Pith Number

pith:XATUBNJU

pith:2010:XATUBNJUM7OUJPIKMJV4KLKG66

not attested not anchored not stored refs pending

Splitting broad beams into arrays of dissipative spatial solitons by material and virtual gratings

B. A. Malomed, B. Hu, F. Ye, H. Z. Wang, J. Dong, Y. J. He, Z. Qiu

arxiv:1011.1306 v1 · 2010-11-05 · 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{XATUBNJUM7OUJPIKMJV4KLKG66}

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	2026-05-18T02:04:52.626634Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b82740b53467dd44bd0a626bc52d46f7b19f74f5d1bb50a7cf9e6dc6076f764e

Aliases

arxiv: 1011.1306 · arxiv_version: 1011.1306v1 · doi: 10.48550/arxiv.1011.1306 · pith_short_12: XATUBNJUM7OU · pith_short_16: XATUBNJUM7OUJPIK · pith_short_8: XATUBNJU

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/XATUBNJUM7OUJPIKMJV4KLKG66 \
  | 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: b82740b53467dd44bd0a626bc52d46f7b19f74f5d1bb50a7cf9e6dc6076f764e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a2c903c051df21c65b1fe9f87626c45d8b641d4e056fb7fc6dc55a148112759a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2010-11-05T01:37:14Z",
    "title_canon_sha256": "183c0d8c9d5447f8187e424cfd28b0a3e15537c81a158a92e7f79858277127bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.1306",
    "kind": "arxiv",
    "version": 1
  }
}