Pith Number

pith:Z57JEPKG

pith:2006:Z57JEPKG6GQ4LL5LESVNVQFSB5

not attested not anchored not stored refs pending

A new Bernstein's Inequality and the 2D Dissipative Quasi-Geostrophic Equation

Changxing Miao, Qionglei Chen, Zhifei Zhang

arxiv:math/0607020 v3 · 2006-07-01 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z57JEPKG6GQ4LL5LESVNVQFSB5}

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	2026-07-04T15:14:58.963499Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf7e923d46f1a1c5afab24aadac0b20f5523b6a1679b4fb7fe4c4aae4cb67db0

Aliases

arxiv: math/0607020 · arxiv_version: math/0607020v3 · doi: 10.48550/arxiv.math/0607020 · pith_short_12: Z57JEPKG6GQ4 · pith_short_16: Z57JEPKG6GQ4LL5L · pith_short_8: Z57JEPKG

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/Z57JEPKG6GQ4LL5LESVNVQFSB5 \
  | 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: cf7e923d46f1a1c5afab24aadac0b20f5523b6a1679b4fb7fe4c4aae4cb67db0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a981bd75769e62490486d3eba78645b73e392f1e5b7f615078c92ab07721b1b",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2006-07-01T12:36:44Z",
    "title_canon_sha256": "c9a7bcd34cebb35568b03ef49bf4ab05bb04cdd061f6ac7d9bdf43debd725095"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0607020",
    "kind": "arxiv",
    "version": 3
  }
}