Pith Number

pith:LPBEUKFU

pith:2009:LPBEUKFUWUPBT2SZH7HJPZHZZI

not attested not anchored not stored refs pending

Weakly nonlinear Schr\"odinger equation with random initial data

Herbert Spohn, Jani Lukkarinen

arxiv:0901.3283 v2 · 2009-01-21 · math-ph · math.DS · 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{LPBEUKFUWUPBT2SZH7HJPZHZZI}

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	2026-05-18T04:30:37.087559Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5bc24a28b4b51e19ea593fce97e4f9ca38bd814bdac64bc9e1cafe2d5beca4ce

Aliases

arxiv: 0901.3283 · arxiv_version: 0901.3283v2 · doi: 10.48550/arxiv.0901.3283 · pith_short_12: LPBEUKFUWUPB · pith_short_16: LPBEUKFUWUPBT2SZ · pith_short_8: LPBEUKFU

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/LPBEUKFUWUPBT2SZH7HJPZHZZI \
  | 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: 5bc24a28b4b51e19ea593fce97e4f9ca38bd814bdac64bc9e1cafe2d5beca4ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "70a96cb30c01d3f5f385a60e9a522af2704bd5477aeb9d1353c4ebbbf5616a17",
    "cross_cats_sorted": [
      "math.DS",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2009-01-21T14:37:02Z",
    "title_canon_sha256": "59fb091e13b9a0b98043835fcb57903420dcc592a722b1e737bde9878df1fcba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0901.3283",
    "kind": "arxiv",
    "version": 2
  }
}