Pith Number

pith:TCRUMHNX

pith:2016:TCRUMHNXDFJFM2SEHWFIEY34WB

not attested not anchored not stored refs pending

Numbers and Functions in Quantum Field Theory

Oliver Schnetz

arxiv:1606.08598 v2 · 2016-06-28 · hep-th · math-ph · math.MP · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TCRUMHNXDFJFM2SEHWFIEY34WB}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

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

5 papers in Pith

Asymptotic Pad\'e Predictions up to Six Loops in QCD and Eight Loops in $\lambda\phi^4$

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Smooth Threshold Effects from Dimensional Regularization

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Four-loop Anomalous Dimensions of Scalar-QED Theory from Operator Product Expansion

Receipt and verification

First computed	2026-05-18T00:17:09.604191Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

98a3461db71952566a443d8a82637cb0616a6e54eccba6314eeb9760321391c8

Aliases

arxiv: 1606.08598 · arxiv_version: 1606.08598v2 · doi: 10.48550/arxiv.1606.08598 · pith_short_12: TCRUMHNXDFJF · pith_short_16: TCRUMHNXDFJFM2SE · pith_short_8: TCRUMHNX

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/TCRUMHNXDFJFM2SEHWFIEY34WB \
  | 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: 98a3461db71952566a443d8a82637cb0616a6e54eccba6314eeb9760321391c8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dead70f2cbf94584a159f53d0725d388d05375dc121d83a51534c9bf0c1bfd07",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-06-28T08:15:12Z",
    "title_canon_sha256": "10ec112f1c907f331ca75ddf3caef935d499f64a3fe93f07bb406b3bad3f5c56"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.08598",
    "kind": "arxiv",
    "version": 2
  }
}