Pith Number

pith:Z5SSSS2Y

pith:2003:Z5SSSS2YL4O6BUGYNIRHDDLBGB

not attested not anchored not stored refs pending

The massless two-loop two-point function

Isabella Bierenbaum, Stefan Weinzierl

arxiv:hep-ph/0308311 v3 · 2003-08-29 · 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{Z5SSSS2YL4O6BUGYNIRHDDLBGB}

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

Analytic structure of the high-energy gravitational amplitude: multi-H diagrams and classical 5PM logarithms

Receipt and verification

First computed	2026-07-04T16:40:52.140199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf65294b585f1de0d0d86a22718d6130741eacb1c1e7ce2da85b3a52905dbf31

Aliases

arxiv: hep-ph/0308311 · arxiv_version: hep-ph/0308311v3 · doi: 10.48550/arxiv.hep-ph/0308311 · pith_short_12: Z5SSSS2YL4O6 · pith_short_16: Z5SSSS2YL4O6BUGY · pith_short_8: Z5SSSS2Y

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/Z5SSSS2YL4O6BUGYNIRHDDLBGB \
  | 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: cf65294b585f1de0d0d86a22718d6130741eacb1c1e7ce2da85b3a52905dbf31

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "897217fda0743f827943d2550a255db1a4a22af6127b2112a7ff34ae2092c5ff",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-ph",
    "submitted_at": "2003-08-29T13:55:42Z",
    "title_canon_sha256": "d33c7adb342edfdfd173ed6d0d166507383bce209ea5915953534991e2f9e231"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-ph/0308311",
    "kind": "arxiv",
    "version": 3
  }
}