Pith Number

pith:VMMO4DN3

pith:2001:VMMO4DN3BYERTK2OFURQ5DDKAQ

not attested not anchored not stored refs pending

Duality of the Fermionic 2d Black Hole and N=2 Liouville Theory as Mirror Symmetry

Anton Kapustin, Kentaro Hori

arxiv:hep-th/0104202 v2 · 2001-04-24 · 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{VMMO4DN3BYERTK2OFURQ5DDKAQ}

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

Total instanton restriction via multiverse interference: Noncompact gauge theories and (-1)-form symmetries

Receipt and verification

First computed	2026-07-04T17:21:05.230946Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ab18ee0dbb0e0919ab4e2d230e8c6a042f8945fdbffe3bd3dac5f1474bf97a45

Aliases

arxiv: hep-th/0104202 · arxiv_version: hep-th/0104202v2 · doi: 10.48550/arxiv.hep-th/0104202 · pith_short_12: VMMO4DN3BYER · pith_short_16: VMMO4DN3BYERTK2O · pith_short_8: VMMO4DN3

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/VMMO4DN3BYERTK2OFURQ5DDKAQ \
  | 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: ab18ee0dbb0e0919ab4e2d230e8c6a042f8945fdbffe3bd3dac5f1474bf97a45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fef6db533ac659fddb59d5c0c0aa1da273eba712977f3d25c9429e0ab06a231f",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2001-04-24T04:36:43Z",
    "title_canon_sha256": "065828587b5da43011ce19187efe2ba4fe90df24d58482e99927e113f4496c0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0104202",
    "kind": "arxiv",
    "version": 2
  }
}