Pith Number

pith:QZXNZT34

pith:2014:QZXNZT34IRM2XTOZVRSVTEGVA5

not attested not anchored not stored refs pending

Recovery of ordered periodic orbits with increasing wavelength for sound propagation in a range-dependent waveguide

D.V. Makarov, E.V. Sosedko, L.E. Kon'kov, M.Yu. Uleysky

arxiv:1403.4431 v1 · 2014-03-18 · nlin.CD · physics.ao-ph · physics.flu-dyn · physics.optics · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QZXNZT34IRM2XTOZVRSVTEGVA5}

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	2026-05-18T01:43:59.987612Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

866edccf7c4459abcdd9ac655990d50754d1eb69e723f600a6fedd45872eecdd

Aliases

arxiv: 1403.4431 · arxiv_version: 1403.4431v1 · doi: 10.48550/arxiv.1403.4431 · pith_short_12: QZXNZT34IRM2 · pith_short_16: QZXNZT34IRM2XTOZ · pith_short_8: QZXNZT34

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/QZXNZT34IRM2XTOZVRSVTEGVA5 \
  | 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: 866edccf7c4459abcdd9ac655990d50754d1eb69e723f600a6fedd45872eecdd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37c86d45b6f7f601bbea6f8b6a092ec14e4480917013f0717a06e8c74a272028",
    "cross_cats_sorted": [
      "physics.ao-ph",
      "physics.flu-dyn",
      "physics.optics",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nlin.CD",
    "submitted_at": "2014-03-18T12:25:41Z",
    "title_canon_sha256": "5fb3180a18167411a4b1bbf29455a18f11acd920925e8b818e709f94e68d7ae5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.4431",
    "kind": "arxiv",
    "version": 1
  }
}