Pith Number

pith:ZY3MPGQO

pith:2005:ZY3MPGQONI5ZHN3NN6UZTD7GNP

not attested not anchored not stored refs pending

Sensitivity of ray dynamics in an underwater sound channel to vertical scale of longitudinal sound-speed variations

D.V. Makarov, M.Yu. Martynov, M.Yu. Uleysky

arxiv:physics/0508226 v2 · 2005-08-31 · physics.ao-ph · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZY3MPGQONI5ZHN3NN6UZTD7GNP}

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	2026-05-18T01:05:08.361874Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ce36c79a0e6a3b93b76d6fa9998fe66bd79e93cf8aac6435dc7cb92e1822b6a7

Aliases

arxiv: physics/0508226 · arxiv_version: physics/0508226v2 · doi: 10.48550/arxiv.physics/0508226 · pith_short_12: ZY3MPGQONI5Z · pith_short_16: ZY3MPGQONI5ZHN3N · pith_short_8: ZY3MPGQO

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/ZY3MPGQONI5ZHN3NN6UZTD7GNP \
  | 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: ce36c79a0e6a3b93b76d6fa9998fe66bd79e93cf8aac6435dc7cb92e1822b6a7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bc824cf6fd40a30ade5bed37e563d3be112d3f49f077f8b4916ae56898e80f7a",
    "cross_cats_sorted": [
      "nlin.CD"
    ],
    "license": "",
    "primary_cat": "physics.ao-ph",
    "submitted_at": "2005-08-31T03:12:30Z",
    "title_canon_sha256": "6b16da67a306b3403ba9efb730751cf4f01eb42072e0a975aad77266d7278977"
  },
  "schema_version": "1.0",
  "source": {
    "id": "physics/0508226",
    "kind": "arxiv",
    "version": 2
  }
}