Pith Number

pith:BQISLT4G

pith:2026:BQISLT4GU3GRGJNEVLWQOPFSWX

not attested not anchored not stored refs pending

Vortex formation around islands in random waves

Alex J. Vernon, Junyi Ye, Konstantin Y. Bliokh, Lei Shi, Wenzhe Liu

arxiv:2607.15938 v1 · 2026-07-17 · physics.flu-dyn · physics.ao-ph · physics.class-ph · physics.optics

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BQISLT4GU3GRGJNEVLWQOPFSWX}

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	2026-07-20T01:19:18.576166Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c1125cf86a6cd1325a4aaed073cb2b5ee092dedff2b4d02e0b392bd4d4650a1

Aliases

arxiv: 2607.15938 · arxiv_version: 2607.15938v1 · doi: 10.48550/arxiv.2607.15938 · pith_short_12: BQISLT4GU3GR · pith_short_16: BQISLT4GU3GRGJNE · pith_short_8: BQISLT4G

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/BQISLT4GU3GRGJNEVLWQOPFSWX \
  | 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: 0c1125cf86a6cd1325a4aaed073cb2b5ee092dedff2b4d02e0b392bd4d4650a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c5e34895dc207bde7de3e7dc73dbd99eb0aae75cf12a9fd917f4115001e636b4",
    "cross_cats_sorted": [
      "physics.ao-ph",
      "physics.class-ph",
      "physics.optics"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "physics.flu-dyn",
    "submitted_at": "2026-07-17T13:21:18Z",
    "title_canon_sha256": "1239520df84eed6bff4d7e10398bf217e25f57b489077fecfae18c59e2b587c8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.15938",
    "kind": "arxiv",
    "version": 1
  }
}