Pith Number

pith:KGJ4WUMT

pith:2005:KGJ4WUMTBXGUXBNRKUUOFIF67E

not attested not anchored not stored refs pending

Wilson-'t Hooft operators in four-dimensional gauge theories and S-duality

Anton Kapustin

arxiv:hep-th/0501015 v3 · 2005-01-04 · 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{KGJ4WUMTBXGUXBNRKUUOFIF67E}

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

8 papers in Pith

The state/defect correspondence

Holographic reconstruction for defect CFTs from $\mathrm{AdS}_p \times S^q$ spacetimes

What's Done Cannot Be Undone: TASI Lectures on Non-Invertible Symmetries

Defect Charges, Gapped Boundary Conditions, and the Symmetry TFT

Spectral Networks: Bridging higher-rank Teichm\"uller theory and BPS states

Receipt and verification

First computed	2026-07-04T16:55:56.940558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5193cb51930dcd4b85b15528e2a0bef9236eb0efa5cf47ce0194dfb003249cb2

Aliases

arxiv: hep-th/0501015 · arxiv_version: hep-th/0501015v3 · doi: 10.48550/arxiv.hep-th/0501015 · pith_short_12: KGJ4WUMTBXGU · pith_short_16: KGJ4WUMTBXGUXBNR · pith_short_8: KGJ4WUMT

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/KGJ4WUMTBXGUXBNRKUUOFIF67E \
  | 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: 5193cb51930dcd4b85b15528e2a0bef9236eb0efa5cf47ce0194dfb003249cb2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c516b0cb5ff5a3fceff2b5e117a4072211cc68eac84dfd31435aa303a4340bc6",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2005-01-04T01:10:44Z",
    "title_canon_sha256": "cf2a1ecc041c05723728741ffb51a58d27894959c4d594971dcfc78da3129875"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0501015",
    "kind": "arxiv",
    "version": 3
  }
}