Pith Number

pith:7FSGWIS6

pith:2017:7FSGWIS6CCP4XEKVTIJD22DZFP

not attested not anchored not stored refs pending

On the mod $p$ kernel of the theta operator and Eisenstein series

Sho Takemori, Shoyu Nagaoka

arxiv:1708.00564 v1 · 2017-08-02 · 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{7FSGWIS6CCP4XEKVTIJD22DZFP}

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	2026-05-18T00:38:45.394839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9646b225e109fcb91559a123d68792be6743917b720a93ae0ed3c122e9fe4b2

Aliases

arxiv: 1708.00564 · arxiv_version: 1708.00564v1 · doi: 10.48550/arxiv.1708.00564 · pith_short_12: 7FSGWIS6CCP4 · pith_short_16: 7FSGWIS6CCP4XEKV · pith_short_8: 7FSGWIS6

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/7FSGWIS6CCP4XEKVTIJD22DZFP \
  | 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: f9646b225e109fcb91559a123d68792be6743917b720a93ae0ed3c122e9fe4b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9ecc8ccae07e90910a0568b2968696ab7893dd91e77b5874aa5537b9f10b057e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-08-02T00:49:28Z",
    "title_canon_sha256": "d93401583ed61b5ccce7acfe99288c9152d06e9b93f17fb0c28bda746c5504ac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.00564",
    "kind": "arxiv",
    "version": 1
  }
}