Pith Number

pith:CXB2DYVS

pith:2011:CXB2DYVSOJMHB6SCRCQWRKZ2KB

not attested not anchored not stored refs pending

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

Dmitry I. Sinelshchikov, Nikolay A. Kudryashov

arxiv:1112.5450 v1 · 2011-12-22 · 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{CXB2DYVSOJMHB6SCRCQWRKZ2KB}

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	2026-05-18T04:05:47.318066Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

15c3a1e2b2725870fa4288a168ab3a506210517aeff1df21c9cca0391ed3a995

Aliases

arxiv: 1112.5450 · arxiv_version: 1112.5450v1 · doi: 10.48550/arxiv.1112.5450 · pith_short_12: CXB2DYVSOJMH · pith_short_16: CXB2DYVSOJMHB6SC · pith_short_8: CXB2DYVS

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/CXB2DYVSOJMHB6SCRCQWRKZ2KB \
  | 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: 15c3a1e2b2725870fa4288a168ab3a506210517aeff1df21c9cca0391ed3a995

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67d33e93925735b5a99ba37e51d20ecac9d5d67b7724e103da17dd771b26e9f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.PS",
    "submitted_at": "2011-12-22T20:53:15Z",
    "title_canon_sha256": "577c86d8dec24c6688a0871c1c42e63bfb2e4ef984ec136a31679313bda62fc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5450",
    "kind": "arxiv",
    "version": 1
  }
}