Pith Number

pith:TKEY6P4G

pith:2023:TKEY6P4GHRA6YQ4EVQ5RXDUP6G

not attested not anchored not stored refs pending

Tensor Loop Reduction via the Baikov Representation and an Auxiliary Vector

Liang Zhang

arxiv:2309.00930 v5 · 2023-09-02 · 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{TKEY6P4GHRA6YQ4EVQ5RXDUP6G}

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

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function

Receipt and verification

First computed	2026-07-05T08:13:26.840622Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a898f3f863c41ec4384ac3b1b8e8ff1975fbab51f7df53e0df516f8a64f429d

Aliases

arxiv: 2309.00930 · arxiv_version: 2309.00930v5 · doi: 10.48550/arxiv.2309.00930 · pith_short_12: TKEY6P4GHRA6 · pith_short_16: TKEY6P4GHRA6YQ4E · pith_short_8: TKEY6P4G

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/TKEY6P4GHRA6YQ4EVQ5RXDUP6G \
  | 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: 9a898f3f863c41ec4384ac3b1b8e8ff1975fbab51f7df53e0df516f8a64f429d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e087e12b53bb0fd2901c754969bfeb2d418a69b7911910aeb56d53fa2959d11",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2023-09-02T12:46:49Z",
    "title_canon_sha256": "663c9927fe96a4893319da182fac7ad33757f186f28575ebd61466f740201c23"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2309.00930",
    "kind": "arxiv",
    "version": 5
  }
}