Pith Number

pith:GMFRVNER

pith:2012:GMFRVNER23CENE4GOPHNSYI6XV

not attested not anchored not stored refs pending

Structure of Infrared Singularities of Gauge-Theory Amplitudes at Three and Four Loops

Gutenberg University Mainz), Leonardo Vernazza (PRISMA Cluster of Excellence, Matthias Neubert, Valentin Ahrens

arxiv:1208.4847 v1 · 2012-08-23 · 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{GMFRVNER23CENE4GOPHNSYI6XV}

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	2026-05-18T01:54:58.900642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

330b1ab491d6c446938673ced9611ebd5b00777be53d6d0ed14f6b76cdd45f23

Aliases

arxiv: 1208.4847 · arxiv_version: 1208.4847v1 · doi: 10.48550/arxiv.1208.4847 · pith_short_12: GMFRVNER23CE · pith_short_16: GMFRVNER23CENE4G · pith_short_8: GMFRVNER

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/GMFRVNER23CENE4GOPHNSYI6XV \
  | 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: 330b1ab491d6c446938673ced9611ebd5b00777be53d6d0ed14f6b76cdd45f23

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a248e28fc1206b73357240f4a26e51380333dc5f4003b3586df13b324eb2b2c",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-08-23T20:00:03Z",
    "title_canon_sha256": "e1f62d328e6ba19611ef3ad18b912e8a2c7facaaf874c03c234a096aea9dc34b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1208.4847",
    "kind": "arxiv",
    "version": 1
  }
}