Pith Number

pith:FF6TNNRX

pith:2015:FF6TNNRXOVSF5KEE4S3BTY6MNY

not attested not anchored not stored refs pending

Gevrey class smoothing effect for the Prandtl equation

Chao-Jiang Xu (LMRS), Di Wu, Weixi Li

arxiv:1502.03569 v3 · 2015-02-12 · 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{FF6TNNRXOVSF5KEE4S3BTY6MNY}

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	2026-05-18T02:02:07.926633Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

297d36b63775645ea884e4b619e3cc6e0d73c4dcd6319f305e6c0c918f44012d

Aliases

arxiv: 1502.03569 · arxiv_version: 1502.03569v3 · doi: 10.48550/arxiv.1502.03569 · pith_short_12: FF6TNNRXOVSF · pith_short_16: FF6TNNRXOVSF5KEE · pith_short_8: FF6TNNRX

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/FF6TNNRXOVSF5KEE4S3BTY6MNY \
  | 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: 297d36b63775645ea884e4b619e3cc6e0d73c4dcd6319f305e6c0c918f44012d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f026730e80563b247962ae2aaac40c2e1b8e58654523e5de58f0557ebebe2d1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-02-12T08:56:27Z",
    "title_canon_sha256": "abbd2527b8dd900cf7980d49aff0faf11966d317b2951c39a24b10d0a28d477e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.03569",
    "kind": "arxiv",
    "version": 3
  }
}