Pith Number

pith:GGHFWFDB

pith:2026:GGHFWFDBWCREK4UTFXEMJLBKF3

not attested not anchored not stored refs pending

Exponential mixing and enhanced dissipation on the unit sphere with Rossby-Haurwitz flows

Augusto Del Zotto, Marc Nualart

arxiv:2606.11055 v1 · 2026-06-09 · math.AP · math.DS · 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{GGHFWFDBWCREK4UTFXEMJLBKF3}

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	2026-06-10T01:11:07.215070Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

318e5b1461b0a24572932dc8c4ac2a2ef8d6b9285dfb24d90afe07a4cb060bba

Aliases

arxiv: 2606.11055 · arxiv_version: 2606.11055v1 · doi: 10.48550/arxiv.2606.11055 · pith_short_12: GGHFWFDBWCRE · pith_short_16: GGHFWFDBWCREK4UT · pith_short_8: GGHFWFDB

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/GGHFWFDBWCREK4UTFXEMJLBKF3 \
  | 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: 318e5b1461b0a24572932dc8c4ac2a2ef8d6b9285dfb24d90afe07a4cb060bba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "62948c1863f0c3f78cc02ef686936962b8c8781adfd51d8bb0552cb0010f6f9d",
    "cross_cats_sorted": [
      "math.DS",
      "physics.flu-dyn"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-06-09T16:19:03Z",
    "title_canon_sha256": "d7d747c6e7d0e980d1526f0c7483fe1cad4549856bf724ef82da91ecab8f9d2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.11055",
    "kind": "arxiv",
    "version": 1
  }
}