Pith Number

pith:DED7RYI2

pith:2025:DED7RYI2KDOUREOTE424TQCM3Z

not attested not anchored not stored refs pending

Colored base-3 partitions, sequences of polynomials, and perfect numbers

Karl Dilcher, Larry Ericksen

arxiv:2509.03147 v1 · 2025-09-03 · math.CO · 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{DED7RYI2KDOUREOTE424TQCM3Z}

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	2026-07-05T12:04:04.997871Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1907f8e11a50dd4891d32735c9c04cde57838d257f4fc923105ddcde0e75e44e

Aliases

arxiv: 2509.03147 · arxiv_version: 2509.03147v1 · doi: 10.48550/arxiv.2509.03147 · pith_short_12: DED7RYI2KDOU · pith_short_16: DED7RYI2KDOUREOT · pith_short_8: DED7RYI2

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/DED7RYI2KDOUREOTE424TQCM3Z \
  | 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: 1907f8e11a50dd4891d32735c9c04cde57838d257f4fc923105ddcde0e75e44e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "421ff5101f95aca6a72a283c5e550dbc5523e234c46e1a8ed7d53179a26cca57",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2025-09-03T08:56:15Z",
    "title_canon_sha256": "6cdf7404cd646b96a7392217358236cb88f3aea3252bf86d136bd2042e651cd3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2509.03147",
    "kind": "arxiv",
    "version": 1
  }
}