Pith Number

pith:WXKL2UMC

pith:2023:WXKL2UMCV35KKIYWNUFNGFVMMY

not attested not anchored not stored refs pending

A converse theorem for Borcherds products and the injectivity of the Kudla-Millson theta lift

Oliver Stein

arxiv:2306.17660 v2 · 2023-06-30 · 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{WXKL2UMCV35KKIYWNUFNGFVMMY}

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

The Picard group of the Baily--Borel compactification of the moduli space of quasi-polarized K3 surfaces and generalizations

Receipt and verification

First computed	2026-07-05T06:29:53.760263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b5d4bd5182aefaa523166d0ad316ac661b87900a8a3ec25437d3e5f729435195

Aliases

arxiv: 2306.17660 · arxiv_version: 2306.17660v2 · doi: 10.48550/arxiv.2306.17660 · pith_short_12: WXKL2UMCV35K · pith_short_16: WXKL2UMCV35KKIYW · pith_short_8: WXKL2UMC

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/WXKL2UMCV35KKIYWNUFNGFVMMY \
  | 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: b5d4bd5182aefaa523166d0ad316ac661b87900a8a3ec25437d3e5f729435195

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "35800158762660d706cd80c138f5567d5607d2cbc15e66d0b739843b0a732895",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2023-06-30T13:45:00Z",
    "title_canon_sha256": "884bb14ad1e0978b99c0cc68555b2b14f10386d06a5ffb82626b4c95b82ead62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2306.17660",
    "kind": "arxiv",
    "version": 2
  }
}