Pith Number

pith:DZXAJKX5

pith:2024:DZXAJKX5H6WYZH3ZRJ77F3QEJP

not attested not anchored not stored refs pending

Recursion for Differential Cross-Section from the Optical Theorem

Hojin Lee, Kanghoon Lee, Vatsal Garg

arxiv:2412.05575 v1 · 2024-12-07 · 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{DZXAJKX5H6WYZH3ZRJ77F3QEJP}

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

2 papers in Pith

Systematic approach to $\ell$-loop planar integrands from the classical equation of motion

The bi-adjoint scalar $\ell$-loop planar integrand recursion and graded inverse variables

Receipt and verification

First computed	2026-07-05T09:48:38.044342Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e6e04aafd3fad8c9f798a7ff2ee044bc30e034b361bd0022c38694af57ab188

Aliases

arxiv: 2412.05575 · arxiv_version: 2412.05575v1 · doi: 10.48550/arxiv.2412.05575 · pith_short_12: DZXAJKX5H6WY · pith_short_16: DZXAJKX5H6WYZH3Z · pith_short_8: DZXAJKX5

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/DZXAJKX5H6WYZH3ZRJ77F3QEJP \
  | 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: 1e6e04aafd3fad8c9f798a7ff2ee044bc30e034b361bd0022c38694af57ab188

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9475e0d4e41f8ad57806984208e9b27934a42f1744701d460a1faf56cb33a188",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2024-12-07T07:50:56Z",
    "title_canon_sha256": "32767dcfd5777365fa6e8fb87c5fda89c517e3dbd78fecd93b7ba284a5050837"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.05575",
    "kind": "arxiv",
    "version": 1
  }
}