Pith Number

pith:UO3HZPIE

pith:2006:UO3HZPIE5THWPMG55U5JALO4EK

not attested not anchored not stored refs pending

Perfect difference sets constructed from Sidon sets

Javier Cilleruelo, Melvyn B. Nathanson

arxiv:math/0609244 v1 · 2006-09-08 · math.NT · math.CO

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UO3HZPIE5THWPMG55U5JALO4EK}

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	2026-05-18T00:53:45.935162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a3b67cbd04eccf67b0dded3a902ddc22ac6772b496dc233bb8c45d7c3fc01c11

Aliases

arxiv: math/0609244 · arxiv_version: math/0609244v1 · doi: 10.48550/arxiv.math/0609244 · pith_short_12: UO3HZPIE5THW · pith_short_16: UO3HZPIE5THWPMG5 · pith_short_8: UO3HZPIE

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/UO3HZPIE5THWPMG55U5JALO4EK \
  | 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: a3b67cbd04eccf67b0dded3a902ddc22ac6772b496dc233bb8c45d7c3fc01c11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7586fcf7f81d53d85d2ffbb99d54b50ebd933ee458a93d40db7b16a62e5c2140",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "",
    "primary_cat": "math.NT",
    "submitted_at": "2006-09-08T17:55:20Z",
    "title_canon_sha256": "05894b8404b4004b7857da446b8676692d436750522507247b1bee63952024cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609244",
    "kind": "arxiv",
    "version": 1
  }
}