Pith Number

pith:P7DTK2FL

pith:2025:P7DTK2FLIZZHOVOBSF32COQ2LP

not attested not anchored not stored refs pending

Graphical functions with spin

Oliver Schnetz

arxiv:2504.05850 v2 · 2025-04-08 · hep-th · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P7DTK2FLIZZHOVOBSF32COQ2LP}

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

2 papers in Pith

Graphical Functions by Examples

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

Receipt and verification

First computed	2026-07-05T11:00:43.682341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7fc73568ab46727755c19177a13a1a5bc028db0d218fcf4787bc2d251e6c49df

Aliases

arxiv: 2504.05850 · arxiv_version: 2504.05850v2 · doi: 10.48550/arxiv.2504.05850 · pith_short_12: P7DTK2FLIZZH · pith_short_16: P7DTK2FLIZZHOVOB · pith_short_8: P7DTK2FL

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/P7DTK2FLIZZHOVOBSF32COQ2LP \
  | 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: 7fc73568ab46727755c19177a13a1a5bc028db0d218fcf4787bc2d251e6c49df

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "73e268b086f2ebcbc544030df751acbddf96d7215bd24744755f5c9b96a45d41",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-04-08T09:28:30Z",
    "title_canon_sha256": "de94e22f941963c6ec3d1f3584799198d9972d0998dac4ae8e16ce55d78d41b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2504.05850",
    "kind": "arxiv",
    "version": 2
  }
}