Pith Number

pith:MGWERZGT

pith:2012:MGWERZGTGWRWWJLIXNJBJPUHHC

not attested not anchored not stored refs pending

Massless two-loop self-energy diagram: Historical review

A. G. Grozin

arxiv:1206.2572 v3 · 2012-06-12 · 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{MGWERZGTGWRWWJLIXNJBJPUHHC}

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

$\phi^6$ at $6$ (and some $8$) loops in $3d$

Receipt and verification

First computed	2026-05-18T03:43:42.068496Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

61ac48e4d335a36b2568bb5214be8738843c6e9411b10b2ae5fda89b0c955304

Aliases

arxiv: 1206.2572 · arxiv_version: 1206.2572v3 · doi: 10.48550/arxiv.1206.2572 · pith_short_12: MGWERZGTGWRW · pith_short_16: MGWERZGTGWRWWJLI · pith_short_8: MGWERZGT

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/MGWERZGTGWRWWJLIXNJBJPUHHC \
  | 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: 61ac48e4d335a36b2568bb5214be8738843c6e9411b10b2ae5fda89b0c955304

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "41afe9f9cea07ad3af3c27705fe74b3d1a5d0ea715f8df84844242efb6154b53",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2012-06-12T15:54:57Z",
    "title_canon_sha256": "e96bfe33d15bc29d93d29f340c49aa178ffe3fb17d5ab50b51a4f1c3405585d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.2572",
    "kind": "arxiv",
    "version": 3
  }
}