Pith Number

pith:7LZVAQHE

pith:2010:7LZVAQHE4GANU7RNKYKYI2YTY6

not attested not anchored not stored refs pending

Modulation of breathers in the three-dimensional nonlinear Gross-Pitaevskii equation

A. T. Avelar, D. Bazeia, W. B. Cardoso

arxiv:1011.4824 v1 · 2010-11-22 · quant-ph · cond-mat.quant-gas · nlin.PS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7LZVAQHE4GANU7RNKYKYI2YTY6}

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	2026-05-18T02:04:42.582680Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

faf35040e4e180da7e2d5615846b13c7b3cf666da9d44d629544761c2d4537be

Aliases

arxiv: 1011.4824 · arxiv_version: 1011.4824v1 · doi: 10.48550/arxiv.1011.4824 · pith_short_12: 7LZVAQHE4GAN · pith_short_16: 7LZVAQHE4GANU7RN · pith_short_8: 7LZVAQHE

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/7LZVAQHE4GANU7RNKYKYI2YTY6 \
  | 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: faf35040e4e180da7e2d5615846b13c7b3cf666da9d44d629544761c2d4537be

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81017c7262b53348564ee90d63510377aebd5ec6605f877d10dced98da97a585",
    "cross_cats_sorted": [
      "cond-mat.quant-gas",
      "nlin.PS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "quant-ph",
    "submitted_at": "2010-11-22T14:38:42Z",
    "title_canon_sha256": "d319c102729579e7390753ea04cd84e02f24238f3491ba61466df25a4f3de48b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.4824",
    "kind": "arxiv",
    "version": 1
  }
}