Pith Number

pith:NVDSIJRM

pith:2026:NVDSIJRMU3PPJE3QDS6LK5UGC2

not attested not anchored not stored refs pending

Physical completion of the Navier-Stokes equations

Samuel L. Braunstein

arxiv:2605.21357 v1 · 2026-05-20 · cond-mat.stat-mech · math-ph · math.MP · nlin.CD

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NVDSIJRMU3PPJE3QDS6LK5UGC2}

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	2026-05-21T02:05:30.883856Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6d4724262ca6def493701cbcb576861682c6c46dbc02e9a097dbc67dec0cf3ba

Aliases

arxiv: 2605.21357 · arxiv_version: 2605.21357v1 · doi: 10.48550/arxiv.2605.21357 · pith_short_12: NVDSIJRMU3PP · pith_short_16: NVDSIJRMU3PPJE3Q · pith_short_8: NVDSIJRM

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/NVDSIJRMU3PPJE3QDS6LK5UGC2 \
  | 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: 6d4724262ca6def493701cbcb576861682c6c46dbc02e9a097dbc67dec0cf3ba

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e17b5f9130a98cfc79fd4c962427a3e336d1a8d3484786bbbdaed863414b334a",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "nlin.CD"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.stat-mech",
    "submitted_at": "2026-05-20T16:22:25Z",
    "title_canon_sha256": "9a24bacde006846f2bca96599744a7001c64295d6f05f190f9ba63420650d4a7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21357",
    "kind": "arxiv",
    "version": 1
  }
}