Pith Number

pith:RJMQU4YR

pith:2026:RJMQU4YRCSLNG6QGUESMG54TAJ

not attested not anchored not stored refs pending

Weighted Recursions for the Smallest Parts Function

Matthew Ortiz

arxiv:2606.07885 v1 · 2026-06-05 · 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{RJMQU4YRCSLNG6QGUESMG54TAJ}

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	2026-06-09T01:04:54.539921Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a590a73111496d37a06a124c37793026739dd504f20108417c709ff058bf6ed

Aliases

arxiv: 2606.07885 · arxiv_version: 2606.07885v1 · doi: 10.48550/arxiv.2606.07885 · pith_short_12: RJMQU4YRCSLN · pith_short_16: RJMQU4YRCSLNG6QG · pith_short_8: RJMQU4YR

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/RJMQU4YRCSLNG6QGUESMG54TAJ \
  | 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: 8a590a73111496d37a06a124c37793026739dd504f20108417c709ff058bf6ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f1692db7f81c9d3d9887650f2b7465f84998460e99e6a412e503c8e4efc0c2b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-05T22:38:45Z",
    "title_canon_sha256": "ba9832da0abd7293cb14fce85b168ebf8cc1c341016556ae7e70b7a1e5172a94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.07885",
    "kind": "arxiv",
    "version": 1
  }
}