Pith Number

pith:6FEBQCKS

pith:2020:6FEBQCKSEHPJX2ML4MZEKGF6HB

not attested not anchored not stored refs pending

Determining optimal test functions for $2$-level densities

Charles Devlin VI, El\.zbieta Bo{\l}dyriew, Fangu Chen, Jason Zhao, Steven J. Miller

arxiv:2011.10140 v3 · 2020-11-19 · 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{6FEBQCKSEHPJX2ML4MZEKGF6HB}

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	2026-07-05T09:04:06.248910Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f14818095221de9be98be3324518be38643aa8ec70c58ffaa52afe2a814185a1

Aliases

arxiv: 2011.10140 · arxiv_version: 2011.10140v3 · doi: 10.48550/arxiv.2011.10140 · pith_short_12: 6FEBQCKSEHPJ · pith_short_16: 6FEBQCKSEHPJX2ML · pith_short_8: 6FEBQCKS

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/6FEBQCKSEHPJX2ML4MZEKGF6HB \
  | 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: f14818095221de9be98be3324518be38643aa8ec70c58ffaa52afe2a814185a1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "292b5cf935f472bc0c3c900ccf5453e0186a644c9e83246f5eb41ad74a668139",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-11-19T22:56:39Z",
    "title_canon_sha256": "0d0e4cb41de7e75442cbb1f3cc923e325c2da719f203c6894116b4f817821315"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2011.10140",
    "kind": "arxiv",
    "version": 3
  }
}