Pith Number

pith:QKUMAOKU

pith:2016:QKUMAOKUI2VJAZ4XS4Y52XED4N

not attested not anchored not stored refs pending

S-duality of boundary conditions and the Geometric Langlands program

Davide Gaiotto

arxiv:1609.09030 v2 · 2016-09-28 · hep-th · math-ph · math.MP · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QKUMAOKUI2VJAZ4XS4Y52XED4N}

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.

Receipt and verification

First computed	2026-05-18T00:59:57.088326Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

82a8c0395446aa9067979731dd5c83e37b7e55bd14a23917ea98447fd9bcad0d

Aliases

arxiv: 1609.09030 · arxiv_version: 1609.09030v2 · doi: 10.48550/arxiv.1609.09030 · pith_short_12: QKUMAOKUI2VJ · pith_short_16: QKUMAOKUI2VJAZ4X · pith_short_8: QKUMAOKU

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/QKUMAOKUI2VJAZ4XS4Y52XED4N \
  | 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: 82a8c0395446aa9067979731dd5c83e37b7e55bd14a23917ea98447fd9bcad0d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ccde41a35003df2bcc0894f58edbaa144ff5ab1eceb1d43872f09d150a76a647",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2016-09-28T18:31:32Z",
    "title_canon_sha256": "66901dd5c1dde5edd7561eddf1576189a30396ffcd53595b560b23677bad261b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.09030",
    "kind": "arxiv",
    "version": 2
  }
}