Pith Number

pith:RIEQODVB

pith:2021:RIEQODVBE3CSINCSWFC7ZUWKJA

not attested not anchored not stored refs pending

Gevrey well-posedness of the hyperbolic Prandtl equations

Rui Xu, Wei-Xi Li

arxiv:2112.10450 v1 · 2021-12-20 · 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{RIEQODVBE3CSINCSWFC7ZUWKJA}

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

Long time well-posedness for the 3D Prandtl boundary layer equations with a special structure

Receipt and verification

First computed	2026-07-05T03:42:15.264675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a09070ea126c5243452b145fcd2ca480ffd4a6c3ad971666d6cce4608bcf469

Aliases

arxiv: 2112.10450 · arxiv_version: 2112.10450v1 · doi: 10.48550/arxiv.2112.10450 · pith_short_12: RIEQODVBE3CS · pith_short_16: RIEQODVBE3CSINCS · pith_short_8: RIEQODVB

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/RIEQODVBE3CSINCSWFC7ZUWKJA \
  | 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: 8a09070ea126c5243452b145fcd2ca480ffd4a6c3ad971666d6cce4608bcf469

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "01cf6f4c59bcc181e57f2a1049a0ca2cc7875e81785e0a2cce647faaa9537063",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2021-12-20T11:24:00Z",
    "title_canon_sha256": "3c1804054763524f0778f7473122bb7fc0a7b690b95236ebd4d04fe00f83ad27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2112.10450",
    "kind": "arxiv",
    "version": 1
  }
}