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Pith Number

pith:B72MQMFW

pith:2012:B72MQMFWBNHUNSJ3JLERSNPRCC
not attested not anchored not stored refs pending

Nonlinear acoustic waves in channels with variable cross sections

Oleg V. Rudenko, Vladimir F. Kovalev

arxiv:1208.1360 v2 · 2012-08-07 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{B72MQMFWBNHUNSJ3JLERSNPRCC}

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 2026-05-18T01:55:22.315392Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

0ff4c830b60b4f46c93b4ac91935f1109bcb0634aba7ae36949a97ee30e595c3

Aliases

arxiv: 1208.1360 · arxiv_version: 1208.1360v2 · doi: 10.48550/arxiv.1208.1360 · pith_short_12: B72MQMFWBNHU · pith_short_16: B72MQMFWBNHUNSJ3 · pith_short_8: B72MQMFW
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/B72MQMFWBNHUNSJ3JLERSNPRCC \
  | 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: 0ff4c830b60b4f46c93b4ac91935f1109bcb0634aba7ae36949a97ee30e595c3
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "8af302d5f01ad5d4b245e8635e4b715238e64d6eb7ff70276d52d75b05cf306e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-08-07T08:15:26Z",
    "title_canon_sha256": "e9c99eda64eccd96c04ca5e56b26bc33b0c1374945fccfc86f1c90d2190bc457"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.1360",
    "kind": "arxiv",
    "version": 2
  }
}