Pith Number

pith:ANQWHW6R

pith:2007:ANQWHW6RX2NG63VM4M4XODMZVO

not attested not anchored not stored refs pending

The algebra of Wilson-'t Hooft operators

Anton Kapustin, Natalia Saulina

arxiv:0710.2097 v1 · 2007-10-10 · hep-th · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ANQWHW6RX2NG63VM4M4XODMZVO}

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

Schur Connections: Chord Counting, Line Operators, and Indices

Receipt and verification

First computed	2026-07-04T15:39:55.645654Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

036163dbd1be9a6f6eace339770d99abaea7a397bf9019c05d45836e5b408ae9

Aliases

arxiv: 0710.2097 · arxiv_version: 0710.2097v1 · doi: 10.48550/arxiv.0710.2097 · pith_short_12: ANQWHW6RX2NG · pith_short_16: ANQWHW6RX2NG63VM · pith_short_8: ANQWHW6R

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/ANQWHW6RX2NG63VM4M4XODMZVO \
  | 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: 036163dbd1be9a6f6eace339770d99abaea7a397bf9019c05d45836e5b408ae9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d31d03f68902481f6139d0abbcea6c293a5055b98d34eeb7224133dd9a406cb",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2007-10-10T19:08:18Z",
    "title_canon_sha256": "1d448192c5be0b5103b5d18d83462a66910db88bc29762a5a235614c468ce94f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.2097",
    "kind": "arxiv",
    "version": 1
  }
}