Pith Number

pith:WKGKT645

pith:2015:WKGKT645SLBGCVFR73QW7FBEAV

not attested not anchored not stored refs pending

Zeta functions and asymptotic additive bases with some unusual sets of primes

William D. Banks

arxiv:1508.07367 v2 · 2015-08-28 · 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{WKGKT645SLBGCVFR73QW7FBEAV}

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	2026-05-18T01:32:51.995008Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b28ca9fb9d92c26154b1fee16f94240574a7b8bc6ce8d3e952c863c3d9f820e0

Aliases

arxiv: 1508.07367 · arxiv_version: 1508.07367v2 · doi: 10.48550/arxiv.1508.07367 · pith_short_12: WKGKT645SLBG · pith_short_16: WKGKT645SLBGCVFR · pith_short_8: WKGKT645

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/WKGKT645SLBGCVFR73QW7FBEAV \
  | 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: b28ca9fb9d92c26154b1fee16f94240574a7b8bc6ce8d3e952c863c3d9f820e0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4ee79819476fe98b1c9651d65c52fc3bfd1f277d3fc755656bfb349bcc9f4bea",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-08-28T22:24:35Z",
    "title_canon_sha256": "06304bc7b7a5eee51d4bb01c7ed7e1e47786361d6cfcc22f751fd2e1d430f461"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07367",
    "kind": "arxiv",
    "version": 2
  }
}