Pith Number

pith:E3YL2YOO

pith:2020:E3YL2YOOEVQVG6BKTY2ERQ5XUV

not attested not anchored not stored refs pending

A Bombieri-Vinogradov Theorem for primes in short intervals and small sectors

Alec Sun, Apoorva Panidapu, Cooper O'Kuhn, Shengtong Zhang, Tanmay Khale

arxiv:2008.09677 v3 · 2020-08-21 · 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{E3YL2YOOEVQVG6BKTY2ERQ5XUV}

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	2026-06-25T00:18:10.236180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

26f0bd61ce256153782a9e3448c3b7a57fa1bc5a9a2db02bdd77aa480df285d9

Aliases

arxiv: 2008.09677 · arxiv_version: 2008.09677v3 · doi: 10.48550/arxiv.2008.09677 · pith_short_12: E3YL2YOOEVQV · pith_short_16: E3YL2YOOEVQVG6BK · pith_short_8: E3YL2YOO

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/E3YL2YOOEVQVG6BKTY2ERQ5XUV \
  | 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: 26f0bd61ce256153782a9e3448c3b7a57fa1bc5a9a2db02bdd77aa480df285d9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "407550cd2bbd8e779b45117a2479f06b6b41f016a619de4f0e708e8a8ff53feb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-08-21T21:00:22Z",
    "title_canon_sha256": "46b388c06a6a0ec5d4aab7b46eb50bbbc8c6d8bdcb8876d649d768568f24bdac"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2008.09677",
    "kind": "arxiv",
    "version": 3
  }
}