Pith Number

pith:TP5KQJWO

pith:2026:TP5KQJWO2MNWN7EUYNOKU722JD

not attested not anchored not stored refs pending

An Explicit Surjectivity Threshold for Digit Sums of Primes

Jens Lehmann

arxiv:2606.04677 v1 · 2026-06-03 · 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{TP5KQJWO2MNWN7EUYNOKU722JD}

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	2026-06-04T01:09:24.522186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9bfaa826ced31b66fc94c35caa7f5a48de171edcbf8950fe8c296374b63ee0d2

Aliases

arxiv: 2606.04677 · arxiv_version: 2606.04677v1 · doi: 10.48550/arxiv.2606.04677 · pith_short_12: TP5KQJWO2MNW · pith_short_16: TP5KQJWO2MNWN7EU · pith_short_8: TP5KQJWO

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/TP5KQJWO2MNWN7EUYNOKU722JD \
  | 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: 9bfaa826ced31b66fc94c35caa7f5a48de171edcbf8950fe8c296374b63ee0d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cf422379284bc95df21a1164d7a48eeaadd553cada3fa62c17d6a000d7938ff0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-03T10:01:39Z",
    "title_canon_sha256": "328df018c647a79bd0b9f652e481c2169a01b02f6ccba2c0c247c57de10fc5d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.04677",
    "kind": "arxiv",
    "version": 1
  }
}