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Pith Number

pith:SCBQF4N7

pith:2023:SCBQF4N7YXYXYOK4X2CKXTZSPO
not attested not anchored not stored refs pending

Derivation of the wave kinetic equation: full range of scaling laws

Yu Deng, Zaher Hani

arxiv:2301.07063 v2 · 2023-01-17 · math.AP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{SCBQF4N7YXYXYOK4X2CKXTZSPO}

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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.

Cited by

6 papers in Pith

Receipt and verification
First computed 2026-07-05T05:52:25.635845Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

908302f1bfc5f17c395cbe84abcf327bb58af5f91a59e2e81416255c2b33b91c

Aliases

arxiv: 2301.07063 · arxiv_version: 2301.07063v2 · doi: 10.48550/arxiv.2301.07063 · pith_short_12: SCBQF4N7YXYX · pith_short_16: SCBQF4N7YXYXYOK4 · pith_short_8: SCBQF4N7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/SCBQF4N7YXYXYOK4X2CKXTZSPO \
  | 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: 908302f1bfc5f17c395cbe84abcf327bb58af5f91a59e2e81416255c2b33b91c
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "c324f65987078f968f6a478327baebfae8e927c6b66ce6d69785dfe2d45535e1",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2023-01-17T18:27:15Z",
    "title_canon_sha256": "7a6cc3ff779fa0f9410d0a4d61358bea941c0cceb481e703b2f56d4769193463"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2301.07063",
    "kind": "arxiv",
    "version": 2
  }
}