Pith Number

pith:FRP3CDSF

pith:2005:FRP3CDSF6XQSI36JAXTOR3DZVU

not attested not anchored not stored refs pending

From Toric Geometry to Quiver Gauge Theory: the Equivalence of a-maximization and Z-minimization

Agostino Butti, Alberto Zaffaroni

arxiv:hep-th/0512240 v1 · 2005-12-19 · 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{FRP3CDSF6XQSI36JAXTOR3DZVU}

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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

$S^3$ partition functions and Equivariant CY$_4 $/CY$_3$ correspondence from Quantum curves

Receipt and verification

First computed	2026-07-04T16:56:26.158727Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c5fb10e45f5e1246fc905e6e8ec79ad0de015879f0a0d73785ca76352626553

Aliases

arxiv: hep-th/0512240 · arxiv_version: hep-th/0512240v1 · doi: 10.48550/arxiv.hep-th/0512240 · pith_short_12: FRP3CDSF6XQS · pith_short_16: FRP3CDSF6XQSI36J · pith_short_8: FRP3CDSF

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/FRP3CDSF6XQSI36JAXTOR3DZVU \
  | 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: 2c5fb10e45f5e1246fc905e6e8ec79ad0de015879f0a0d73785ca76352626553

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "248ca64b5a0ac6d4ff3178a5f524468a1747720666c1444084bf8c437c8a3025",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-12-19T17:05:12Z",
    "title_canon_sha256": "edeacd1b9bcf49af3e2dbf7226fc9759b9a79cfd90183f6f3aa1fc830f997a10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0512240",
    "kind": "arxiv",
    "version": 1
  }
}