Pith Number

pith:FDDO27QC

pith:2017:FDDO27QCG7NDGKOUUW34LRCY52

not attested not anchored not stored refs pending

On some families of invariant polynomials divisible by three and their zeta functions

Koji Chinen

arxiv:1709.03403 v1 · 2017-09-11 · 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{FDDO27QCG7NDGKOUUW34LRCY52}

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	2026-05-18T00:35:38.517502Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

28c6ed7e0237da3329d4a5b7c5c458ee8e77d09b75780c51c3a82922cc60d1ed

Aliases

arxiv: 1709.03403 · arxiv_version: 1709.03403v1 · doi: 10.48550/arxiv.1709.03403 · pith_short_12: FDDO27QCG7ND · pith_short_16: FDDO27QCG7NDGKOU · pith_short_8: FDDO27QC

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/FDDO27QCG7NDGKOUUW34LRCY52 \
  | 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: 28c6ed7e0237da3329d4a5b7c5c458ee8e77d09b75780c51c3a82922cc60d1ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f9e8432b33ffebb8ec1230445a555c19ced17f7f99dc55669b5bdbece189994",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-09-11T14:26:56Z",
    "title_canon_sha256": "c7b28b8492acf5c396ceddb1720b73584365bcfc1a5a718f1265e579ba9d8e5d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.03403",
    "kind": "arxiv",
    "version": 1
  }
}