Pith Number

pith:J4E3LY7Z

pith:2015:J4E3LY7ZWJFN7YSWI32YTQPUJT

not attested not anchored not stored refs pending

Derived Equivalences of K3 Surfaces and Twined Elliptic Genera

John F. R. Duncan, Sander Mack-Crane

arxiv:1506.06198 v2 · 2015-06-20 · math.RT · hep-th · math.AG · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{J4E3LY7ZWJFN7YSWI32YTQPUJT}

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

Vertex algebras, topological defects, and Moonshine

Receipt and verification

First computed	2026-05-18T01:23:38.182791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4f09b5e3f9b24adfe25646f589c1f44ce77f9bc7d5f645cd844d6728925bfa81

Aliases

arxiv: 1506.06198 · arxiv_version: 1506.06198v2 · doi: 10.48550/arxiv.1506.06198 · pith_short_12: J4E3LY7ZWJFN · pith_short_16: J4E3LY7ZWJFN7YSW · pith_short_8: J4E3LY7Z

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/J4E3LY7ZWJFN7YSWI32YTQPUJT \
  | 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: 4f09b5e3f9b24adfe25646f589c1f44ce77f9bc7d5f645cd844d6728925bfa81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ae2017bcadad41cdd65e2a49a0d038e14d47325305026f7e56ce3eb167fdb22e",
    "cross_cats_sorted": [
      "hep-th",
      "math.AG",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2015-06-20T03:36:50Z",
    "title_canon_sha256": "a237b46e7fd702bb22bce9a1861066eeae7e2c1f27882356b9086edf8cabe967"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.06198",
    "kind": "arxiv",
    "version": 2
  }
}