Pith Number

pith:JPIGYAGB

pith:2018:JPIGYAGBY6LS57RU7BUT5BSZMH

not attested not anchored not stored refs pending

On the p-Adic Navier-Stokes Equation

Anatoly N. Kochubei, Andrei Yu. Khrennikov

arxiv:1808.03538 v1 · 2018-08-09 · 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{JPIGYAGBY6LS57RU7BUT5BSZMH}

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	2026-05-18T00:03:36.598613Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bd06c00c1c7972efe34f8693e865961ced6f64eb2a60879480010b84dc1bc0e

Aliases

arxiv: 1808.03538 · arxiv_version: 1808.03538v1 · doi: 10.48550/arxiv.1808.03538 · pith_short_12: JPIGYAGBY6LS · pith_short_16: JPIGYAGBY6LS57RU · pith_short_8: JPIGYAGB

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/JPIGYAGBY6LS57RU7BUT5BSZMH \
  | 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: 4bd06c00c1c7972efe34f8693e865961ced6f64eb2a60879480010b84dc1bc0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9ddc5ca92fc3807db9cdba1163af2af741caa416506b60d745e30d7ff367fc1",
    "cross_cats_sorted": [
      "math.AP",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2018-08-09T07:35:32Z",
    "title_canon_sha256": "ae811ea1fc1624f1e4c21a5facc3c232105baa4dc7447d2bff8083dd6fae0c69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.03538",
    "kind": "arxiv",
    "version": 1
  }
}