Pith Number

pith:B7BOY2PX

pith:2024:B7BOY2PXW6NSJ7DWITFAEU7SZX

not attested not anchored not stored refs pending

Parity of the coefficients of certain eta-quotients, III: two special classes

Fabrizio Zanello, William J. Keith

arxiv:2404.15716 v3 · 2024-04-24 · math.CO · math.AC · 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{B7BOY2PXW6NSJ7DWITFAEU7SZX}

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	2026-05-22T02:04:35.088891Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fc2ec69f7b79b24fc7644ca0253f2cdd345b729bb7f1a8ee8cffd1b2e3caf32

Aliases

arxiv: 2404.15716 · arxiv_version: 2404.15716v3 · doi: 10.48550/arxiv.2404.15716 · pith_short_12: B7BOY2PXW6NS · pith_short_16: B7BOY2PXW6NSJ7DW · pith_short_8: B7BOY2PX

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/B7BOY2PXW6NSJ7DWITFAEU7SZX \
  | 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: 0fc2ec69f7b79b24fc7644ca0253f2cdd345b729bb7f1a8ee8cffd1b2e3caf32

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "342e19006e092ba6d0c638cb69771f7bc62e2ad7a0fe70face875e4ded914fc2",
    "cross_cats_sorted": [
      "math.AC",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2024-04-24T08:07:30Z",
    "title_canon_sha256": "367e3c82a3feaabadbc330760a31a9d6cb96ef36dd6b53a698d26242109d1f66"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2404.15716",
    "kind": "arxiv",
    "version": 3
  }
}