Pith Number

pith:27LYVEZ2

pith:2025:27LYVEZ2NXQXIRUV26QMPVID7G

not attested not anchored not stored refs pending

Renormalising Feynman diagrams with multi-indices

Yingtong Hou, Yvain Bruned

arxiv:2501.08151 v3 · 2025-01-14 · math-ph · math.MP · math.PR · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{27LYVEZ2NXQXIRUV26QMPVID7G}

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.

Receipt and verification

First computed	2026-07-05T11:16:54.076689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7d78a933a6de1744695d7a0c7d503f99d2274a26d84b8ca3d7df6a9a0532f19

Aliases

arxiv: 2501.08151 · arxiv_version: 2501.08151v3 · doi: 10.48550/arxiv.2501.08151 · pith_short_12: 27LYVEZ2NXQX · pith_short_16: 27LYVEZ2NXQXIRUV · pith_short_8: 27LYVEZ2

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/27LYVEZ2NXQXIRUV26QMPVID7G \
  | 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: d7d78a933a6de1744695d7a0c7d503f99d2274a26d84b8ca3d7df6a9a0532f19

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8c928c6ef1c74b9590cf288ee568a6305341a0ef55eb26d29eb3f47deeff94b9",
    "cross_cats_sorted": [
      "math.MP",
      "math.PR",
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2025-01-14T14:26:17Z",
    "title_canon_sha256": "eb97c99227cbeb2141501cab00ab988315c908c546f2a60bbc86a53cab418224"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.08151",
    "kind": "arxiv",
    "version": 3
  }
}