Pith Number

pith:USJCQBS7

pith:2000:USJCQBS7MMEHB5Z3WDLARGNBSR

not attested not anchored not stored refs pending

Averaging Principle for Quasi-Geostrophic Motions under Rapidly Oscillating Forcing

Hongjun Gao, Jinqiao Duan

arxiv:math/0010256 v1 · 2000-10-26 · math.AP · math-ph · math.DS · math.MP · nlin.CD · nlin.PS · physics.ao-ph · physics.flu-dyn · physics.geo-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{USJCQBS7MMEHB5Z3WDLARGNBSR}

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	2026-05-18T01:05:38.161875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a49228065f630870f73bb0d60899a19462b91b6d07dcfa1b14840b791fa2f76e

Aliases

arxiv: math/0010256 · arxiv_version: math/0010256v1 · doi: 10.48550/arxiv.math/0010256 · pith_short_12: USJCQBS7MMEH · pith_short_16: USJCQBS7MMEHB5Z3 · pith_short_8: USJCQBS7

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/USJCQBS7MMEHB5Z3WDLARGNBSR \
  | 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: a49228065f630870f73bb0d60899a19462b91b6d07dcfa1b14840b791fa2f76e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7ed8b7c69f00d1058978c46ed4f4f8b9e9739c2f2655b0818c69e010c0c55343",
    "cross_cats_sorted": [
      "math-ph",
      "math.DS",
      "math.MP",
      "nlin.CD",
      "nlin.PS",
      "physics.ao-ph",
      "physics.flu-dyn",
      "physics.geo-ph"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2000-10-26T22:09:49Z",
    "title_canon_sha256": "c4decee0d027fc060af09b87574271e151eb91a9f2ad7bcff682d69f54c9abff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0010256",
    "kind": "arxiv",
    "version": 1
  }
}