Pith Number

pith:ZOE4VEZO

pith:2011:ZOE4VEZORWJB7JD3PV6F2NUPMT

not attested not anchored not stored refs pending

Orbifold Vortex and Super Liouville Theory

Jian Zhao

arxiv:1111.7095 v3 · 2011-11-30 · hep-th · math-ph · 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{ZOE4VEZORWJB7JD3PV6F2NUPMT}

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	2026-05-18T03:59:13.579393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cb89ca932e8d921fa47b7d7c5d368f64e6e167127516e2b85152f378c0373639

Aliases

arxiv: 1111.7095 · arxiv_version: 1111.7095v3 · doi: 10.48550/arxiv.1111.7095 · pith_short_12: ZOE4VEZORWJB · pith_short_16: ZOE4VEZORWJB7JD3 · pith_short_8: ZOE4VEZO

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/ZOE4VEZORWJB7JD3PV6F2NUPMT \
  | 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: cb89ca932e8d921fa47b7d7c5d368f64e6e167127516e2b85152f378c0373639

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a0518e6fe1d950c7f8debfa43ea620697156816b19f7550448ab23b27e5e5ff",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2011-11-30T09:34:43Z",
    "title_canon_sha256": "c6b0050033df057202a0daa7cb124fd0b0b42d44e81ef6eee8d8ded641417331"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.7095",
    "kind": "arxiv",
    "version": 3
  }
}