Pith Number

pith:ZU7YET2Q

pith:2026:ZU7YET2QMQ6QPV4K4CSBVAUQBR

not attested not anchored not stored refs pending

A unified duality framework for barotropic, quantum and Korteweg fluids

Dmitry Vorotnikov

arxiv:2602.18917 v3 · 2026-02-21 · math.AP · math-ph · math.FA · math.MP · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZU7YET2QMQ6QPV4K4CSBVAUQBR}

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	2026-06-23T03:13:54.633220Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cd3f824f50643d07d78ae0a41a82900c57b63fff1ac2e81a69321d077191c7ee

Aliases

arxiv: 2602.18917 · arxiv_version: 2602.18917v3 · doi: 10.48550/arxiv.2602.18917 · pith_short_12: ZU7YET2QMQ6Q · pith_short_16: ZU7YET2QMQ6QPV4K · pith_short_8: ZU7YET2Q

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/ZU7YET2QMQ6QPV4K4CSBVAUQBR \
  | 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: cd3f824f50643d07d78ae0a41a82900c57b63fff1ac2e81a69321d077191c7ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ced2acf1d15d0c535880588c67961df15d02a134e8dfff072c8192694920eb5c",
    "cross_cats_sorted": [
      "math-ph",
      "math.FA",
      "math.MP",
      "math.OC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2026-02-21T17:50:57Z",
    "title_canon_sha256": "0f27e34c2a249276aece7d522a813bce58c87adabdf9643963ce769610ec074b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2602.18917",
    "kind": "arxiv",
    "version": 3
  }
}