Pith Number

pith:TCNRX5DK

pith:2018:TCNRX5DKQ7QEAWEHC4XNOLLJP3

not attested not anchored not stored refs pending

The edge-statistics conjecture for $\ell \ll k^{6/5}$

Anders Martinsson, Andreas Noever, Frank Mousset, Milo\v{s} Truji\'c

arxiv:1809.02576 v3 · 2018-09-07 · math.CO · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TCNRX5DKQ7QEAWEHC4XNOLLJP3}

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.

Cited by

1 paper in Pith

An algebraic inverse theorem for the quadratic Littlewood-Offord problem, and an application to Ramsey graphs

Receipt and verification

First computed	2026-07-05T03:04:57.768186Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

989b1bf46a87e0405887172ed72d697eed92ba6f52cc9c0536b66db242883231

Aliases

arxiv: 1809.02576 · arxiv_version: 1809.02576v3 · doi: 10.48550/arxiv.1809.02576 · pith_short_12: TCNRX5DKQ7QE · pith_short_16: TCNRX5DKQ7QEAWEH · pith_short_8: TCNRX5DK

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/TCNRX5DKQ7QEAWEHC4XNOLLJP3 \
  | 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: 989b1bf46a87e0405887172ed72d697eed92ba6f52cc9c0536b66db242883231

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d93d7f4dae173fc711c93299f9708b4a28145d72bb913c6bcd27bac8ddbfb1d6",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-07T17:04:52Z",
    "title_canon_sha256": "ca2fe5190df40604bc0104172756db49c7f8772a4ca47484854e8e862e6a8f8a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.02576",
    "kind": "arxiv",
    "version": 3
  }
}