Pith Number

pith:N5NNTYIQ

pith:2010:N5NNTYIQP5T2OEQ75ZOL4RVAOC

not attested not anchored not stored refs pending

A note on the Prandtl boundary layers

Toan Nguyen, Yan Guo

arxiv:1011.0130 v3 · 2010-10-31 · 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{N5NNTYIQP5T2OEQ75ZOL4RVAOC}

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	2026-05-18T04:26:55.524227Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f5ad9e1107f67a7121fee5cbe46a070ad24838f6dcbe57089981b81adf2b809

Aliases

arxiv: 1011.0130 · arxiv_version: 1011.0130v3 · doi: 10.48550/arxiv.1011.0130 · pith_short_12: N5NNTYIQP5T2 · pith_short_16: N5NNTYIQP5T2OEQ7 · pith_short_8: N5NNTYIQ

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/N5NNTYIQP5T2OEQ75ZOL4RVAOC \
  | 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: 6f5ad9e1107f67a7121fee5cbe46a070ad24838f6dcbe57089981b81adf2b809

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "667cff569efd754d7e09c2198d692f0b59f1fb76d41a2a4a4e4063faf7cb4479",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2010-10-31T05:59:20Z",
    "title_canon_sha256": "536635c6bab609b77987fc2b56c16ce888d81e00b8c51a537d9bdbb9a3e133b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1011.0130",
    "kind": "arxiv",
    "version": 3
  }
}