Pith Number

pith:PRVGJONB

pith:2019:PRVGJONBJ63X6W4MBAVRW2UYR7

not attested not anchored not stored refs pending

Causality and loop-tree duality at higher loops

Juan Pablo Vesga, Robert Runkel, Stefan Weinzierl, Zolt\'an Sz\H{o}r

arxiv:1902.02135 v3 · 2019-02-06 · hep-ph · hep-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PRVGJONBJ63X6W4MBAVRW2UYR7}

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

1 paper in Pith

General finite two-loop amplitude integrand for photoproduction in quark annihilation

Receipt and verification

First computed	2026-07-04T23:51:58.738401Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c6a64b9a14fb77f5b8c082b1b6a988fdcdb703ea1daf23df4e85addc507cc5f

Aliases

arxiv: 1902.02135 · arxiv_version: 1902.02135v3 · doi: 10.48550/arxiv.1902.02135 · pith_short_12: PRVGJONBJ63X · pith_short_16: PRVGJONBJ63X6W4M · pith_short_8: PRVGJONB

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/PRVGJONBJ63X6W4MBAVRW2UYR7 \
  | 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: 7c6a64b9a14fb77f5b8c082b1b6a988fdcdb703ea1daf23df4e85addc507cc5f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "608e34668d6c60b86aae8bc709d89cb58e55d598971348b201719a603506e305",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2019-02-06T12:22:09Z",
    "title_canon_sha256": "59fb9497f7ccda1d0c438d2d45353e67b525fde70742210a7ac47ed643734872"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1902.02135",
    "kind": "arxiv",
    "version": 3
  }
}