Pith Number

pith:MB4ST3E6

pith:2026:MB4ST3E6WJ3GEMJH4EOWGQVVLY

not attested not anchored not stored refs pending

On the Log-Concavity of the D'Arcais Polynomials for Normalised Functions

Johann Stumpenhusen

arxiv:2607.14961 v1 · 2026-07-16 · 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{MB4ST3E6WJ3GEMJH4EOWGQVVLY}

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	2026-07-17T01:22:01.193631Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

607929ec9eb276623127e11d6342b55e2888d12906d9e71f571658a9d7755efd

Aliases

arxiv: 2607.14961 · arxiv_version: 2607.14961v1 · doi: 10.48550/arxiv.2607.14961 · pith_short_12: MB4ST3E6WJ3G · pith_short_16: MB4ST3E6WJ3GEMJH · pith_short_8: MB4ST3E6

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/MB4ST3E6WJ3GEMJH4EOWGQVVLY \
  | 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: 607929ec9eb276623127e11d6342b55e2888d12906d9e71f571658a9d7755efd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "de7a8db6491cb4e16f7485c5881dbb862c5293dd543cdfa7b8ea2592b225ac6d",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-16T13:12:24Z",
    "title_canon_sha256": "2575b67be9c0c77335ed37ad34dad3cc753e94f0ca1748cc0489e85100e0f038"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.14961",
    "kind": "arxiv",
    "version": 1
  }
}