Pith Number

pith:OTSCBKXN

pith:2025:OTSCBKXNQ3RPPQQB7OKSLRN4WQ

not attested not anchored not stored refs pending

Modular Heights of Unitary Shimura Varieties I: Derivatives of Eisenstein Series

Ziqi Guo

arxiv:2509.24363 v3 · 2025-09-29 · 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{OTSCBKXNQ3RPPQQB7OKSLRN4WQ}

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

Explicit Kodaira-Spencer maps over PEL Shimura varieties

Receipt and verification

First computed	2026-06-19T16:11:13.663545Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

74e420aaed86e2f7c201fb9525c5bcb40e1226768d141654e9a142fdbc543040

Aliases

arxiv: 2509.24363 · arxiv_version: 2509.24363v3 · doi: 10.48550/arxiv.2509.24363 · pith_short_12: OTSCBKXNQ3RP · pith_short_16: OTSCBKXNQ3RPPQQB · pith_short_8: OTSCBKXN

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/OTSCBKXNQ3RPPQQB7OKSLRN4WQ \
  | 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: 74e420aaed86e2f7c201fb9525c5bcb40e1226768d141654e9a142fdbc543040

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d0eda147d40cc6271c5e4ec0ee15c0e445719f7d4a1a3bf61998d228a0373b83",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2025-09-29T07:02:33Z",
    "title_canon_sha256": "4254bf4707bd28b5ca402de64fb5ebc3a3f9020269649d946680875e85bd5da2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.24363",
    "kind": "arxiv",
    "version": 3
  }
}