Pith Number

pith:XR3UHBWL

pith:1999:XR3UHBWL3U2X5SRVLIJNUB7Q6Y

not attested not anchored not stored refs pending

Mirror Symmetry and Toric Geometry in Three-Dimensional Gauge Theories

David Tong, Nick Dorey

arxiv:hep-th/9911094 v3 · 1999-11-12 · 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{XR3UHBWL3U2X5SRVLIJNUB7Q6Y}

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

Perturbative Coulomb branches on $\mathbb{R}^3\times S^1$: the global D-term potential

Receipt and verification

First computed	2026-07-04T16:15:01.828520Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc774386cbdd357eca355a12da07f0f636d437d7f68ab2367d38eedcc098f483

Aliases

arxiv: hep-th/9911094 · arxiv_version: hep-th/9911094v3 · doi: 10.48550/arxiv.hep-th/9911094 · pith_short_12: XR3UHBWL3U2X · pith_short_16: XR3UHBWL3U2X5SRV · pith_short_8: XR3UHBWL

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/XR3UHBWL3U2X5SRVLIJNUB7Q6Y \
  | 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: bc774386cbdd357eca355a12da07f0f636d437d7f68ab2367d38eedcc098f483

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6ab44b08c1eeb3ad2f29baf6d6a5e6ae53c4653b638203496296f02734d75ce7",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "1999-11-12T16:30:23Z",
    "title_canon_sha256": "51949f8abe537574a5693f20491a3aab0386e4968bdcdfeeda97273fb96d6a6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/9911094",
    "kind": "arxiv",
    "version": 3
  }
}