Pith Number

pith:MEHRGMVP

pith:2018:MEHRGMVPQBX4GJIX3SN6SDAK46

not attested not anchored not stored refs pending

A study of divergence from randomness in the distribution of prime numbers within the arithmetic progressions 1+6n and 5+6n

Andrea Berdondini

arxiv:1804.07607 v1 · 2018-04-19 · math.GM

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MEHRGMVPQBX4GJIX3SN6SDAK46}

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	2026-05-18T00:17:58.331001Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

610f1332af806fc32517dc9be90c0ae7a4a9f762cabf19825adaaf6af7979147

Aliases

arxiv: 1804.07607 · arxiv_version: 1804.07607v1 · doi: 10.48550/arxiv.1804.07607 · pith_short_12: MEHRGMVPQBX4 · pith_short_16: MEHRGMVPQBX4GJIX · pith_short_8: MEHRGMVP

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/MEHRGMVPQBX4GJIX3SN6SDAK46 \
  | 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: 610f1332af806fc32517dc9be90c0ae7a4a9f762cabf19825adaaf6af7979147

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9eb24ffa4be4067ee1c1609086e8529843aa883c81a87a57f4103ef12f26da75",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GM",
    "submitted_at": "2018-04-19T15:12:01Z",
    "title_canon_sha256": "a5b0285f243d113dd88277c6b0276c39cac4c94893c7b94c0ec553fe385a16ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1804.07607",
    "kind": "arxiv",
    "version": 1
  }
}