Pith Number

pith:3GL42JKN

pith:2015:3GL42JKNJRMR4U7FDMUVCZQW25

not attested not anchored not stored refs pending

Modular categories, crossed S-matrices and Shintani descent

Tanmay Deshpande

arxiv:1506.03243 v1 · 2015-06-10 · math.QA · 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{3GL42JKNJRMR4U7FDMUVCZQW25}

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

1 paper in Pith

On Hecke and asymptotic categories for a family of complex reflection groups

Receipt and verification

First computed	2026-05-18T01:55:31.167566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d997cd254d4c591e53e51b29516616d754ff41a33ae6a36b431d77ba38e50acf

Aliases

arxiv: 1506.03243 · arxiv_version: 1506.03243v1 · doi: 10.48550/arxiv.1506.03243 · pith_short_12: 3GL42JKNJRMR · pith_short_16: 3GL42JKNJRMR4U7F · pith_short_8: 3GL42JKN

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/3GL42JKNJRMR4U7FDMUVCZQW25 \
  | 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: d997cd254d4c591e53e51b29516616d754ff41a33ae6a36b431d77ba38e50acf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fef1b34d0b98b40bb6c40506318c97be2242ee074bfcb5d76616a4996a9dce20",
    "cross_cats_sorted": [
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2015-06-10T10:08:01Z",
    "title_canon_sha256": "bdc10d6f42ee274dc556bfec69e87653eed0fc6b2b7386ee3e45ce2b63b24200"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.03243",
    "kind": "arxiv",
    "version": 1
  }
}