Pith Number

pith:5MDP2PUO

pith:2012:5MDP2PUOFLRU2KAERNXYQ44UXJ

not attested not anchored not stored refs pending

The Equivalence of the Lagrangian-Averaged Navier-Stokes-{\alpha} Model and the Rational LES model in Two Dimensions

Balasubramanya T. Nadiga, Freddy Bouchet

arxiv:1210.1857 v1 · 2012-10-05 · physics.flu-dyn · math-ph · math.MP · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5MDP2PUOFLRU2KAERNXYQ44UXJ}

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	2026-05-18T03:43:51.720061Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb06fd3e8e2ae34d28048b6f887394ba49a2bed6395802f0b6881fc5a4af4738

Aliases

arxiv: 1210.1857 · arxiv_version: 1210.1857v1 · doi: 10.48550/arxiv.1210.1857 · pith_short_12: 5MDP2PUOFLRU · pith_short_16: 5MDP2PUOFLRU2KAE · pith_short_8: 5MDP2PUO

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/5MDP2PUOFLRU2KAERNXYQ44UXJ \
  | 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: eb06fd3e8e2ae34d28048b6f887394ba49a2bed6395802f0b6881fc5a4af4738

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "407281f9193f223648544e715caffd275d112bbf7af52939100927dae4dd3327",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2012-10-05T20:05:18Z",
    "title_canon_sha256": "d0e08528b05a6dd22f27e658910b7ab615340515ccd867f22225521b168092ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.1857",
    "kind": "arxiv",
    "version": 1
  }
}