Pith Number

pith:VBZWDOVU

pith:2013:VBZWDOVU65MWGLCQMHJISUSLZZ

not attested not anchored not stored refs pending

The Two-Loop Ladder Diagram and Representations of U(2,2)

Matvei Libine

arxiv:1309.5665 v3 · 2013-09-22 · math.RT · math-ph · math.CV · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VBZWDOVU65MWGLCQMHJISUSLZZ}

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	2026-05-18T01:00:46.510085Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a87361bab4f759632c5061d289524bce59031e7219a3d8750c4c402509351e9c

Aliases

arxiv: 1309.5665 · arxiv_version: 1309.5665v3 · doi: 10.48550/arxiv.1309.5665 · pith_short_12: VBZWDOVU65MW · pith_short_16: VBZWDOVU65MWGLCQ · pith_short_8: VBZWDOVU

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/VBZWDOVU65MWGLCQMHJISUSLZZ \
  | 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: a87361bab4f759632c5061d289524bce59031e7219a3d8750c4c402509351e9c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1f0fb4f22874ae7e9c4f21564df1cd805e6436ced37de303a5305b21c8c82e4b",
    "cross_cats_sorted": [
      "math-ph",
      "math.CV",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-09-22T23:23:24Z",
    "title_canon_sha256": "8d42a3979ee8059833d63a997c297253d9fd7bd694fcef4374aa52109d9772b3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.5665",
    "kind": "arxiv",
    "version": 3
  }
}