Pith Number

pith:2OG6G2EN

pith:1999:2OG6G2ENYY27EZNVPC3VHVLENO

not attested not anchored not stored refs pending

Modular Double of Quantum Group

Ludvig Faddeev

arxiv:math/9912078 v1 · 1999-12-10 · math.QA · 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{2OG6G2ENYY27EZNVPC3VHVLENO}

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

2 papers in Pith

Minimal Factorization of Chern-Simons Theory -- Gravitational Anyonic Edge Modes

The holonomy braiding for $\mathcal{U}_\xi(\mathfrak{sl}_2)$ in terms of geometric quantum dilogarithms

Receipt and verification

First computed	2026-07-04T15:27:33.185602Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d38de3688dc635f265b578b753d5646b99e36adb02548343cb375e1d2c20a128

Aliases

arxiv: math/9912078 · arxiv_version: math/9912078v1 · doi: 10.48550/arxiv.math/9912078 · pith_short_12: 2OG6G2ENYY27 · pith_short_16: 2OG6G2ENYY27EZNV · pith_short_8: 2OG6G2EN

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/2OG6G2ENYY27EZNVPC3VHVLENO \
  | 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: d38de3688dc635f265b578b753d5646b99e36adb02548343cb375e1d2c20a128

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0f2d6444e2e677e12b0a1aadabb32c8b8e24244f195d483788ba96d67528292",
    "cross_cats_sorted": [
      "hep-th"
    ],
    "license": "",
    "primary_cat": "math.QA",
    "submitted_at": "1999-12-10T07:39:58Z",
    "title_canon_sha256": "81cfdad2cd15c2e7715c4c613c19a63527a60f9008a17e59fcb51ceba092896d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9912078",
    "kind": "arxiv",
    "version": 1
  }
}