Pith Number

pith:5IXBDMW3

pith:2024:5IXBDMW3VFZCT2F2DE3L5RV7YW

not attested not anchored not stored refs pending

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

Junchen Liu, Yuming Qin

arxiv:2411.10052 v3 · 2024-11-15 · 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{5IXBDMW3VFZCT2F2DE3L5RV7YW}

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	2026-07-05T11:58:21.766231Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ea2e11b2dba97229e8ba1936bec6bfc5be904731fa35199e9d71e25ca1d8a883

Aliases

arxiv: 2411.10052 · arxiv_version: 2411.10052v3 · doi: 10.48550/arxiv.2411.10052 · pith_short_12: 5IXBDMW3VFZC · pith_short_16: 5IXBDMW3VFZCT2F2 · pith_short_8: 5IXBDMW3

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/5IXBDMW3VFZCT2F2DE3L5RV7YW \
  | 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: ea2e11b2dba97229e8ba1936bec6bfc5be904731fa35199e9d71e25ca1d8a883

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d4984cef2ea5d04cb3dc1343546c346ec6d16a00fc2117316ab48049fcee11f0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2024-11-15T09:09:16Z",
    "title_canon_sha256": "d97bf23f3e9a0b35ee5847087be8441bca23706f70e43dd9f7931b5abce65693"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2411.10052",
    "kind": "arxiv",
    "version": 3
  }
}