Pith Number

pith:PPCOV3RN

pith:2000:PPCOV3RNL66W4KS4MO4LZZSR2S

not attested not anchored not stored refs pending

HELAC-PHEGAS: automatic computation of helicity amplitudes and cross sections

Aggeliki Kanaki, Costas G. Papadopoulos

arxiv:hep-ph/0012004 v1 · 2000-12-01 · 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{PPCOV3RNL66W4KS4MO4LZZSR2S}

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	2026-07-04T16:20:33.337415Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bc4eaee2d5fbd6e2a5c63b8bce651d493dc09edb609a14b58d5e7a73ed52147

Aliases

arxiv: hep-ph/0012004 · arxiv_version: hep-ph/0012004v1 · doi: 10.48550/arxiv.hep-ph/0012004 · pith_short_12: PPCOV3RNL66W · pith_short_16: PPCOV3RNL66W4KS4 · pith_short_8: PPCOV3RN

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/PPCOV3RNL66W4KS4MO4LZZSR2S \
  | 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: 7bc4eaee2d5fbd6e2a5c63b8bce651d493dc09edb609a14b58d5e7a73ed52147

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5601c503a2a971c5fff85f8a70cd63b155f8cd23c3b268fee3ac53b4fe102cfa",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2000-12-01T09:06:19Z",
    "title_canon_sha256": "3336976d35c9297784c6116436d9a5be3135e7b2bbba1f8853edbbd262070bcd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0012004",
    "kind": "arxiv",
    "version": 1
  }
}