Pith Number

pith:JIYT3QUW

pith:2012:JIYT3QUWWJFJ7TEVFYEOJ2HOSD

not attested not anchored not stored refs pending

Algebraic twists of modular forms and Hecke orbits

Emmanuel Kowalski, \'Etienne Fouvry, Philippe Michel

arxiv:1207.0617 v5 · 2012-07-03 · 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{JIYT3QUWWJFJ7TEVFYEOJ2HOSD}

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	2026-05-18T02:35:52.718924Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4a313dc296b24a9fcc952e08e4e8ee90d878cbe57fe0f00bf9688a0913ba6b74

Aliases

arxiv: 1207.0617 · arxiv_version: 1207.0617v5 · doi: 10.48550/arxiv.1207.0617 · pith_short_12: JIYT3QUWWJFJ · pith_short_16: JIYT3QUWWJFJ7TEV · pith_short_8: JIYT3QUW

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/JIYT3QUWWJFJ7TEVFYEOJ2HOSD \
  | 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: 4a313dc296b24a9fcc952e08e4e8ee90d878cbe57fe0f00bf9688a0913ba6b74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1525509816d2392a62413f27ce9d4ad9dcb384a2efd5eba5bc1f0690df676ade",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-07-03T09:27:16Z",
    "title_canon_sha256": "5f7132c743a05ad69e33bd0d758177064c41b81c1e7e6c7565e9cfcb21226653"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.0617",
    "kind": "arxiv",
    "version": 5
  }
}