Pith Number

pith:C4N56ZTD

pith:2012:C4N56ZTDTPQYAEUTQBKMWIBL25

not attested not anchored not stored refs pending

The nontrivial zeros of period polynomials of modular forms lie on the unit circle

David Farmer, J. Brian Conrey, Ozlem Imamoglu

arxiv:1201.2322 v3 · 2012-01-11 · 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{C4N56ZTDTPQYAEUTQBKMWIBL25}

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	2026-05-18T04:03:31.785370Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

171bdf66639be18012938054cb202bd77d3e6d47b86222ee966edc6cacfb88dd

Aliases

arxiv: 1201.2322 · arxiv_version: 1201.2322v3 · doi: 10.48550/arxiv.1201.2322 · pith_short_12: C4N56ZTDTPQY · pith_short_16: C4N56ZTDTPQYAEUT · pith_short_8: C4N56ZTD

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/C4N56ZTDTPQYAEUTQBKMWIBL25 \
  | 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: 171bdf66639be18012938054cb202bd77d3e6d47b86222ee966edc6cacfb88dd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cfc9c357befe60752a68e6eea4a7ae8830d3c4c53f934cdfe47646e6d1ba8562",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-01-11T15:07:45Z",
    "title_canon_sha256": "dd18194c0fbee47f3d7b1d83db7322a817814756226fa3780367703bb7ef1a4b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2322",
    "kind": "arxiv",
    "version": 3
  }
}