Pith Number

pith:6IJYROVL

pith:2025:6IJYROVLAHHIUG3ZA6HZYOU4JK

not attested not anchored not stored refs pending

Norm Inflation For The Critical SQG Equation

Dengjun Guo, Xiaoyutao Luo

arxiv:2512.08816 v2 · 2025-12-09 · 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{6IJYROVLAHHIUG3ZA6HZYOU4JK}

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	2026-05-27T01:05:40.838505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f21388baab01ce8a1b79078f9c3a9c4aa4b0bb9bb8d5aa56021c7339df7dd604

Aliases

arxiv: 2512.08816 · arxiv_version: 2512.08816v2 · doi: 10.48550/arxiv.2512.08816 · pith_short_12: 6IJYROVLAHHI · pith_short_16: 6IJYROVLAHHIUG3Z · pith_short_8: 6IJYROVL

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/6IJYROVLAHHIUG3ZA6HZYOU4JK \
  | 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: f21388baab01ce8a1b79078f9c3a9c4aa4b0bb9bb8d5aa56021c7339df7dd604

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db2a7d47d93c5a430c50c40302219113e88a500182375170a32d09fc35695f05",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2025-12-09T17:09:40Z",
    "title_canon_sha256": "204d55bcfc517c5693cc497c1b0dfb174a7f6e4bb023c57abac26e243bb87274"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2512.08816",
    "kind": "arxiv",
    "version": 2
  }
}