Pith Number

pith:4WWOZLJI

pith:2011:4WWOZLJISN4CNOBX55G5X2HHLE

not attested not anchored not stored refs pending

On the stability of self-similar solutions of 1D cubic Schrodinger equations

Luis Vega, Susana Gutierrez

arxiv:1103.5403 v1 · 2011-03-28 · 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{4WWOZLJISN4CNOBX55G5X2HHLE}

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	2026-05-18T04:25:38.150029Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5acecad28937826b837ef4ddbe8e7593fb2d5acd91c13f94944a3be5e17a468

Aliases

arxiv: 1103.5403 · arxiv_version: 1103.5403v1 · doi: 10.48550/arxiv.1103.5403 · pith_short_12: 4WWOZLJISN4C · pith_short_16: 4WWOZLJISN4CNOBX · pith_short_8: 4WWOZLJI

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/4WWOZLJISN4CNOBX55G5X2HHLE \
  | 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: e5acecad28937826b837ef4ddbe8e7593fb2d5acd91c13f94944a3be5e17a468

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6368a80fd003634079916a11fadbd8033ba80ab64b492720cc5823114c8e54b4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-03-28T16:18:11Z",
    "title_canon_sha256": "0b04ce6df1576bd40f45914f4ad87a0ec8a62c48b4a9701fa3ac889a6259b313"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.5403",
    "kind": "arxiv",
    "version": 1
  }
}