Pith Number

pith:KTX6WNQY

pith:2015:KTX6WNQYLOFGJQ653SN5ALZKJD

not attested not anchored not stored refs pending

Quadratic residues and difference sets

Jack Sonn, Vsevolod F. Lev

arxiv:1502.06833 v1 · 2015-02-24 · 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{KTX6WNQYLOFGJQ653SN5ALZKJD}

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	2026-05-18T02:26:24.543123Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

54efeb36185b8a64c3dddc9bd02f2a48f9b437b211206df26f1c16ac5658507a

Aliases

arxiv: 1502.06833 · arxiv_version: 1502.06833v1 · doi: 10.48550/arxiv.1502.06833 · pith_short_12: KTX6WNQYLOFG · pith_short_16: KTX6WNQYLOFGJQ65 · pith_short_8: KTX6WNQY

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/KTX6WNQYLOFGJQ653SN5ALZKJD \
  | 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: 54efeb36185b8a64c3dddc9bd02f2a48f9b437b211206df26f1c16ac5658507a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9ce3afcb2ed702c7c8957db3f7a7db9d4588e8dc5d526d780bb21e6f6f8eb3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-02-24T15:26:36Z",
    "title_canon_sha256": "91ae6dc4123b7f187b4938aa4639d7300edac934b9ffec936c77b6c5fcde9d49"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.06833",
    "kind": "arxiv",
    "version": 1
  }
}