Pith Number

pith:I2PK4K6H

pith:2014:I2PK4K6HPNVTHDJ2WBOVJAZUZI

not attested not anchored not stored refs pending

A tight lower bound for Szemer\'edi's regularity lemma

Jacob Fox, L\'aszl\'o Mikl\'os Lov\'asz

arxiv:1403.1768 v1 · 2014-03-07 · math.CO · cs.DM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{I2PK4K6HPNVTHDJ2WBOVJAZUZI}

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	2026-05-18T02:56:52.582233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

469eae2bc77b6b338d3ab05d548334ca29681dc6dddb3c505c14bf940e472b4b

Aliases

arxiv: 1403.1768 · arxiv_version: 1403.1768v1 · doi: 10.48550/arxiv.1403.1768 · pith_short_12: I2PK4K6HPNVT · pith_short_16: I2PK4K6HPNVTHDJ2 · pith_short_8: I2PK4K6H

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/I2PK4K6HPNVTHDJ2WBOVJAZUZI \
  | 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: 469eae2bc77b6b338d3ab05d548334ca29681dc6dddb3c505c14bf940e472b4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd9423fe90910c0d1f6d5ddc1c4aef6df75b881db5be11ec0a80d471734b2275",
    "cross_cats_sorted": [
      "cs.DM"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-03-07T15:04:45Z",
    "title_canon_sha256": "bafe7a95c6de39873cdc99713986d7984a03d8dc49d864df958601168d1910a8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.1768",
    "kind": "arxiv",
    "version": 1
  }
}