Pith Number

pith:IUK6QJSF

pith:2012:IUK6QJSFQ57RZ7SH6XYFP7KPGJ

not attested not anchored not stored refs pending

Quasi-modular forms attached to elliptic curves: Hecke operators

Hossein Movasati

arxiv:1205.2408 v1 · 2012-05-11 · math.AG · math-ph · math.MP · 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{IUK6QJSFQ57RZ7SH6XYFP7KPGJ}

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	2026-05-18T03:55:55.599815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4515e82645877f1cfe47f5f057fd4f32763090bcd5a73ca031d6d62e92225c24

Aliases

arxiv: 1205.2408 · arxiv_version: 1205.2408v1 · doi: 10.48550/arxiv.1205.2408 · pith_short_12: IUK6QJSFQ57R · pith_short_16: IUK6QJSFQ57RZ7SH · pith_short_8: IUK6QJSF

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/IUK6QJSFQ57RZ7SH6XYFP7KPGJ \
  | 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: 4515e82645877f1cfe47f5f057fd4f32763090bcd5a73ca031d6d62e92225c24

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f81f041928e93ebef048ea5f4432def2a35b39c17f99b169c69cf255e0d92af8",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-05-11T00:31:34Z",
    "title_canon_sha256": "a885fa7436a432ca9e959f264ae470da7d235c72b03440d50dea1781e909bb93"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.2408",
    "kind": "arxiv",
    "version": 1
  }
}