Pith Number

pith:KLKXZCUL

pith:2019:KLKXZCULTRPSMSYASKKLYMHHVA

not attested not anchored not stored refs pending

Three-loop contributions to the $\rho$ parameter and iterated integrals of modular forms

Claude Duhr, Matteo Becchetti, Robin Marzucca, Samuel Abreu

arxiv:1912.02747 v1 · 2019-12-05 · 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{KLKXZCULTRPSMSYASKKLYMHHVA}

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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 spectrum of Feynman-integral geometries at two loops

Receipt and verification

First computed	2026-07-05T00:48:21.531625Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52d57c8a8b9c5f264b009294bc30e7a82a1f441854caa7417f4563657fc1f386

Aliases

arxiv: 1912.02747 · arxiv_version: 1912.02747v1 · doi: 10.48550/arxiv.1912.02747 · pith_short_12: KLKXZCULTRPS · pith_short_16: KLKXZCULTRPSMSYA · pith_short_8: KLKXZCUL

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/KLKXZCULTRPSMSYASKKLYMHHVA \
  | 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: 52d57c8a8b9c5f264b009294bc30e7a82a1f441854caa7417f4563657fc1f386

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56bd07de0332b9083d89380e3e58c0c8a5549aec1e4600094dd637477c43c3ca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2019-12-05T17:33:41Z",
    "title_canon_sha256": "2b408a86559a511ca4afe43e4dc73f899cc02a39f9deb5c067f9683bfd8ebae1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1912.02747",
    "kind": "arxiv",
    "version": 1
  }
}