Pith Number

pith:3MO344UB

pith:2015:3MO344UBBFDN5JFG5F2JI6KIGC

not attested not anchored not stored refs pending

Short intervals asymptotic formulae for binary problems with primes and powers, II: density $1$

Alessandro Languasco, Alessandro Zaccagnini

arxiv:1504.04709 v2 · 2015-04-18 · 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{3MO344UBBFDN5JFG5F2JI6KIGC}

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	2026-05-18T00:53:40.604076Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db1dbe72810946dea4a6e97494794830828e5f755277eb3ebcbad65602a833ca

Aliases

arxiv: 1504.04709 · arxiv_version: 1504.04709v2 · doi: 10.48550/arxiv.1504.04709 · pith_short_12: 3MO344UBBFDN · pith_short_16: 3MO344UBBFDN5JFG · pith_short_8: 3MO344UB

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/3MO344UBBFDN5JFG5F2JI6KIGC \
  | 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: db1dbe72810946dea4a6e97494794830828e5f755277eb3ebcbad65602a833ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e3a12869e049ac7b3c19014f47af6931a628452e0896839626a8f53236e59f1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-04-18T11:14:11Z",
    "title_canon_sha256": "bab616474c7a4ec2c50fefdac803e743a647a02add338f5538bafd4030e22424"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.04709",
    "kind": "arxiv",
    "version": 2
  }
}