Pith Number

pith:B7LPMJC2

pith:2009:B7LPMJC26MDAVH4WRFLPEOKCXQ

not attested not anchored not stored refs pending

Loop and surface operators in N=2 gauge theory and Liouville modular geometry

Davide Gaiotto, Herman Verlinde, Luis F. Alday, Sergei Gukov, Yuji Tachikawa

arxiv:0909.0945 v3 · 2009-09-06 · hep-th

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Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B7LPMJC26MDAVH4WRFLPEOKCXQ}

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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

5 papers in Pith

Defects, nested instantons and comet shaped quivers

Spectral Networks: Bridging higher-rank Teichm\"uller theory and BPS states

From Weyl Anomaly to Defect Supersymmetric R\'enyi Entropy and Casimir Energy

Quantized Coulomb branch of 4d $\mathcal{N}=2$ $Sp(N)$ gauge theory and spherical DAHA of $(C_N^{\vee}, C_N)$-type

Violation of Universal Operator Growth Hypothesis in $\mathcal{W}_3$Conformal Field Theories

Receipt and verification

First computed	2026-07-04T17:22:38.527063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fd6f6245af3060a9f968956f23942bc10942ab014cb5bc14e55a41c29dc7411

Aliases

arxiv: 0909.0945 · arxiv_version: 0909.0945v3 · doi: 10.48550/arxiv.0909.0945 · pith_short_12: B7LPMJC26MDA · pith_short_16: B7LPMJC26MDAVH4W · pith_short_8: B7LPMJC2

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/B7LPMJC26MDAVH4WRFLPEOKCXQ \
  | 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: 0fd6f6245af3060a9f968956f23942bc10942ab014cb5bc14e55a41c29dc7411

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26bd767f2473e8408dbded5c6ea1be7f188ca041349cb5ae2e3ea13c2a963091",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2009-09-06T18:55:02Z",
    "title_canon_sha256": "0db477b7a89834d9951e5845755549cb66b5dae6b5738a3c24e6c5d4fe45bb22"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.0945",
    "kind": "arxiv",
    "version": 3
  }
}