Pith Number

pith:BIZCK5X3

pith:2018:BIZCK5X3WUBYS3R47UQLBMP2Z7

not attested not anchored not stored refs pending

A bilinear Bogolyubov-Ruzsa lemma with poly-logarithmic bounds

Kaave Hosseini, Shachar Lovett

arxiv:1808.04965 v2 · 2018-08-15 · 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{BIZCK5X3WUBYS3R47UQLBMP2Z7}

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	2026-05-17T23:43:23.720839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0a322576fbb503896e3cfd20b0b1facfc9fc0696bb301a30dec42b85f12d8e06

Aliases

arxiv: 1808.04965 · arxiv_version: 1808.04965v2 · doi: 10.48550/arxiv.1808.04965 · pith_short_12: BIZCK5X3WUBY · pith_short_16: BIZCK5X3WUBYS3R4 · pith_short_8: BIZCK5X3

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/BIZCK5X3WUBYS3R47UQLBMP2Z7 \
  | 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: 0a322576fbb503896e3cfd20b0b1facfc9fc0696bb301a30dec42b85f12d8e06

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce8c82a7694216fe7b36662c969c640bc652d7e9e2bda9e680da9652fd00b52a",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-08-15T04:20:22Z",
    "title_canon_sha256": "61a2dd606adbc97304dc166f9ef140f4ea7baa1bfc2b96b681a3bd507dd563cf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1808.04965",
    "kind": "arxiv",
    "version": 2
  }
}