Pith Number

pith:V72WWBAT

pith:2011:V72WWBAT2ELK7ESWTXBE4YCF3V

not attested not anchored not stored refs pending

One-loop calculations in quantum field theory: from Feynman diagrams to unitarity cuts

Giulia Zanderighi, Kirill Melnikov, R. Keith Ellis, Zoltan Kunszt

arxiv:1105.4319 v4 · 2011-05-22 · 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{V72WWBAT2ELK7ESWTXBE4YCF3V}

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	2026-05-18T02:01:53.027223Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aff56b0413d116af92569dc24e6045dd7f78999355b192b8a45e99edf2605a6a

Aliases

arxiv: 1105.4319 · arxiv_version: 1105.4319v4 · doi: 10.48550/arxiv.1105.4319 · pith_short_12: V72WWBAT2ELK · pith_short_16: V72WWBAT2ELK7ESW · pith_short_8: V72WWBAT

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/V72WWBAT2ELK7ESWTXBE4YCF3V \
  | 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: aff56b0413d116af92569dc24e6045dd7f78999355b192b8a45e99edf2605a6a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c0321f606e96360846d26b4b8a7ef816228fb5beabfdbe6c1ead2082bd491319",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2011-05-22T09:06:27Z",
    "title_canon_sha256": "bfc7045512d856fd095c4b6f9cc6340cf27618328038f96df6cf38a780f8de47"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.4319",
    "kind": "arxiv",
    "version": 4
  }
}