Pith Number

pith:4PJRTLDG

pith:2001:4PJRTLDGKGB4OO7YRVGCDJPNLO

not attested not anchored not stored refs pending

Two-Loop Master Integrals for $\gamma^* \to 3$ Jets: The non-planar topologies

E. Remiddi, T.Gehrmann

arxiv:hep-ph/0101124 v2 · 2001-01-12 · 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{4PJRTLDGKGB4OO7YRVGCDJPNLO}

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	2026-05-18T04:12:02.704781Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3d319ac665183c73bf88d4c21a5ed5b9b15ee09b330e20d769f4d393ef60219

Aliases

arxiv: hep-ph/0101124 · arxiv_version: hep-ph/0101124v2 · doi: 10.48550/arxiv.hep-ph/0101124 · pith_short_12: 4PJRTLDGKGB4 · pith_short_16: 4PJRTLDGKGB4OO7Y · pith_short_8: 4PJRTLDG

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/4PJRTLDGKGB4OO7YRVGCDJPNLO \
  | 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: e3d319ac665183c73bf88d4c21a5ed5b9b15ee09b330e20d769f4d393ef60219

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3053fe294d23faeb9b866c1d26579a260bb477c1aa2a2866654d4cbf392eaedf",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2001-01-12T11:27:08Z",
    "title_canon_sha256": "36fe303e44fbbf65f7f5502d11d9511c69e572915b4e1b046e2df98c279392b7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0101124",
    "kind": "arxiv",
    "version": 2
  }
}