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Pith Number

pith:E46R3SYG

pith:2005:E46R3SYG2KMHUZEWO5DD6VNZGW
not attested not anchored not stored refs pending

Oceanic Internal Wave Field: Theory of Scale-invariant Spectra

Esteban G. Tabak, Kurt L. Polzin, Naoto Yokoyama, Yuri V. Lvov

arxiv:math-ph/0505050 v3 · 2005-05-19 · math-ph · math.MP · physics.ao-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{E46R3SYG2KMHUZEWO5DD6VNZGW}

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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 2026-05-18T04:41:15.552501Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

273d1dcb06d2987a649677463f55b9358a9a1fd45aa4ac71179226a44eb0c9dd

Aliases

arxiv: math-ph/0505050 · arxiv_version: math-ph/0505050v3 · doi: 10.48550/arxiv.math-ph/0505050 · pith_short_12: E46R3SYG2KMH · pith_short_16: E46R3SYG2KMHUZEW · pith_short_8: E46R3SYG
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/E46R3SYG2KMHUZEWO5DD6VNZGW \
  | 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: 273d1dcb06d2987a649677463f55b9358a9a1fd45aa4ac71179226a44eb0c9dd
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "299c0720f892655a3c4f4445cde869b5d5f170dc10ae7a4766af7fa5137f990f",
    "cross_cats_sorted": [
      "math.MP",
      "physics.ao-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2005-05-19T17:47:20Z",
    "title_canon_sha256": "607fa366963b99248efe2c89f79e8315b4f82373fdd132fb88a888fc3fae6557"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math-ph/0505050",
    "kind": "arxiv",
    "version": 3
  }
}