Pith Number

pith:LZOZGAAV

pith:2012:LZOZGAAV5YGKMXIOSIGK37SOZS

not attested not anchored not stored refs pending

A multidimensional Szemeredi theorem for Hardy sequences of different growth

Nikos Frantzikinakis

arxiv:1202.4784 v1 · 2012-02-21 · math.DS · 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{LZOZGAAV5YGKMXIOSIGK37SOZS}

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	2026-05-18T04:01:40.742881Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e5d930015ee0ca65d0e920cadfe4ecc90501b668108e38e2b08263a5a27d04c

Aliases

arxiv: 1202.4784 · arxiv_version: 1202.4784v1 · doi: 10.48550/arxiv.1202.4784 · pith_short_12: LZOZGAAV5YGK · pith_short_16: LZOZGAAV5YGKMXIO · pith_short_8: LZOZGAAV

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/LZOZGAAV5YGKMXIOSIGK37SOZS \
  | 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: 5e5d930015ee0ca65d0e920cadfe4ecc90501b668108e38e2b08263a5a27d04c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3a1a6ec87d48976d49a3de32a0b72bffabb20db371b7fd79dad8d47c0b15757b",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2012-02-21T22:27:06Z",
    "title_canon_sha256": "6fe21614c4ce8123819d656860b1942dbaa3eb6da273217809a3b41c9b171209"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.4784",
    "kind": "arxiv",
    "version": 1
  }
}