Pith Number

pith:27LFQYBA

pith:2017:27LFQYBA3SQGOIQYLZBGC5WY4C

not attested not anchored not stored refs pending

Extremal invariant polynomials not satisfying the Riemann hypothesis

Koji Chinen

arxiv:1709.03389 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{27LFQYBA3SQGOIQYLZBGC5WY4C}

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	2026-05-18T00:35:38.577967Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7d6586020dca06722185e426176d8e08bb1a4b40d50a08ded3ac792a2db7e37

Aliases

arxiv: 1709.03389 · arxiv_version: 1709.03389v1 · doi: 10.48550/arxiv.1709.03389 · pith_short_12: 27LFQYBA3SQG · pith_short_16: 27LFQYBA3SQGOIQY · pith_short_8: 27LFQYBA

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/27LFQYBA3SQGOIQYLZBGC5WY4C \
  | 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: d7d6586020dca06722185e426176d8e08bb1a4b40d50a08ded3ac792a2db7e37

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "67619de96d15e9f32eb4ea07766281318f8ef044daef30e755cf968f7108d9c5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-09-11T14:13:39Z",
    "title_canon_sha256": "14fd97cd67fdc24ca6ab405b13e94ac0b7535ecc669d2d34f93c058c3a767d06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.03389",
    "kind": "arxiv",
    "version": 1
  }
}