Pith Number

pith:SNC6FWOU

pith:2026:SNC6FWOUVFZ3DLJJGSV6RN3BB5

not attested not anchored not stored refs pending

An Efficient Algorithm for Estimating Prime Counts

Artur Samojluk, Artur Siemaszko

arxiv:2606.31761 v1 · 2026-06-30 · 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{SNC6FWOUVFZ3DLJJGSV6RN3BB5}

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	2026-07-01T01:18:13.974882Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9345e2d9d4a973b1ad2934abe8b7610f7424bbc664cea75090b2692b3f280f60

Aliases

arxiv: 2606.31761 · arxiv_version: 2606.31761v1 · doi: 10.48550/arxiv.2606.31761 · pith_short_12: SNC6FWOUVFZ3 · pith_short_16: SNC6FWOUVFZ3DLJJ · pith_short_8: SNC6FWOU

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/SNC6FWOUVFZ3DLJJGSV6RN3BB5 \
  | 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: 9345e2d9d4a973b1ad2934abe8b7610f7424bbc664cea75090b2692b3f280f60

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "725e76f96a60b4d08e03e377f5cd00196a06d8523b8b2758c476e9705b7a9240",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-30T14:49:55Z",
    "title_canon_sha256": "7982f07f4b01860be4c1673c7b6213dc6eb8e91944ae1ea7ddee9c354a3c0eb1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31761",
    "kind": "arxiv",
    "version": 1
  }
}