pith. sign in
Pith Number

pith:Y5FMC5QH

pith:2009:Y5FMC5QHLAUMFYEHG7T462F43P
not attested not anchored not stored refs pending

Gap Solitons and Bloch Waves in Nonlinear Periodic Systems

Biao Wu, Yongping Zhang, Zhaoxin Liang

arxiv:0904.4417 v1 · 2009-04-28 · cond-mat.quant-gas · cond-mat.other

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{Y5FMC5QHLAUMFYEHG7T462F43P}

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 2026-05-18T02:13:56.643085Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c74ac176075828c2e08737e7cf68bcdbd5f70ea6982dc2dc5a30837ad1fdf1df

Aliases

arxiv: 0904.4417 · arxiv_version: 0904.4417v1 · doi: 10.48550/arxiv.0904.4417 · pith_short_12: Y5FMC5QHLAUM · pith_short_16: Y5FMC5QHLAUMFYEH · pith_short_8: Y5FMC5QH
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/Y5FMC5QHLAUMFYEHG7T462F43P \
  | 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: c74ac176075828c2e08737e7cf68bcdbd5f70ea6982dc2dc5a30837ad1fdf1df
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "e0b669431d53af589344c61263ea9d9d10945a8129d1e3122f45340035fce6b1",
    "cross_cats_sorted": [
      "cond-mat.other"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.quant-gas",
    "submitted_at": "2009-04-28T14:55:35Z",
    "title_canon_sha256": "412cd2923129958fc65012089b5bcfec72317b153aefcd033081924e74ab95f6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0904.4417",
    "kind": "arxiv",
    "version": 1
  }
}