Pith Number

pith:3USBE6CT

pith:2012:3USBE6CTJG2GIJASLVPM7CYDLM

not attested not anchored not stored refs pending

A semi-ordinary $p$-stabilization of Siegel Eisenstein series for symplectic groups and its $p$-adic interpolation

Hisa-aki Kawamura

arxiv:1207.0198 v4 · 2012-07-01 · 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{3USBE6CTJG2GIJASLVPM7CYDLM}

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	2026-05-18T00:03:37.716130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd2412785349b46424125d5ecf8b035b2a6c280a75b1fb3b2016d4f71871980f

Aliases

arxiv: 1207.0198 · arxiv_version: 1207.0198v4 · doi: 10.48550/arxiv.1207.0198 · pith_short_12: 3USBE6CTJG2G · pith_short_16: 3USBE6CTJG2GIJAS · pith_short_8: 3USBE6CT

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/3USBE6CTJG2GIJASLVPM7CYDLM \
  | 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: dd2412785349b46424125d5ecf8b035b2a6c280a75b1fb3b2016d4f71871980f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "37d1429b8554b2349686de82529483f579fcd9027274693f46e0c7ae4d90fd23",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-07-01T10:52:17Z",
    "title_canon_sha256": "f278e36e294a2626f470ab24b87396bd26704e569aed72d8074cf479ceac988c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0198",
    "kind": "arxiv",
    "version": 4
  }
}