Pith Number

pith:WX67LNE3

pith:2018:WX67LNE3RSUBPXMDT5JP5PAUVK

not attested not anchored not stored refs pending

Ergodicity of a Galerkin approximation of three-dimensional magnetohydrodynamics system forced by a degenerate noise

Kazuo Yamazaki

arxiv:1809.00721 v1 · 2018-09-03 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WX67LNE3RSUBPXMDT5JP5PAUVK}

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	2026-05-18T00:06:32.655177Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5fdf5b49b8ca817dd839f52febc14aaa6474ae8fec60f092e8a28bded1d60ef

Aliases

arxiv: 1809.00721 · arxiv_version: 1809.00721v1 · doi: 10.48550/arxiv.1809.00721 · pith_short_12: WX67LNE3RSUB · pith_short_16: WX67LNE3RSUBPXMD · pith_short_8: WX67LNE3

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/WX67LNE3RSUBPXMDT5JP5PAUVK \
  | 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: b5fdf5b49b8ca817dd839f52febc14aaa6474ae8fec60f092e8a28bded1d60ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2c2b514d7800dabd647b50741a590e189abf4d388211f7162703c870a56fba7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2018-09-03T21:19:24Z",
    "title_canon_sha256": "c140c4cb8810a54dbbdf39e8445550a912078f49c67776027e7075a53d4b5c8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.00721",
    "kind": "arxiv",
    "version": 1
  }
}