Pith Number

pith:IZ6MJMPU

pith:2014:IZ6MJMPUTOGTKPVJCFKHCRGPCL

not attested not anchored not stored refs pending

Variants of the Selberg sieve, and bounded intervals containing many primes

D. H. J. Polymath

arxiv:1407.4897 v4 · 2014-07-18 · 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{IZ6MJMPUTOGTKPVJCFKHCRGPCL}

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	2026-05-18T02:30:47.181876Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

467cc4b1f49b8d353ea911547144cf12f2da1a015bf8f7ca9f0a14ee8ac0d6b0

Aliases

arxiv: 1407.4897 · arxiv_version: 1407.4897v4 · doi: 10.48550/arxiv.1407.4897 · pith_short_12: IZ6MJMPUTOGT · pith_short_16: IZ6MJMPUTOGTKPVJ · pith_short_8: IZ6MJMPU

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/IZ6MJMPUTOGTKPVJCFKHCRGPCL \
  | 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: 467cc4b1f49b8d353ea911547144cf12f2da1a015bf8f7ca9f0a14ee8ac0d6b0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85dfb14e8c073939ed4e62d7f92e3041a6d7a45db7934ffd27de7e1561192749",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-07-18T06:50:15Z",
    "title_canon_sha256": "93114063e1aa6b86b3869ebbae18b10da0911aa1f9ee3ff8a39895e10b0ab0b1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.4897",
    "kind": "arxiv",
    "version": 4
  }
}