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Pith Number

pith:NF3N6MRF

pith:2005:NF3N6MRFIQHOL3XPSG6NQEXNMN
not attested not anchored not stored refs pending

Multi-Instantons and Exact Results II: Specific Cases, Higher-Order Effects, and Numerical Calculations

Jean Zinn-Justin, Ulrich D. Jentschura

arxiv:quant-ph/0501137 v2 · 2005-01-24 · quant-ph

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{NF3N6MRFIQHOL3XPSG6NQEXNMN}

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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

3 papers in Pith

Receipt and verification
First computed 2026-05-18T03:13:46.703678Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

6976df3225440ee5eeef91bcd812ed6373fdcb666f32793306da8dd17c667ed4

Aliases

arxiv: quant-ph/0501137 · arxiv_version: quant-ph/0501137v2 · doi: 10.48550/arxiv.quant-ph/0501137 · pith_short_12: NF3N6MRFIQHO · pith_short_16: NF3N6MRFIQHOL3XP · pith_short_8: NF3N6MRF
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/NF3N6MRFIQHOL3XPSG6NQEXNMN \
  | 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: 6976df3225440ee5eeef91bcd812ed6373fdcb666f32793306da8dd17c667ed4
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "2427337c89115ae7d9187f3ad538156b63f35e84030a8bc3c91f93bc1d5fda51",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "quant-ph",
    "submitted_at": "2005-01-24T20:07:32Z",
    "title_canon_sha256": "73297ca7a20b7166c281fc800170ca630d8bcb8da524bb32427df25c758df907"
  },
  "schema_version": "1.0",
  "source": {
    "id": "quant-ph/0501137",
    "kind": "arxiv",
    "version": 2
  }
}