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Pith Number

pith:CLEPALP7

pith:2013:CLEPALP7FLE7LFGFFE4EIJ3UPX
not attested not anchored not stored refs pending

Two Point Pade Approximants and Duality

T.J. Torres, Tom Banks

arxiv:1307.3689 v2 · 2013-07-14 · hep-th · hep-ph · math-ph · math.MP

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{CLEPALP7FLE7LFGFFE4EIJ3UPX}

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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.

Cited by

1 paper in Pith

Receipt and verification
First computed 2026-05-18T03:15:57.196970Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

12c8f02dff2ac9f594c529384427747df3b44c9b76be926a3a287eddb62208b4

Aliases

arxiv: 1307.3689 · arxiv_version: 1307.3689v2 · doi: 10.48550/arxiv.1307.3689 · pith_short_12: CLEPALP7FLE7 · pith_short_16: CLEPALP7FLE7LFGF · pith_short_8: CLEPALP7
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/CLEPALP7FLE7LFGFFE4EIJ3UPX \
  | 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: 12c8f02dff2ac9f594c529384427747df3b44c9b76be926a3a287eddb62208b4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "0aed00d0ab56a83a44ff20641061b7dd6619832de99dfd15fc118351a23f2bd6",
    "cross_cats_sorted": [
      "hep-ph",
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-07-14T02:20:28Z",
    "title_canon_sha256": "cef86fc503bbe5be5505ba969420e08bbd5c9b2e0c14c1613322cdefce88d4fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.3689",
    "kind": "arxiv",
    "version": 2
  }
}