Pith Number

pith:GOVGRDEL

pith:2010:GOVGRDELW2DHMMADQHVZK5JH7G

not attested not anchored not stored refs pending

Order-dependent mappings: strong coupling behaviour from weak coupling expansions in non-Hermitian theories

J. Zinn-Justin, U. D. Jentschura

arxiv:1006.4748 v1 · 2010-06-24 · math-ph · hep-ph · math.MP

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\usepackage{pith}
\pithnumber{GOVGRDELW2DHMMADQHVZK5JH7G}

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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

Higher-order perturbative coefficients in QCD from series acceleration by conformal mappings

Receipt and verification

First computed	2026-05-18T02:33:16.108760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

33aa688c8bb68676300381eb957527f98a4eb82779fe096fe1e5c336ede40ee9

Aliases

arxiv: 1006.4748 · arxiv_version: 1006.4748v1 · doi: 10.48550/arxiv.1006.4748 · pith_short_12: GOVGRDELW2DH · pith_short_16: GOVGRDELW2DHMMAD · pith_short_8: GOVGRDEL

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/GOVGRDELW2DHMMADQHVZK5JH7G \
  | 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: 33aa688c8bb68676300381eb957527f98a4eb82779fe096fe1e5c336ede40ee9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e424cbd36f37de17e07dd1dd907ffe84908624db70468aff03d1ccd66cec0e16",
    "cross_cats_sorted": [
      "hep-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2010-06-24T11:08:37Z",
    "title_canon_sha256": "b4d7f73a2d0015cc677f34f4c7b1208ac9be01ee096a894fb3b78e3338b88997"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1006.4748",
    "kind": "arxiv",
    "version": 1
  }
}