Pith Number

pith:TXJYVF4O

pith:1995:TXJYVF4OBMAV5EPIAPRWV6V5WE

not attested not anchored not stored refs pending

Massive Loop Amplitudes from Unitarity

A.G. Morgan, Z. Bern

arxiv:hep-ph/9511336 v2 · 1995-11-16 · 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{TXJYVF4OBMAV5EPIAPRWV6V5WE}

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

Planar loop integrands from cuts in $D$ dimensions

Resumming Scattering Amplitudes for Waveforms

Receipt and verification

First computed	2026-07-04T15:18:21.135390Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9dd38a978e0b015e91e803e36afabdb12cda3ec17bbc95a8dfb58cd89381e316

Aliases

arxiv: hep-ph/9511336 · arxiv_version: hep-ph/9511336v2 · doi: 10.48550/arxiv.hep-ph/9511336 · pith_short_12: TXJYVF4OBMAV · pith_short_16: TXJYVF4OBMAV5EPI · pith_short_8: TXJYVF4O

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/TXJYVF4OBMAV5EPIAPRWV6V5WE \
  | 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: 9dd38a978e0b015e91e803e36afabdb12cda3ec17bbc95a8dfb58cd89381e316

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4c3a6ed1d768c908fcbd8d9bf0750f497c1a04e8bfeb865eeb83b8a73cfdbd6a",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1995-11-16T06:02:23Z",
    "title_canon_sha256": "7bde0de1d9f3a71dadcfd0e368520208f5130d4d4975ff3c7abe125ebd070107"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9511336",
    "kind": "arxiv",
    "version": 2
  }
}