Pith Number

pith:WNXAUZLZ

pith:2011:WNXAUZLZW5GRICULHCRQHWGPAJ

not attested not anchored not stored refs pending

Robust inverse energy cascade and turbulence structure in three-dimensional layers of fluid

D. Byrne, H. Xia, M. Shats

arxiv:1109.2674 v1 · 2011-09-13 · 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{WNXAUZLZW5GRICULHCRQHWGPAJ}

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	2026-05-18T04:12:31.868388Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b36e0a6579b74d140a8b38a303d8cf02407e4b4d7eee781be8819aa62f399816

Aliases

arxiv: 1109.2674 · arxiv_version: 1109.2674v1 · doi: 10.48550/arxiv.1109.2674 · pith_short_12: WNXAUZLZW5GR · pith_short_16: WNXAUZLZW5GRICUL · pith_short_8: WNXAUZLZ

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/WNXAUZLZW5GRICULHCRQHWGPAJ \
  | 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: b36e0a6579b74d140a8b38a303d8cf02407e4b4d7eee781be8819aa62f399816

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1aa573a60d4fb97c8bcfd30f7ceb402ccb06a1b35e87ea95fc6264b4c09643bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2011-09-13T04:26:19Z",
    "title_canon_sha256": "2a768a56f0ffc29a5dc46abeaac3fa53d60339754dc2d285c021a848e1e97ce8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.2674",
    "kind": "arxiv",
    "version": 1
  }
}