Pith Number

pith:TQWHSHA3

pith:2025:TQWHSHA3NP6WWBOQ3VKKWJO72H

not attested not anchored not stored refs pending

Lighthill's mechanism and vorticity cascade in the logarithmic layer of wall turbulence

Gregory Eyink, Samvit Kumar, Simon Toedtli, Tamer A. Zaki

arxiv:2509.07746 v1 · 2025-09-09 · 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{TQWHSHA3NP6WWBOQ3VKKWJO72H}

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	2026-07-05T12:07:27.456412Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c2c791c1b6bfd6b05d0dd54ab25dfd1f61a2e9deebf84d118ed3146fa388c5f

Aliases

arxiv: 2509.07746 · arxiv_version: 2509.07746v1 · doi: 10.48550/arxiv.2509.07746 · pith_short_12: TQWHSHA3NP6W · pith_short_16: TQWHSHA3NP6WWBOQ · pith_short_8: TQWHSHA3

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/TQWHSHA3NP6WWBOQ3VKKWJO72H \
  | 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: 9c2c791c1b6bfd6b05d0dd54ab25dfd1f61a2e9deebf84d118ed3146fa388c5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e431921cca8addb56092cdfc2f58f46c8f59a93e5386e92c2b635fd216336803",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2025-09-09T13:47:19Z",
    "title_canon_sha256": "074a73f8f2ff3692d1c08dbf9ad66ce2bab27ba0aece63f737efe265db3f5d8e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.07746",
    "kind": "arxiv",
    "version": 1
  }
}