Pith Number

pith:7C32ZUWA

pith:2017:7C32ZUWAZ7W4D6HWTVYCZFSNHE

not attested not anchored not stored refs pending

Cristal and Azurite: new tools for integration-by-parts reductions

Alessandro Georgoudis, Kasper J. Larsen, Yang Zhang

arxiv:1712.07510 v1 · 2017-12-20 · 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{7C32ZUWAZ7W4D6HWTVYCZFSNHE}

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	2026-05-18T00:04:13.400344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f8b7acd2c0cfedc1f8f69d702c964d393879ddfc60b358962431842bcea26d0e

Aliases

arxiv: 1712.07510 · arxiv_version: 1712.07510v1 · doi: 10.48550/arxiv.1712.07510 · pith_short_12: 7C32ZUWAZ7W4 · pith_short_16: 7C32ZUWAZ7W4D6HW · pith_short_8: 7C32ZUWA

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/7C32ZUWAZ7W4D6HWTVYCZFSNHE \
  | 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: f8b7acd2c0cfedc1f8f69d702c964d393879ddfc60b358962431842bcea26d0e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "58693c5289dca949297ba026122e1b195d080f5954d703fa943ebe1e58788b1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2017-12-20T15:00:22Z",
    "title_canon_sha256": "87161c6d77613425a8023ea15ed33c93201d932b89210d448246a3e4d7d21cc5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.07510",
    "kind": "arxiv",
    "version": 1
  }
}