Pith Number

pith:6QAFG4ZW

pith:2022:6QAFG4ZWLQR4U3MDZLRX2GTCTC

not attested not anchored not stored refs pending

Cutkosky's Theorem for Massive One-Loop Feynman Integrals -- Part 1

Maximilian M\"uhlbauer

arxiv:2206.08402 v2 · 2022-06-16 · math-ph · hep-th · 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{6QAFG4ZWLQR4U3MDZLRX2GTCTC}

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	2026-07-05T05:23:09.797983Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4005373365c23ca6d83cae37d1a62988a6dcf473ef48d844fd8526dffcd2ed7

Aliases

arxiv: 2206.08402 · arxiv_version: 2206.08402v2 · doi: 10.48550/arxiv.2206.08402 · pith_short_12: 6QAFG4ZWLQR4 · pith_short_16: 6QAFG4ZWLQR4U3MD · pith_short_8: 6QAFG4ZW

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/6QAFG4ZWLQR4U3MDZLRX2GTCTC \
  | 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: f4005373365c23ca6d83cae37d1a62988a6dcf473ef48d844fd8526dffcd2ed7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b1ea096d7c0c1245e51e4119f7aa25114fe26d0618170f8cc5f39bfc6d406968",
    "cross_cats_sorted": [
      "hep-th",
      "math.MP"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2022-06-16T18:36:48Z",
    "title_canon_sha256": "224c5350cb375c095b4a8d147ace7456811fb3d4409283ac0f24207416d9812c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2206.08402",
    "kind": "arxiv",
    "version": 2
  }
}