Pith Number

pith:SFJBQETE

pith:2021:SFJBQETEA74QVXECAM5QLIBPLK

not attested not anchored not stored refs pending

Gauge Theory and the Analytic Form of the Geometric Langlands Program

Davide Gaiotto, Edward Witten

arxiv:2107.01732 v4 · 2021-07-04 · 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{SFJBQETEA74QVXECAM5QLIBPLK}

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

$Q$-operators, $q$-opers, and R-matrices in 5d $\mathcal{N}=1$ gauge theory

Receipt and verification

First computed	2026-07-05T04:50:10.749225Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

915218126407f90adc82033b05a02f5aadb34e412d19a3f8242b11de22dfa19c

Aliases

arxiv: 2107.01732 · arxiv_version: 2107.01732v4 · doi: 10.48550/arxiv.2107.01732 · pith_short_12: SFJBQETEA74Q · pith_short_16: SFJBQETEA74QVXEC · pith_short_8: SFJBQETE

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/SFJBQETEA74QVXECAM5QLIBPLK \
  | 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: 915218126407f90adc82033b05a02f5aadb34e412d19a3f8242b11de22dfa19c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71a2708f553aca6501537242c75456ab7a9daa7152fbca8f9393a6b187d75977",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-07-04T21:04:25Z",
    "title_canon_sha256": "8ce9dd0fd2a153c30a1c8a089246a46b5ace4fd7a284e1d472fd4bfcb4b4dfa5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2107.01732",
    "kind": "arxiv",
    "version": 4
  }
}