Pith Number

pith:XZ5PDTEN

pith:2018:XZ5PDTENQIVQCEFVV33364F6LV

not attested not anchored not stored refs pending

A Universal Fractional Model of Wall-Turbulence

Fangying Song, George Em Karniadakis

arxiv:1808.10276 v1 · 2018-08-26 · 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{XZ5PDTENQIVQCEFVV33364F6LV}

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	2026-05-18T00:06:49.267123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

be7af1cc8d822b0110b5aef7bf70be5d5e5dbc9dc5446b8c8dd28757c33c464c

Aliases

arxiv: 1808.10276 · arxiv_version: 1808.10276v1 · doi: 10.48550/arxiv.1808.10276 · pith_short_12: XZ5PDTENQIVQ · pith_short_16: XZ5PDTENQIVQCEFV · pith_short_8: XZ5PDTEN

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/XZ5PDTENQIVQCEFVV33364F6LV \
  | 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: be7af1cc8d822b0110b5aef7bf70be5d5e5dbc9dc5446b8c8dd28757c33c464c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87d34d6756dfbab57736cab1087cdecc7e9f390fa2d090484d3480018a7520a3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2018-08-26T02:08:34Z",
    "title_canon_sha256": "0f4c1c440d2e1e9c49f9bd4dffc50ff9e65c3103088188ead6de2f57cd0e25fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.10276",
    "kind": "arxiv",
    "version": 1
  }
}