Pith Number

pith:3D4GHOAF

pith:2003:3D4GHOAFVQPUMRMQ5GSIDWEIYJ

not attested not anchored not stored refs pending

Quasiperiodic localized oscillating solutions in the discrete nonlinear Schr\"odinger equation with alternating on-site potential

Andrey V. Gorbach (MPIPKS, Dresden, Germany), Magnus Johansson (Link\"oping University, Sweden)

arxiv:nlin/0312066 v2 · 2003-12-29 · nlin.PS · cond-mat · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3D4GHOAFVQPUMRMQ5GSIDWEIYJ}

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	2026-07-04T14:41:50.013351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d8f863b805ac1f464590e9a481d888c259e9152c07b168a07c69945da70015ef

Aliases

arxiv: nlin/0312066 · arxiv_version: nlin/0312066v2 · doi: 10.48550/arxiv.nlin/0312066 · pith_short_12: 3D4GHOAFVQPU · pith_short_16: 3D4GHOAFVQPUMRMQ · pith_short_8: 3D4GHOAF

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/3D4GHOAFVQPUMRMQ5GSIDWEIYJ \
  | 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: d8f863b805ac1f464590e9a481d888c259e9152c07b168a07c69945da70015ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9bc8f5a8cd33c67700bdcfa4bf6707877ce6e039926005352082882b07295e83",
    "cross_cats_sorted": [
      "cond-mat",
      "physics.optics"
    ],
    "license": "",
    "primary_cat": "nlin.PS",
    "submitted_at": "2003-12-29T18:33:02Z",
    "title_canon_sha256": "ff5d7f7d4251714fd61ab59398a9b604b8e6c305824d41ab3a807eab18e0e5c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "nlin/0312066",
    "kind": "arxiv",
    "version": 2
  }
}