Pith Number

pith:JOJHOWBF

pith:2011:JOJHOWBFEZWVA52XLSK3GJR4O7

not attested not anchored not stored refs pending

Time-reversibility of Navier-Stokes turbulence and its implication for subgrid scale models

Jean-Pierre Bertoglio (LMFA), Le Fang (LMFA), Liang Shao (LMFA), Wouter Bos (LMFA)

arxiv:1112.0659 v1 · 2011-12-03 · 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{JOJHOWBFEZWVA52XLSK3GJR4O7}

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	2026-05-18T01:59:17.469160Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4b92775825266d5077575c95b3263c77e39d26e6d68a768b6179d273ff2c1652

Aliases

arxiv: 1112.0659 · arxiv_version: 1112.0659v1 · doi: 10.48550/arxiv.1112.0659 · pith_short_12: JOJHOWBFEZWV · pith_short_16: JOJHOWBFEZWVA52X · pith_short_8: JOJHOWBF

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/JOJHOWBFEZWVA52XLSK3GJR4O7 \
  | 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: 4b92775825266d5077575c95b3263c77e39d26e6d68a768b6179d273ff2c1652

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a7aac51091cf87f0a325a46bab63de80330b0e1822a52639ea3fa010b43c3474",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2011-12-03T14:55:18Z",
    "title_canon_sha256": "e957a59fa5bf2693e7a5cf27e59288d089aadb9dea9e1aa58edd8ff71afe8b5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.0659",
    "kind": "arxiv",
    "version": 1
  }
}