Pith Number

pith:TFZU6MH4

pith:2015:TFZU6MH4S4POSXQOEW2RVCT4NR

not attested not anchored not stored refs pending

Geometric Langlands Twists of N = 4 Gauge Theory from Derived Algebraic Geometry

Chris Elliott, Philsang Yoo

arxiv:1507.03048 v4 · 2015-07-11 · math-ph · math.AG · 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{TFZU6MH4S4POSXQOEW2RVCT4NR}

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	2026-07-05T03:26:35.438320Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99734f30fc971ee95e0e25b51a8a7c6c78b9c866967d1d5eee436959ac94d27b

Aliases

arxiv: 1507.03048 · arxiv_version: 1507.03048v4 · doi: 10.48550/arxiv.1507.03048 · pith_short_12: TFZU6MH4S4PO · pith_short_16: TFZU6MH4S4POSXQO · pith_short_8: TFZU6MH4

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/TFZU6MH4S4POSXQOEW2RVCT4NR \
  | 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: 99734f30fc971ee95e0e25b51a8a7c6c78b9c866967d1d5eee436959ac94d27b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b64131fbdeb16c3d92f36ba3e5d17eac807257d4daddcea5b7a3004d9197e9a1",
    "cross_cats_sorted": [
      "math.AG",
      "math.MP",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2015-07-11T00:12:26Z",
    "title_canon_sha256": "3536249c77b0ca0a75196174ff3480efd57bbd76fbe0fffebe1b538108c46e10"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.03048",
    "kind": "arxiv",
    "version": 4
  }
}