Pith Number

pith:NN6PCBVK

pith:2017:NN6PCBVKFDKMFXKJVSSEXISAPE

not attested not anchored not stored refs pending

Well-posedness in Gevrey function space for the three-dimensional Prandtl equations

Tong Yang, Wei-Xi Li

arxiv:1708.08217 v4 · 2017-08-28 · 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{NN6PCBVKFDKMFXKJVSSEXISAPE}

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	2026-05-17T23:41:47.147788Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b7cf106aa28d4c2dd49aca44ba2407930a63a9cb7f6bc67d4cc5a2cabc47309

Aliases

arxiv: 1708.08217 · arxiv_version: 1708.08217v4 · doi: 10.48550/arxiv.1708.08217 · pith_short_12: NN6PCBVKFDKM · pith_short_16: NN6PCBVKFDKMFXKJ · pith_short_8: NN6PCBVK

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/NN6PCBVKFDKMFXKJVSSEXISAPE \
  | 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: 6b7cf106aa28d4c2dd49aca44ba2407930a63a9cb7f6bc67d4cc5a2cabc47309

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73b6e6ccc2ab59aedc2d21c955258b938cdb429d6a6714534f6c65e77b5ea088",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2017-08-28T07:21:27Z",
    "title_canon_sha256": "c7237287ad568e894580c7ba71cbc8f3976230c88dc316c1a7cc70ac28cf10ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.08217",
    "kind": "arxiv",
    "version": 4
  }
}