Pith Number

pith:JA4ZEWAM

pith:2011:JA4ZEWAM75LCOFRZXZ4QUMY5IC

not attested not anchored not stored refs pending

Regularized theta liftings and periods of modular functions

Jan H. Bruinier, Jens Funke, Ozlem Imamoglu

arxiv:1112.3444 v1 · 2011-12-15 · 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{JA4ZEWAM75LCOFRZXZ4QUMY5IC}

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	2026-05-18T04:06:18.581500Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

483992580cff56271639be790a331d408173e7ea4fcee67e249c29216feced3a

Aliases

arxiv: 1112.3444 · arxiv_version: 1112.3444v1 · doi: 10.48550/arxiv.1112.3444 · pith_short_12: JA4ZEWAM75LC · pith_short_16: JA4ZEWAM75LCOFRZ · pith_short_8: JA4ZEWAM

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/JA4ZEWAM75LCOFRZXZ4QUMY5IC \
  | 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: 483992580cff56271639be790a331d408173e7ea4fcee67e249c29216feced3a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b41ea2069a5e714882c6e27ea38afa9a61dd4ac0c11a07fa59b947f0879074a5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-12-15T08:05:09Z",
    "title_canon_sha256": "776f238c5782d0ce650d5f166d9b4b20217e22ab4269451b69146eb5b441c164"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.3444",
    "kind": "arxiv",
    "version": 1
  }
}