Pith Number

pith:ZOWWPNYC

pith:2019:ZOWWPNYCJ2ZFYYX2RBMG2ZIIBL

not attested not anchored not stored refs pending

Crossed modular categories and the Verlinde formula for twisted conformal blocks

Swarnava Mukhopadhyay, Tanmay Deshpande

arxiv:1909.10799 v4 · 2019-09-24 · math.AG · 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{ZOWWPNYCJ2ZFYYX2RBMG2ZIIBL}

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

Monodromy defects in Chern-Simons theory and Holography

Receipt and verification

First computed	2026-07-05T04:12:33.259230Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cbad67b7024eb25c62fa88586d65080ac71008ec9ae6e87489e3ff9d2de32da5

Aliases

arxiv: 1909.10799 · arxiv_version: 1909.10799v4 · doi: 10.48550/arxiv.1909.10799 · pith_short_12: ZOWWPNYCJ2ZF · pith_short_16: ZOWWPNYCJ2ZFYYX2 · pith_short_8: ZOWWPNYC

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/ZOWWPNYCJ2ZFYYX2RBMG2ZIIBL \
  | 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: cbad67b7024eb25c62fa88586d65080ac71008ec9ae6e87489e3ff9d2de32da5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e81727869ca82e436bbf9a92486b1ad4b284017cb9981e1b7fe2dd0d05071f9",
    "cross_cats_sorted": [
      "math.QA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-09-24T10:31:00Z",
    "title_canon_sha256": "4744d657a69c7041d1d5c55efff6f4330421d6d268612d4a82faeec335a411e8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1909.10799",
    "kind": "arxiv",
    "version": 4
  }
}