Pith Number

pith:G4TDERNX

pith:2017:G4TDERNX4A5JMJK4LDNO7PZLV7

not attested not anchored not stored refs pending

Construction of divisible formal weight enumerators and extremal polynomials not satisfying the Riemann hypothesis

Koji Chinen

arxiv:1709.03380 v2 · 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{G4TDERNX4A5JMJK4LDNO7PZLV7}

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	2026-05-18T00:15:37.393454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37263245b7e03a96255c58daefbf2bafe9595f430df83c17037befb586351619

Aliases

arxiv: 1709.03380 · arxiv_version: 1709.03380v2 · doi: 10.48550/arxiv.1709.03380 · pith_short_12: G4TDERNX4A5J · pith_short_16: G4TDERNX4A5JMJK4 · pith_short_8: G4TDERNX

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/G4TDERNX4A5JMJK4LDNO7PZLV7 \
  | 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: 37263245b7e03a96255c58daefbf2bafe9595f430df83c17037befb586351619

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "107e56e9e09b671ca3144e657b51c052eed7d95ebd660510b8228e0405db470d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-09-11T13:56:41Z",
    "title_canon_sha256": "b9dc7881dfc44fcc04fa726b147fd8ff84d42ade1f7ff02169e75c5448385ec2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.03380",
    "kind": "arxiv",
    "version": 2
  }
}