Pith Number

pith:VCBKK3VS

pith:2015:VCBKK3VSHTNX4NCCIVKM5QWNXY

not attested not anchored not stored refs pending

Long time behavior and critical limit of subcritical SQG equations in scale-invariant Sobolev spaces

Michele Coti Zelati

arxiv:1512.00497 v2 · 2015-12-01 · 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{VCBKK3VSHTNX4NCCIVKM5QWNXY}

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	2026-05-18T00:46:08.346005Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a882a56eb23cdb7e34424554cec2cdbe387c10e89ad1153b494538c37d2089c6

Aliases

arxiv: 1512.00497 · arxiv_version: 1512.00497v2 · doi: 10.48550/arxiv.1512.00497 · pith_short_12: VCBKK3VSHTNX · pith_short_16: VCBKK3VSHTNX4NCC · pith_short_8: VCBKK3VS

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/VCBKK3VSHTNX4NCCIVKM5QWNXY \
  | 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: a882a56eb23cdb7e34424554cec2cdbe387c10e89ad1153b494538c37d2089c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c5ab59cf840570b488fb9121dd11eae7c6f5d898b2dba6f70f48e9f9334f977",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-01T21:58:58Z",
    "title_canon_sha256": "a1386ed95fa1885f64f8952681486edc0ae758e5b9f44595cd067274f5a63a04"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.00497",
    "kind": "arxiv",
    "version": 2
  }
}