Pith Number

pith:AMECFK2B

pith:2026:AMECFK2BZJEFXDMBCLANO5LVZQ

not attested not anchored not stored refs pending

Explicit bounds for Buchstab's function

Andreas Weingartner

arxiv:2607.21883 v1 · 2026-07-24 · 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{AMECFK2BZJEFXDMBCLANO5LVZQ}

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	2026-07-27T00:20:26.123170Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

030822ab41ca485b8d8112c0d77575cc1ac36a52df1b932b242d9dd34fc7ff38

Aliases

arxiv: 2607.21883 · arxiv_version: 2607.21883v1 · doi: 10.48550/arxiv.2607.21883 · pith_short_12: AMECFK2BZJEF · pith_short_16: AMECFK2BZJEFXDMB · pith_short_8: AMECFK2B

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/AMECFK2BZJEFXDMBCLANO5LVZQ \
  | 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: 030822ab41ca485b8d8112c0d77575cc1ac36a52df1b932b242d9dd34fc7ff38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25bbec4207d30d62ca96bec6a97e2817e4a13b7f1a93b3c86291a75346a48933",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-07-24T01:02:34Z",
    "title_canon_sha256": "51faab09a18ab952c5a3ea23bbf3f87f53ee98cf2805129a11794580391fe575"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.21883",
    "kind": "arxiv",
    "version": 1
  }
}