pith. sign in
Pith Number

pith:YX6PVKXN

pith:2014:YX6PVKXN3KSP5CZ65O6RC3EWFJ
not attested not anchored not stored refs pending

Short Note: Every Large Set of Integers Contains a Three Term Arithmetic Progression

Gabor Korvin

arxiv:1404.1557 v1 · 2014-04-06 · math.NT

Add to your LaTeX paper
\usepackage{pith}
\pithnumber{YX6PVKXN3KSP5CZ65O6RC3EWFJ}

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 2026-05-18T02:54:46.020865Z
Builder pith-number-builder-2026-05-17-v1
Signature Pith Ed25519 (pith-v1-2026-05) · public key
Schema pith-number/v1.0

Canonical hash

c5fcfaaaeddaa4fe8b3eebbd116c962a79c00bc50e619d16d2fd4671e6cd73a8

Aliases

arxiv: 1404.1557 · arxiv_version: 1404.1557v1 · doi: 10.48550/arxiv.1404.1557 · pith_short_12: YX6PVKXN3KSP · pith_short_16: YX6PVKXN3KSP5CZ6 · pith_short_8: YX6PVKXN
Agent API
Verify this Pith Number yourself
curl -sH 'Accept: application/ld+json' https://pith.science/pith/YX6PVKXN3KSP5CZ65O6RC3EWFJ \
  | 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: c5fcfaaaeddaa4fe8b3eebbd116c962a79c00bc50e619d16d2fd4671e6cd73a8
Canonical record JSON
{
  "metadata": {
    "abstract_canon_sha256": "330b88ca5cc89ef22d6b803a3adb4f65818217ee82d0f581f46442adb5a98a48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-04-06T08:57:11Z",
    "title_canon_sha256": "3a0c842366e580d6b259b11e73747e4b3de5dca6e44b505d84e197d3a61bff00"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.1557",
    "kind": "arxiv",
    "version": 1
  }
}