Pith Number

pith:BJWUCLQ5

pith:2016:BJWUCLQ5TM6DJINEQBGJCSXXSD

not attested not anchored not stored refs pending

Energy Dissipation in the Smagorinsky Model of Turbulence

William Layton

arxiv:1601.06635 v1 · 2016-01-25 · math.NA · 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{BJWUCLQ5TM6DJINEQBGJCSXXSD}

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	2026-05-18T01:22:04.040221Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a6d412e1d9b3c34a1a4804c914af790f801b6892d6823f3ad24bb417fcd2fa7

Aliases

arxiv: 1601.06635 · arxiv_version: 1601.06635v1 · doi: 10.48550/arxiv.1601.06635 · pith_short_12: BJWUCLQ5TM6D · pith_short_16: BJWUCLQ5TM6DJINE · pith_short_8: BJWUCLQ5

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/BJWUCLQ5TM6DJINEQBGJCSXXSD \
  | 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: 0a6d412e1d9b3c34a1a4804c914af790f801b6892d6823f3ad24bb417fcd2fa7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e5b0e91546a5ede8b4684322d0ca88eb10b258a633331cbc412b89b85ea90c8d",
    "cross_cats_sorted": [
      "physics.flu-dyn"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2016-01-25T15:17:37Z",
    "title_canon_sha256": "e4389fe7c5b8c87cad8258b25af17f49ebfdb58ad23f739b6347fb7687744ffe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06635",
    "kind": "arxiv",
    "version": 1
  }
}