Pith Number

pith:N4UF6CXU

pith:2006:N4UF6CXUZ4I66CEQG2TQDZIED3

not attested not anchored not stored refs pending

Gauge Theory, Ramification, And The Geometric Langlands Program

Edward Witten, Sergei Gukov

arxiv:hep-th/0612073 v2 · 2006-12-08 · 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{N4UF6CXUZ4I66CEQG2TQDZIED3}

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

14 papers in Pith

The state/defect correspondence

Holographic interpolations of codimension-2 defect CFTs

Non-relativistic limits of $\mathcal N=4$ supersymmetric Yang-Mills theory and S-duality

Defects, nested instantons and comet shaped quivers

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

Receipt and verification

First computed	2026-07-04T15:04:44.095755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f285f0af4cf11ef089036a701e5041ef5eacbe1474c12d34acb916ba2a46129

Aliases

arxiv: hep-th/0612073 · arxiv_version: hep-th/0612073v2 · doi: 10.48550/arxiv.hep-th/0612073 · pith_short_12: N4UF6CXUZ4I6 · pith_short_16: N4UF6CXUZ4I66CEQ · pith_short_8: N4UF6CXU

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/N4UF6CXUZ4I66CEQG2TQDZIED3 \
  | 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: 6f285f0af4cf11ef089036a701e5041ef5eacbe1474c12d34acb916ba2a46129

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "aa1c8cbce3bc2eca0f8197dac632440666b377d138e200066c38490bf922e8db",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "hep-th",
    "submitted_at": "2006-12-08T17:31:58Z",
    "title_canon_sha256": "00d3ae4bb36a9f64bc705e21a716b787a8fb5d1e8ee13e76d4a72f05f6c3f8eb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "hep-th/0612073",
    "kind": "arxiv",
    "version": 2
  }
}