Pith Number

pith:FQS4RGSQ

pith:2016:FQS4RGSQQFW7N3VZHFJ3YM4ZRK

not attested not anchored not stored refs pending

Zeta-polynomials for modular form periods

Florian Sprung, Ken Ono, Larry Rolen

arxiv:1602.00752 v3 · 2016-02-02 · 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{FQS4RGSQQFW7N3VZHFJ3YM4ZRK}

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	2026-05-18T01:03:19.830452Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c25c89a50816df6eeb93953bc33998a95c18f85ff5481950cdd779c0c816239

Aliases

arxiv: 1602.00752 · arxiv_version: 1602.00752v3 · doi: 10.48550/arxiv.1602.00752 · pith_short_12: FQS4RGSQQFW7 · pith_short_16: FQS4RGSQQFW7N3VZ · pith_short_8: FQS4RGSQ

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/FQS4RGSQQFW7N3VZHFJ3YM4ZRK \
  | 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: 2c25c89a50816df6eeb93953bc33998a95c18f85ff5481950cdd779c0c816239

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "904497c213538258556ad23fe7b1d76ecb68a9004669cf9778286a752fa1de28",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-02-02T00:13:15Z",
    "title_canon_sha256": "c38a8fa47bccb2336689382f1cf722dbd31e7ad477754d6413dc98f803165456"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.00752",
    "kind": "arxiv",
    "version": 3
  }
}