Pith Number

pith:NZPJY7QR

pith:2019:NZPJY7QRPAQBCNQVHNTCHNN6YI

not attested not anchored not stored refs pending

An improved constant in Banaszczyk's transference theorem

Divesh Aggarwal, Noah Stephens-Davidowitz

arxiv:1907.09020 v1 · 2019-07-21 · math.MG · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NZPJY7QRPAQBCNQVHNTCHNN6YI}

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	2026-05-17T23:40:02.403828Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6e5e9c7e1178201136153b6623b5bec22c19d4e234ac961058e8e2e9f0b875e5

Aliases

arxiv: 1907.09020 · arxiv_version: 1907.09020v1 · doi: 10.48550/arxiv.1907.09020 · pith_short_12: NZPJY7QRPAQB · pith_short_16: NZPJY7QRPAQBCNQV · pith_short_8: NZPJY7QR

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/NZPJY7QRPAQBCNQVHNTCHNN6YI \
  | 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: 6e5e9c7e1178201136153b6623b5bec22c19d4e234ac961058e8e2e9f0b875e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b28c5ca2b8313d1afceb61b1119aa7319b653660b9de1a09e722c679a6a7eca6",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2019-07-21T19:35:07Z",
    "title_canon_sha256": "775d1801b75bae9da9a222a58f375f74ca64b86938eb506a2c2a974f2a178b26"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.09020",
    "kind": "arxiv",
    "version": 1
  }
}