Pith Number

pith:HKL3LEOT

pith:2019:HKL3LEOTCJPQ3YA5NTVDO4UDAE

not attested not anchored not stored refs pending

On distinct consecutive differences

Endre Szemer\'edi, George Shakan, Imre Ruzsa, Jozsef Solymosi

arxiv:1910.02159 v2 · 2019-10-04 · 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{HKL3LEOTCJPQ3YA5NTVDO4UDAE}

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	2026-07-05T00:24:56.027351Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3a97b591d3125f0de01d6cea37728301334b0d979cd91bfd98fdc8676214b01d

Aliases

arxiv: 1910.02159 · arxiv_version: 1910.02159v2 · doi: 10.48550/arxiv.1910.02159 · pith_short_12: HKL3LEOTCJPQ · pith_short_16: HKL3LEOTCJPQ3YA5 · pith_short_8: HKL3LEOT

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/HKL3LEOTCJPQ3YA5NTVDO4UDAE \
  | 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: 3a97b591d3125f0de01d6cea37728301334b0d979cd91bfd98fdc8676214b01d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5693f14eeff89380d1066a2952fc12e512928ab1c4b91e8627e502b9d78db102",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2019-10-04T22:15:53Z",
    "title_canon_sha256": "7ff988a360c1b508efaf25147b55feeac8517af24c215c868485aec216b7e36d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.02159",
    "kind": "arxiv",
    "version": 2
  }
}