Pith Number

pith:MV4IINOS

pith:2024:MV4IINOSIL5RQO3MWZ26CTFSRS

not attested not anchored not stored refs pending

An Onsager-type Theorem for General 2D Active Scalar Equations

Xuanxuan Zhao

arxiv:2412.11094 v2 · 2024-12-15 · 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{MV4IINOSIL5RQO3MWZ26CTFSRS}

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.

Cited by

1 paper in Pith

Hamiltonian compactness and dissipation for the generalized SQG equation in the inviscid limit

Receipt and verification

First computed	2026-07-05T11:00:40.964930Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

65788435d242fb183b6cb675e14cb28ca6588a571d2be648055f651863b81538

Aliases

arxiv: 2412.11094 · arxiv_version: 2412.11094v2 · doi: 10.48550/arxiv.2412.11094 · pith_short_12: MV4IINOSIL5R · pith_short_16: MV4IINOSIL5RQO3M · pith_short_8: MV4IINOS

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/MV4IINOSIL5RQO3MWZ26CTFSRS \
  | 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: 65788435d242fb183b6cb675e14cb28ca6588a571d2be648055f651863b81538

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "428d46b7de40a813e2419084ed3e170109aa4fa06a66501772adfb7b11a64ea0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-12-15T07:28:40Z",
    "title_canon_sha256": "bda6b14b1c28bfce2f9bb471cf1d6f8dde4f439ca852fe85fa2a150e958712b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.11094",
    "kind": "arxiv",
    "version": 2
  }
}