Pith Number

pith:L6V5SQ6X

pith:2023:L6V5SQ6XZTMP5VTT5KCQ3NGXCL

not attested not anchored not stored refs pending

A strong-type Furstenberg-S\'{a}rk\"{o}zy theorem for sets of positive measure

Mario Stip\v{c}i\'c, Polona Durcik, Vjekoslav Kova\v{c}

arxiv:2302.13548 v1 · 2023-02-27 · math.CA · 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{L6V5SQ6XZTMP5VTT5KCQ3NGXCL}

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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	2026-07-05T06:14:57.740383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5fabd943d7ccd8fed673ea850db4d712c48b9c12f04886cfc1f930a47cd23502

Aliases

arxiv: 2302.13548 · arxiv_version: 2302.13548v1 · doi: 10.48550/arxiv.2302.13548 · pith_short_12: L6V5SQ6XZTMP · pith_short_16: L6V5SQ6XZTMP5VTT · pith_short_8: L6V5SQ6X

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/L6V5SQ6XZTMP5VTT5KCQ3NGXCL \
  | 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: 5fabd943d7ccd8fed673ea850db4d712c48b9c12f04886cfc1f930a47cd23502

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3f1f930a19c81538a706556ccbc99487fbfe70f0386faabf7be03b9b847ac042",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2023-02-27T07:03:12Z",
    "title_canon_sha256": "97ff75b2a09e035eeb13f97ac5387fdb698e6ed065f8a2260a2800cae2c8e1a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2302.13548",
    "kind": "arxiv",
    "version": 1
  }
}