Pith Number

pith:HBFMTWC5

pith:2016:HBFMTWC5U4V3H7DKABXZ33LBAF

not attested not anchored not stored refs pending

Squares in Piatetski--Shapiro Sequences

Igor E. Shparlinski, Kui Liu, Tianping Zhang

arxiv:1610.07395 v1 · 2016-10-24 · 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{HBFMTWC5U4V3H7DKABXZ33LBAF}

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	2026-05-18T01:01:30.196234Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

384ac9d85da72bb3fc6a006f9ded61015931595f08e734aae8f54a3ec38f00b2

Aliases

arxiv: 1610.07395 · arxiv_version: 1610.07395v1 · doi: 10.48550/arxiv.1610.07395 · pith_short_12: HBFMTWC5U4V3 · pith_short_16: HBFMTWC5U4V3H7DK · pith_short_8: HBFMTWC5

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/HBFMTWC5U4V3H7DKABXZ33LBAF \
  | 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: 384ac9d85da72bb3fc6a006f9ded61015931595f08e734aae8f54a3ec38f00b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea4e3fdbf43b0e2cb561d2921362f7fd60d6f809bbbcc3460e22a2ff69604ff3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-10-24T13:02:10Z",
    "title_canon_sha256": "5d98d2ffa52551b1db62996e785a801a0b161be29134f6c3f4665c1c6ac4c037"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.07395",
    "kind": "arxiv",
    "version": 1
  }
}