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Pith Number

pith:ZBHIWL3L

pith:2013:ZBHIWL3L2BBI3Q5ZJNFQP5FEN6
not attested not anchored not stored refs pending

Minimal velocity estimates and soft mode bounds for the massless spin-boson model

A. Kupiainen, W. De Roeck

arxiv:1301.2358 v2 · 2013-01-10 · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{ZBHIWL3L2BBI3Q5ZJNFQP5FEN6}

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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 2026-05-18T02:58:32.717754Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c84e8b2f6bd0428dc3b94b4b07f4a46fbb44d09ab7cd80c162b7b08b17077def

Aliases

arxiv: 1301.2358 · arxiv_version: 1301.2358v2 · doi: 10.48550/arxiv.1301.2358 · pith_short_12: ZBHIWL3L2BBI · pith_short_16: ZBHIWL3L2BBI3Q5Z · pith_short_8: ZBHIWL3L
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZBHIWL3L2BBI3Q5ZJNFQP5FEN6 \
  | 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: c84e8b2f6bd0428dc3b94b4b07f4a46fbb44d09ab7cd80c162b7b08b17077def
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "adcc82ec0be1358ed48368429619ae4a6a5c94063d123fa9f9033c3821090b4d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2013-01-10T23:42:47Z",
    "title_canon_sha256": "eae1f013169dd620ded82243eb1e67ea75f77ccbc46dbbbdcfbadedc0d50f87b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.2358",
    "kind": "arxiv",
    "version": 2
  }
}