Pith Number

pith:TI5K5J5K

pith:2013:TI5K5J5K5HYPSQBZITUYHB47FJ

not attested not anchored not stored refs pending

Layer methods for Navier-Stokes equations with additive noise

G.N. Milstein, M.V. Tretyakov

arxiv:1312.5887 v1 · 2013-12-20 · math.NA · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TI5K5J5K5HYPSQBZITUYHB47FJ}

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	2026-05-18T03:04:07.621992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a3aaea7aae9f0f9403944e983879f2a47021f84d941b84b434751b71a4b38e1

Aliases

arxiv: 1312.5887 · arxiv_version: 1312.5887v1 · doi: 10.48550/arxiv.1312.5887 · pith_short_12: TI5K5J5K5HYP · pith_short_16: TI5K5J5K5HYPSQBZ · pith_short_8: TI5K5J5K

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/TI5K5J5K5HYPSQBZITUYHB47FJ \
  | 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: 9a3aaea7aae9f0f9403944e983879f2a47021f84d941b84b434751b71a4b38e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be6ed9d5fabe2583ebbfe93bdaf3f358f5d479fd8013e35259d578b678a19574",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NA",
    "submitted_at": "2013-12-20T11:04:19Z",
    "title_canon_sha256": "583a9e7d27993bc428ab669d759dee58381320fb843e2af4b277563910b412ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.5887",
    "kind": "arxiv",
    "version": 1
  }
}