Pith Number

pith:RFUS2BU4

pith:2026:RFUS2BU4DSVZXUAB52GSNMRNVI

not attested not anchored not stored refs pending

Hankel determinants of weighted binary sums of digits

Bartosz Sobolewski, Maciej Ulas

arxiv:2607.09376 v1 · 2026-07-10 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RFUS2BU4DSVZXUAB52GSNMRNVI}

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	2026-07-13T01:19:08.023944Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

89692d069c1cab9bd001ee8d26b22daa1614f90a6c0ca861fe69e78e76e506f5

Aliases

arxiv: 2607.09376 · arxiv_version: 2607.09376v1 · doi: 10.48550/arxiv.2607.09376 · pith_short_12: RFUS2BU4DSVZ · pith_short_16: RFUS2BU4DSVZXUAB · pith_short_8: RFUS2BU4

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/RFUS2BU4DSVZXUAB52GSNMRNVI \
  | 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: 89692d069c1cab9bd001ee8d26b22daa1614f90a6c0ca861fe69e78e76e506f5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fb21b51f62b7361ca34bdb6bcb55e7d405e81958310f4696467095ca83ba62cd",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-10T12:58:11Z",
    "title_canon_sha256": "1e7d5fe4a9b22a4fb310514df5a7ec7cffcc651247253bd31af2440b469dd8e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.09376",
    "kind": "arxiv",
    "version": 1
  }
}