Pith Number

pith:Y6REX7WL

pith:2017:Y6REX7WLGO2PM7N4CEZXFSQP4C

not attested not anchored not stored refs pending

Sparser variance for primes in arithmetic progression

Roger Baker, Tristan Freiberg

arxiv:1706.07319 v1 · 2017-06-22 · 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{Y6REX7WLGO2PM7N4CEZXFSQP4C}

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	2026-05-18T00:41:51.982832Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c7a24bfecb33b4f67dbc113372ca0fe0a77daff3db22527c0ac3b7f1450ac8a9

Aliases

arxiv: 1706.07319 · arxiv_version: 1706.07319v1 · doi: 10.48550/arxiv.1706.07319 · pith_short_12: Y6REX7WLGO2P · pith_short_16: Y6REX7WLGO2PM7N4 · pith_short_8: Y6REX7WL

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/Y6REX7WLGO2PM7N4CEZXFSQP4C \
  | 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: c7a24bfecb33b4f67dbc113372ca0fe0a77daff3db22527c0ac3b7f1450ac8a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48fc2457ca4d7442a28ff7e210b699c5810ae48fa89f5ed3187104e98020f632",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2017-06-22T13:44:46Z",
    "title_canon_sha256": "17804537703adb7df0a7ca0b0226c3532b18f73a096be0b55c06b3e02e2fa3cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.07319",
    "kind": "arxiv",
    "version": 1
  }
}