Pith Number

pith:6TAHX2OA

pith:1999:6TAHX2OAEJ2KMXAQIXTFD5OO36

not attested not anchored not stored refs pending

Factorization of tree QCD amplitudes in the high-energy limit and in the collinear limit

Alberto Frizzo, Fabio Maltoni, Vittorio Del Duca

arxiv:hep-ph/9909464 v2 · 1999-09-21 · 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{6TAHX2OAEJ2KMXAQIXTFD5OO36}

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

3 papers in Pith

$N$-body modelling of the ED-2 stream progenitor shows Gaia BH3's formation involved dynamical interactions

Amplitudes in self-dual (higher-spin) theories

Color Decompositions of the Two Loop Amplitudes of Yang-Mills theory

Receipt and verification

First computed	2026-07-04T15:20:54.613119Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4c07be9c02274a65c1045e651f5cedf9125bf9ab53599efcb77eefa560f0f97

Aliases

arxiv: hep-ph/9909464 · arxiv_version: hep-ph/9909464v2 · doi: 10.48550/arxiv.hep-ph/9909464 · pith_short_12: 6TAHX2OAEJ2K · pith_short_16: 6TAHX2OAEJ2KMXAQ · pith_short_8: 6TAHX2OA

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/6TAHX2OAEJ2KMXAQIXTFD5OO36 \
  | 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: f4c07be9c02274a65c1045e651f5cedf9125bf9ab53599efcb77eefa560f0f97

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "81abe6ac928fd47abb1877989dc0f6f60750ab2502c81579c0e55a24ecc85e8f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-09-21T23:22:59Z",
    "title_canon_sha256": "6e0b8d679231d170691b257f9da72265482fd3952cfa4e28a213d2ebad5f8883"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9909464",
    "kind": "arxiv",
    "version": 2
  }
}