Pith Number

pith:5OLO2PZY

pith:1999:5OLO2PZYW7TWTQJ2BXUDSCCIZW

not attested not anchored not stored refs pending

Forests & Groves: Minimal Gauge Invariant Classes of Tree Diagrams in Gauge Theories

Edward Boos (Moscow State University), Thorsten Ohl (TU Darmstadt)

arxiv:hep-ph/9909487 v1 · 1999-09-23 · 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{5OLO2PZYW7TWTQJ2BXUDSCCIZW}

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	2026-07-04T14:31:05.976929Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb96ed3f38b7e769c13a0de8390848cda5c4adf4b896ad65c073109818e9534a

Aliases

arxiv: hep-ph/9909487 · arxiv_version: hep-ph/9909487v1 · doi: 10.48550/arxiv.hep-ph/9909487 · pith_short_12: 5OLO2PZYW7TW · pith_short_16: 5OLO2PZYW7TWTQJ2 · pith_short_8: 5OLO2PZY

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/5OLO2PZYW7TWTQJ2BXUDSCCIZW \
  | 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: eb96ed3f38b7e769c13a0de8390848cda5c4adf4b896ad65c073109818e9534a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "65dd006ca768c5e7d1b713b3b7ecfdb39ba10df0a8f27b353cf7a295a90f77ff",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "1999-09-23T13:27:53Z",
    "title_canon_sha256": "6f9556ba0dd9eb4652e38e2b9753c0a69e14d2e8da09f16b130fab1dd55e44ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/9909487",
    "kind": "arxiv",
    "version": 1
  }
}