pith. sign in
Pith Number

pith:B3Z5KW3W

pith:2011:B3Z5KW3WCBYUQQJICLJS5B7EAF
not attested not anchored not stored refs pending

Nonlinear waves in bubbly liquids with consideration for viscosity and heat transfer

Dmitry I. Sinelshchikov, Nikolay A. Kudryashov

arxiv:1112.5436 v1 · 2011-12-22 · nlin.PS

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{B3Z5KW3WCBYUQQJICLJS5B7EAF}

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 2026-05-18T04:05:47.362686Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0ef3d55b76107148412812d32e87e40168776d27e97132e9f4a906703ee8a5cc

Aliases

arxiv: 1112.5436 · arxiv_version: 1112.5436v1 · doi: 10.48550/arxiv.1112.5436 · pith_short_12: B3Z5KW3WCBYU · pith_short_16: B3Z5KW3WCBYUQQJI · pith_short_8: B3Z5KW3W
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/B3Z5KW3WCBYUQQJICLJS5B7EAF \
  | 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: 0ef3d55b76107148412812d32e87e40168776d27e97132e9f4a906703ee8a5cc
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "d748ee21483c3430786185a651bfd3ce7f1d824fc00586935a7997203139d82e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2011-12-22T20:22:18Z",
    "title_canon_sha256": "375236dd7e886e9b56145dad74883b97a94daa439031cee8031510c4dc39a2bd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5436",
    "kind": "arxiv",
    "version": 1
  }
}