Pith Number

pith:I22Z2P5M

pith:2011:I22Z2P5M4NVR6QCJD4BUO5BI6F

not attested not anchored not stored refs pending

Energy cascades and flux locality in physical scales of the 3D Navier-Stokes equations

R. Dascaliuc, Z. Grujic

arxiv:1101.2193 v2 · 2011-01-11 · math.AP · math-ph · math.MP · physics.flu-dyn

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I22Z2P5M4NVR6QCJD4BUO5BI6F}

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	2026-05-18T02:03:42.897420Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46b59d3face36b1f40491f03477428f1670f37acf0933522e515559ac4a81bed

Aliases

arxiv: 1101.2193 · arxiv_version: 1101.2193v2 · doi: 10.48550/arxiv.1101.2193 · pith_short_12: I22Z2P5M4NVR · pith_short_16: I22Z2P5M4NVR6QCJ · pith_short_8: I22Z2P5M

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/I22Z2P5M4NVR6QCJD4BUO5BI6F \
  | 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: 46b59d3face36b1f40491f03477428f1670f37acf0933522e515559ac4a81bed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65386a3ba3d387d2db1ebc64e8dcc3a65e565fe394bfd7dcbbe85c6b21d27d7c",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2011-01-11T20:16:03Z",
    "title_canon_sha256": "14d04147adb6ddae4126cc0a18f78e1782d16879eda6185f777eb5166a2db0c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.2193",
    "kind": "arxiv",
    "version": 2
  }
}