Pith Number

pith:ZS7KYFN3

pith:2012:ZS7KYFN3FNNJDEGYRNH3ZQGX6K

not attested not anchored not stored refs pending

The Dimensional Recurrence and Analyticity Method for Multicomponent Master Integrals: Using Unitarity Cuts to Construct Homogeneous Solutions

Roman N. Lee, Vladimir A. Smirnov

arxiv:1209.0339 v1 · 2012-09-03 · hep-ph · 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{ZS7KYFN3FNNJDEGYRNH3ZQGX6K}

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 spectrum of Feynman-integral geometries at two loops

Receipt and verification

First computed	2026-05-18T01:54:48.061526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccbeac15bb2b5a9190d88b4fbcc0d7f28bd85c0fa577def1dd68518d3b543df7

Aliases

arxiv: 1209.0339 · arxiv_version: 1209.0339v1 · doi: 10.48550/arxiv.1209.0339 · pith_short_12: ZS7KYFN3FNNJ · pith_short_16: ZS7KYFN3FNNJDEGY · pith_short_8: ZS7KYFN3

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/ZS7KYFN3FNNJDEGYRNH3ZQGX6K \
  | 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: ccbeac15bb2b5a9190d88b4fbcc0d7f28bd85c0fa577def1dd68518d3b543df7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5273d4790f8685f6803c950c7c7cc78386db4cd4ac50c22f699cab2fd6c8004e",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-09-03T13:15:49Z",
    "title_canon_sha256": "aa92e80b41495e279575437624fd9ec56b55bd0a4f1bd7a4c36f99fdb1ff0f02"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0339",
    "kind": "arxiv",
    "version": 1
  }
}