Pith Number

pith:UTI2BKFN

pith:2011:UTI2BKFNBH47RXECHNCP2HPRKS

not attested not anchored not stored refs pending

Growth and nonvanishing of restricted Siegel modular forms arising as Saito-Kurokawa lifts

Matthew P. Young, Sheng-chi Liu

arxiv:1108.0723 v1 · 2011-08-03 · 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{UTI2BKFNBH47RXECHNCP2HPRKS}

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.

Receipt and verification

First computed	2026-05-18T02:51:25.669974Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a4d1a0a8ad09f9f8dc823b44fd1df15494ac58754840ff38ea4c764e3efd3627

Aliases

arxiv: 1108.0723 · arxiv_version: 1108.0723v1 · doi: 10.48550/arxiv.1108.0723 · pith_short_12: UTI2BKFNBH47 · pith_short_16: UTI2BKFNBH47RXEC · pith_short_8: UTI2BKFN

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/UTI2BKFNBH47RXECHNCP2HPRKS \
  | 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: a4d1a0a8ad09f9f8dc823b44fd1df15494ac58754840ff38ea4c764e3efd3627

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "458c3c3250ef1c7ffc59c5e962799ed29634eb51a963cd0665addfbdb039ae7a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-08-03T01:16:14Z",
    "title_canon_sha256": "a3985ecaddfbf90da2a102121c7d66444186846a85e9f8ef214ebd81952ebbe1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.0723",
    "kind": "arxiv",
    "version": 1
  }
}