Pith Number

pith:KZXDRTXM

pith:2020:KZXDRTXMHPOFENTVIIM4BSS2TW

not attested not anchored not stored refs pending

Causal representation of multi-loop Feynman integrands within the loop-tree duality

German F. R. Sborlini, German Rodrigo, J. Jesus Aguilera-Verdugo, Roger J. Hernandez-Pinto, William J. Torres Bobadilla

arxiv:2006.11217 v2 · 2020-06-19 · 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{KZXDRTXMHPOFENTVIIM4BSS2TW}

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

Perturbative construction of amplitudes from on-shell trees with vacuum pairs: the all-plus four-gluon amplitude through order $\boldsymbol{g}^{\boldsymbol{6}}$

Receipt and verification

First computed	2026-07-05T02:51:07.686992Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

566e38ceec3bdc5236754219c0ca5a9db345ab4af590b163155d311353d5081c

Aliases

arxiv: 2006.11217 · arxiv_version: 2006.11217v2 · doi: 10.48550/arxiv.2006.11217 · pith_short_12: KZXDRTXMHPOF · pith_short_16: KZXDRTXMHPOFENTV · pith_short_8: KZXDRTXM

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/KZXDRTXMHPOFENTVIIM4BSS2TW \
  | 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: 566e38ceec3bdc5236754219c0ca5a9db345ab4af590b163155d311353d5081c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f2cadf81637e74407954a16830d3741cecc34722db4db9e26174c58e79a372b",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2020-06-19T16:42:36Z",
    "title_canon_sha256": "518dcc7a85e1f53c9838f3f7f901971ba3a8f27bfb231a342a0d82887f0e9313"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2006.11217",
    "kind": "arxiv",
    "version": 2
  }
}