Pith Number

pith:T3SDPUKE

pith:2016:T3SDPUKE7CYRB75GT7DFCPHC6Z

not attested not anchored not stored refs pending

A tight bound for Green's arithmetic triangle removal lemma in vector spaces

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

arxiv:1606.01230 v6 · 2016-06-03 · 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{T3SDPUKE7CYRB75GT7DFCPHC6Z}

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	2026-05-18T00:35:44.273249Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9ee437d144f8b110ffa69fc6513ce2f67ff4960f32f210b4e6d370bcd771edfc

Aliases

arxiv: 1606.01230 · arxiv_version: 1606.01230v6 · doi: 10.48550/arxiv.1606.01230 · pith_short_12: T3SDPUKE7CYR · pith_short_16: T3SDPUKE7CYRB75G · pith_short_8: T3SDPUKE

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/T3SDPUKE7CYRB75GT7DFCPHC6Z \
  | 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: 9ee437d144f8b110ffa69fc6513ce2f67ff4960f32f210b4e6d370bcd771edfc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "079202c2ed6cb03c1cd9f08301c285bd3f217651a281884b01730f6a36bcc7d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2016-06-03T19:45:25Z",
    "title_canon_sha256": "d10591cb4b4d166a9e1bf09e6e3e4fbaf1925e97a5ee972eed5402751d3f3b7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1606.01230",
    "kind": "arxiv",
    "version": 6
  }
}