Pith Number

pith:YCS4TE7O

pith:2013:YCS4TE7OYGGN76R6343N5NY6BF

not attested not anchored not stored refs pending

S-Duality and Modular Transformation as a non-perturbative deformation of the ordinary pq-duality

A. Mironov, A. Morozov, D. Galakhov

arxiv:1311.7069 v1 · 2013-11-27 · 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{YCS4TE7OYGGN76R6343N5NY6BF}

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	2026-05-18T02:48:26.005192Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0a5c993eec18cdffa3edf36deb71e095885f8a24a0fb1d145a2c52c8b2d4f57

Aliases

arxiv: 1311.7069 · arxiv_version: 1311.7069v1 · doi: 10.48550/arxiv.1311.7069 · pith_short_12: YCS4TE7OYGGN · pith_short_16: YCS4TE7OYGGN76R6 · pith_short_8: YCS4TE7O

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/YCS4TE7OYGGN76R6343N5NY6BF \
  | 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: c0a5c993eec18cdffa3edf36deb71e095885f8a24a0fb1d145a2c52c8b2d4f57

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9932a780bcc7b21e5529607ddf723cda03a1f3ac09381095cd43274923eeffcd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2013-11-27T18:53:39Z",
    "title_canon_sha256": "1f939fad81808d03f0e6c3e7a83ebdd9d6deb771750a077bab1879e9f5629f40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.7069",
    "kind": "arxiv",
    "version": 1
  }
}