Pith Number

pith:KOMKEPQO

pith:2016:KOMKEPQO7T2RXPFVF42PTLBRBR

not attested not anchored not stored refs pending

Prescribing the binary digits of squarefree numbers and quadratic residues

C. Elsholtz, I. E. Shparlinski, R. Dietmann

arxiv:1601.04754 v1 · 2016-01-18 · 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{KOMKEPQO7T2RXPFVF42PTLBRBR}

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	2026-05-18T01:22:31.880731Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5398a23e0efcf51bbcb52f34f9ac310c64b589d58d7147221c0326b29e7049e8

Aliases

arxiv: 1601.04754 · arxiv_version: 1601.04754v1 · doi: 10.48550/arxiv.1601.04754 · pith_short_12: KOMKEPQO7T2R · pith_short_16: KOMKEPQO7T2RXPFV · pith_short_8: KOMKEPQO

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/KOMKEPQO7T2RXPFVF42PTLBRBR \
  | 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: 5398a23e0efcf51bbcb52f34f9ac310c64b589d58d7147221c0326b29e7049e8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bfb83f8b2ec1bf0effa4592abd99170e719aec2f70916e2c79c43426902de1a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-01-18T23:07:30Z",
    "title_canon_sha256": "6f7147220e6d8b4b0dff9f08f1422ada3531df1d7324849e640326bfae227632"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.04754",
    "kind": "arxiv",
    "version": 1
  }
}