Pith Number

pith:UIRSVSYP

pith:2021:UIRSVSYPKZQMC3TG4ZQ3NFZH3T

not attested not anchored not stored refs pending

Defects, modular differential equations, and free field realization of N = 4 VOAs

Haocong Zheng, Yiwen Pan, Yufan Wang

arxiv:2104.12180 v1 · 2021-04-25 · 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{UIRSVSYPKZQMC3TG4ZQ3NFZH3T}

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

Modularity, 4d mirror symmetry, and VOA modules of 4d $\mathcal{N} = 2$ SCFTs with $a = c$

Receipt and verification

First computed	2026-07-05T04:15:42.308689Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2232acb0f5660c16e66e661b69727dcfd01a10e47fe49ebe18e01d6ab15639a

Aliases

arxiv: 2104.12180 · arxiv_version: 2104.12180v1 · doi: 10.48550/arxiv.2104.12180 · pith_short_12: UIRSVSYPKZQM · pith_short_16: UIRSVSYPKZQMC3TG · pith_short_8: UIRSVSYP

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/UIRSVSYPKZQMC3TG4ZQ3NFZH3T \
  | 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: a2232acb0f5660c16e66e661b69727dcfd01a10e47fe49ebe18e01d6ab15639a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8bd9496003fd2c10a8313d0a20f87c1ee10d136b727921ef6c0ec3ca4ed58197",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-th",
    "submitted_at": "2021-04-25T15:13:58Z",
    "title_canon_sha256": "38bd84591c7041908f4646946b1767f7b3b262b836f3a127235350503181329b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2104.12180",
    "kind": "arxiv",
    "version": 1
  }
}