Pith Number

pith:SX2YYBNT

pith:2023:SX2YYBNTWNAWXN34V6EGV3DJOY

not attested not anchored not stored refs pending

Gibbs Equilibrium Fluctuations of Point Vortex Dynamics

Eliseo Luongo, Francesco Grotto, Marco Romito

arxiv:2308.00163 v1 · 2023-07-31 · math.PR · math-ph · math.AP · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SX2YYBNTWNAWXN34V6EGV3DJOY}

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	2026-07-01T01:17:37.299154Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

95f58c05b3b3416bb77caf886aec697620d125b8eca242ee0fbe391042e68d15

Aliases

arxiv: 2308.00163 · arxiv_version: 2308.00163v1 · doi: 10.48550/arxiv.2308.00163 · pith_short_12: SX2YYBNTWNAW · pith_short_16: SX2YYBNTWNAWXN34 · pith_short_8: SX2YYBNT

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/SX2YYBNTWNAWXN34V6EGV3DJOY \
  | 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: 95f58c05b3b3416bb77caf886aec697620d125b8eca242ee0fbe391042e68d15

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6aeb2fc230b114d3cc3824cf8803fe25f1b16163b20b0897f47bfb161d9ab783",
    "cross_cats_sorted": [
      "math-ph",
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2023-07-31T21:40:31Z",
    "title_canon_sha256": "7a1372edcc4d9e9813b872e3f2f290b2edcd744e5d89ab3894df39854ff63cbc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2308.00163",
    "kind": "arxiv",
    "version": 1
  }
}