Pith Number

pith:EGKNSZL3

pith:1998:EGKNSZL3F5V5PJWVFVMS4LR7SZ

not attested not anchored not stored refs pending

Master Equations for Master Amplitudes

E. Remiddi, H. Czyz, M. Caffo, S. Laporta

arxiv:hep-th/9807119 v2 · 1998-07-17 · 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{EGKNSZL3F5V5PJWVFVMS4LR7SZ}

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

1 paper in Pith

The Polarized Three-Loop Anomalous Dimensions from On-Shell Massive Operator Matrix Elements

Receipt and verification

First computed	2026-07-04T14:33:13.981602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2194d9657b2f6bd7a6d52d592e2e3f965fc2efacdf45292ec62524063a8899a8

Aliases

arxiv: hep-th/9807119 · arxiv_version: hep-th/9807119v2 · doi: 10.48550/arxiv.hep-th/9807119 · pith_short_12: EGKNSZL3F5V5 · pith_short_16: EGKNSZL3F5V5PJWV · pith_short_8: EGKNSZL3

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/EGKNSZL3F5V5PJWVFVMS4LR7SZ \
  | 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: 2194d9657b2f6bd7a6d52d592e2e3f965fc2efacdf45292ec62524063a8899a8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5570249d597a184055c8039d9af94d075b2d5785aba7ec784ada2f0a65ef4d8",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1998-07-17T10:48:06Z",
    "title_canon_sha256": "8f16e63639324fb148381a2610e8d85e6878890cc56121bcc329adfd9d3dafd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9807119",
    "kind": "arxiv",
    "version": 2
  }
}