Pith Number

pith:QAHLM4KV

pith:2024:QAHLM4KV3IPJIA5RPACZ5JT6KD

not attested not anchored not stored refs pending

Prandtl Equations and Related Boundary Layer Equations

Xiaolei Dong, Xiuqing Wang, Yuming Qin

arxiv:2411.14081 v1 · 2024-11-21 · 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{QAHLM4KV3IPJIA5RPACZ5JT6KD}

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	2026-07-05T09:38:41.415331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

800eb67155da1e9403b178059ea67e50d276ded2b796ff55a7c28a0304a1bdbd

Aliases

arxiv: 2411.14081 · arxiv_version: 2411.14081v1 · doi: 10.48550/arxiv.2411.14081 · pith_short_12: QAHLM4KV3IPJ · pith_short_16: QAHLM4KV3IPJIA5R · pith_short_8: QAHLM4KV

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/QAHLM4KV3IPJIA5RPACZ5JT6KD \
  | 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: 800eb67155da1e9403b178059ea67e50d276ded2b796ff55a7c28a0304a1bdbd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd816b41f42087e57e1e7c05f58a97d352d09390ad8bb3153eca5290d1921c31",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-11-21T12:47:15Z",
    "title_canon_sha256": "770bf798b5deb47b43ee44704da7fe7f7a1e553062ba9ef30d544c537cd8bded"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.14081",
    "kind": "arxiv",
    "version": 1
  }
}