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Pith Number

pith:643F5PS5

pith:2013:643F5PS5VMYTXXZ36UF4TUVTVW
not attested not anchored not stored refs pending

The Kramers problem for Holway-Shakhov equation

A. V. Latyshev

arxiv:1310.4813 v1 · 2013-10-17 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{643F5PS5VMYTXXZ36UF4TUVTVW}

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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 2026-05-18T03:10:12.611634Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

f7365ebe5dab313bdf3bf50bc9d2b3adb9c8eb62f131f74a564a85ac98cb9d91

Aliases

arxiv: 1310.4813 · arxiv_version: 1310.4813v1 · doi: 10.48550/arxiv.1310.4813 · pith_short_12: 643F5PS5VMYT · pith_short_16: 643F5PS5VMYTXXZ3 · pith_short_8: 643F5PS5
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/643F5PS5VMYTXXZ36UF4TUVTVW \
  | 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: f7365ebe5dab313bdf3bf50bc9d2b3adb9c8eb62f131f74a564a85ac98cb9d91
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "15a9d62a49e028315c83c6c1764c34e61cac843bfd4236a9b74aea50e218f939",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-10-17T19:29:21Z",
    "title_canon_sha256": "c95aa869da0a2678c66bbf644fa6f29746bc335409c8db5b26fd0f16bb4ec55d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1310.4813",
    "kind": "arxiv",
    "version": 1
  }
}