Pith Number

pith:TMXLK65L

pith:2018:TMXLK65L4QZCMQCEWVQRMIOQPO

not attested not anchored not stored refs pending

A Hamiltonian Mean-Field System for the Navier-Stokes Equation

Simon Hochgerner

arxiv:1807.04123 v2 · 2018-07-11 · math-ph · 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{TMXLK65L4QZCMQCEWVQRMIOQPO}

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	2026-05-18T00:04:07.519193Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9b2eb57babe432264044b5611621d07b976adc0826645a9efb9ed6ac80ddc53d

Aliases

arxiv: 1807.04123 · arxiv_version: 1807.04123v2 · doi: 10.48550/arxiv.1807.04123 · pith_short_12: TMXLK65L4QZC · pith_short_16: TMXLK65L4QZCMQCE · pith_short_8: TMXLK65L

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/TMXLK65L4QZCMQCEWVQRMIOQPO \
  | 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: 9b2eb57babe432264044b5611621d07b976adc0826645a9efb9ed6ac80ddc53d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "daa10c1ea155b8ed298c80a832a74859bfa3dd272d0ec52eba2b6a8a3f354b6b",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-07-11T13:40:01Z",
    "title_canon_sha256": "d8ea832a645a380853894a4e284cffb499d1540c7c9e1559e1b7e0290a5d894b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1807.04123",
    "kind": "arxiv",
    "version": 2
  }
}