Pith Number

pith:QUEZRC4W

pith:2012:QUEZRC4WPY2NFAGTXHLPHWQJTN

not attested not anchored not stored refs pending

A mathematical clue to the separation phenomena on the two-dimensional Navier-Stokes equation

Tsuyoshi Yoneda

arxiv:1206.5059 v1 · 2012-06-22 · 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{QUEZRC4WPY2NFAGTXHLPHWQJTN}

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	2026-05-18T03:52:52.477527Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8509988b967e34d280d3b9d6f3da099b4cc1d450e017262d9221d7d40eebb28b

Aliases

arxiv: 1206.5059 · arxiv_version: 1206.5059v1 · doi: 10.48550/arxiv.1206.5059 · pith_short_12: QUEZRC4WPY2N · pith_short_16: QUEZRC4WPY2NFAGT · pith_short_8: QUEZRC4W

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/QUEZRC4WPY2NFAGTXHLPHWQJTN \
  | 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: 8509988b967e34d280d3b9d6f3da099b4cc1d450e017262d9221d7d40eebb28b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e640c40c576483bb093cd50a3420521313a0ea2ffe9b0eb604b3ed7e8640f8a9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2012-06-22T05:38:18Z",
    "title_canon_sha256": "9a751d903607a867056bf504c7b34ffa61a36c88a8dcb64e4c1a81df87b07ea8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.5059",
    "kind": "arxiv",
    "version": 1
  }
}