Pith Number

pith:6RI7YAJB

pith:2000:6RI7YAJBUJIN7FT54G3QDDLJGC

not attested not anchored not stored refs pending

Exact solutions of Dyson-Schwinger equations for iterated one-loop integrals and propagator-coupling duality

D.J.Broadhurst, D.Kreimer

arxiv:hep-th/0012146 v1 · 2000-12-17 · hep-th · hep-ph · math.QA

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\usepackage{pith}
\pithnumber{6RI7YAJBUJIN7FT54G3QDDLJGC}

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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

The algebraic structure of Dyson--Schwinger equations with multiple insertion places

Receipt and verification

First computed	2026-07-04T16:21:08.860603Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f451fc0121a250df967de1b7018d6930a798085bf8bbddf86a11379bae732bb1

Aliases

arxiv: hep-th/0012146 · arxiv_version: hep-th/0012146v1 · doi: 10.48550/arxiv.hep-th/0012146 · pith_short_12: 6RI7YAJBUJIN · pith_short_16: 6RI7YAJBUJIN7FT5 · pith_short_8: 6RI7YAJB

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/6RI7YAJBUJIN7FT54G3QDDLJGC \
  | 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: f451fc0121a250df967de1b7018d6930a798085bf8bbddf86a11379bae732bb1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d9be564871b2809b4f0379627724204d9a62fc45cc270c43f76d29f57b6736e8",
    "cross_cats_sorted": [
      "hep-ph",
      "math.QA"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2000-12-17T16:20:00Z",
    "title_canon_sha256": "af2e861d7a47526a8849b5e7d6bf424043717e74922686848825c76c3f40c10a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0012146",
    "kind": "arxiv",
    "version": 1
  }
}