Pith Number

pith:BPRIR7N4

pith:2025:BPRIR7N4V6RBPMLNBYTVQZ7PIT

not attested not anchored not stored refs pending

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

Chang Hu, Jiyuan Shen, Yifan Hu

arxiv:2501.11150 v1 · 2025-01-19 · hep-th · hep-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BPRIR7N4V6RBPMLNBYTVQZ7PIT}

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	2026-07-05T10:03:04.153670Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0be288fdbcafa217b16d0e275867ef44d726438013e160402b80c552df2f0874

Aliases

arxiv: 2501.11150 · arxiv_version: 2501.11150v1 · doi: 10.48550/arxiv.2501.11150 · pith_short_12: BPRIR7N4V6RB · pith_short_16: BPRIR7N4V6RBPMLN · pith_short_8: BPRIR7N4

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/BPRIR7N4V6RBPMLNBYTVQZ7PIT \
  | 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: 0be288fdbcafa217b16d0e275867ef44d726438013e160402b80c552df2f0874

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a5cf014150bff203954eadddca81d5198257056941939ee6649af870627d0e5",
    "cross_cats_sorted": [
      "hep-ph"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2025-01-19T19:23:56Z",
    "title_canon_sha256": "3ce8a715139d5da96edf1f1fab3759a81d2d6132754e400e9f795febbabdbd40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2501.11150",
    "kind": "arxiv",
    "version": 1
  }
}