Pith Number

pith:U5Q5F47D

pith:2020:U5Q5F47DNHNLE5YJR5JX7L6JRX

not attested not anchored not stored refs pending

Primes in arithmetic progressions and semidefinite programming

Andr\'es Chirre, David de Laat, Valdir Jos\'e Pereira J\'unior

arxiv:2005.02393 v3 · 2020-05-05 · math.NT · cs.NA · math.CA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U5Q5F47DNHNLE5YJR5JX7L6JRX}

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	2026-07-05T02:05:40.107875Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a761d2f3e369dab277098f537fafc98dcee5e243b2d14e1da52a6a1b5f0c17d5

Aliases

arxiv: 2005.02393 · arxiv_version: 2005.02393v3 · doi: 10.48550/arxiv.2005.02393 · pith_short_12: U5Q5F47DNHNL · pith_short_16: U5Q5F47DNHNLE5YJ · pith_short_8: U5Q5F47D

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/U5Q5F47DNHNLE5YJR5JX7L6JRX \
  | 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: a761d2f3e369dab277098f537fafc98dcee5e243b2d14e1da52a6a1b5f0c17d5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50626e57d6b4b4f24d0eb9df12d5ce1dcd8652de65815f9a2b8daa6ccd4957a9",
    "cross_cats_sorted": [
      "cs.NA",
      "math.CA",
      "math.NA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2020-05-05T16:56:09Z",
    "title_canon_sha256": "549c84c03e8662c6be3fdeb0b581bd4e1c0122545b2053cd7f3f5ff2838e45cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2005.02393",
    "kind": "arxiv",
    "version": 3
  }
}