355be46fd6fb31d5c3c877

Aliases

arxiv: 1812.06005 · arxiv_version: 1812.06005v1 · doi: 10.48550/arxiv.1812.06005 · pith_short_12: TIP4DAJZOYZE · pith_short_16: TIP4DAJZOYZEVH4C · pith_short_8: TIP4DAJZ

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/TIP4DAJZOYZEVH4CIO2ZJKVQL6 \
  | 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: 9a1fc1813976324a9f8243b594aab05f91ebb35105355be46fd6fb31d5c3c877

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4965c92acc8399a553fc03ae0acf093737e359f1ef59e07d34c67d25e786e6eb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-12-14T16:20:41Z",
    "title_canon_sha256": "f9b7eb7b6f484c35a8912b048d039fd8e4e81c862a538f24b7286eeb1054cb60"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.06005",
    "kind": "arxiv",
    "version": 1
  }
}