pith. sign in
Pith Number

pith:BFDJG6ON

pith:2012:BFDJG6ONDNHPSVVOXPVKLONQEY
not attested not anchored not stored refs pending

Equation for three-dimensional nonlinear waves in liquid with gas bubbles

Dmitry I. Sinelshchikov, Nikolay A. Kudryashov

arxiv:1201.4583 v1 · 2012-01-22 · nlin.PS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{BFDJG6ONDNHPSVVOXPVKLONQEY}

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 2026-05-18T04:04:05.659386Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

09469379cd1b4ef956aebbeaa5b9b0262274cc510567416a4ae058e27b4b33de

Aliases

arxiv: 1201.4583 · arxiv_version: 1201.4583v1 · doi: 10.48550/arxiv.1201.4583 · pith_short_12: BFDJG6ONDNHP · pith_short_16: BFDJG6ONDNHPSVVO · pith_short_8: BFDJG6ON
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/BFDJG6ONDNHPSVVOXPVKLONQEY \
  | 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: 09469379cd1b4ef956aebbeaa5b9b0262274cc510567416a4ae058e27b4b33de
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "5e1b96727cd04c2c26ae00626160e8da886a35bf2fe7405d84b0f246cbcaa913",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2012-01-22T18:17:05Z",
    "title_canon_sha256": "4c82db9cb9f0776fd5c37bbe3d5d9d1e613e8258438dc78c178f8de451c3bab7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4583",
    "kind": "arxiv",
    "version": 1
  }
}