Pith Number

pith:2YDLSQHM

pith:2016:2YDLSQHM3UPWARYC3YJXRHOFW4

not attested not anchored not stored refs pending

Short interval results for certain prime-independent multiplicative functions

Olivier Bordell\`es

arxiv:1609.02724 v1 · 2016-09-09 · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2YDLSQHM3UPWARYC3YJXRHOFW4}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more

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	2026-05-18T01:04:51.414844Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d606b940ecdd1f604702de13789dc5b73a8f6e5a66bddad1355125debc5c4232

Aliases

arxiv: 1609.02724 · arxiv_version: 1609.02724v1 · doi: 10.48550/arxiv.1609.02724 · pith_short_12: 2YDLSQHM3UPW · pith_short_16: 2YDLSQHM3UPWARYC · pith_short_8: 2YDLSQHM

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/2YDLSQHM3UPWARYC3YJXRHOFW4 \
  | 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: d606b940ecdd1f604702de13789dc5b73a8f6e5a66bddad1355125debc5c4232

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "455f522abeb33c07de5a70ed2229fa79a36cd7e91b8a3f59243c8f14cac0da36",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-09-09T09:46:19Z",
    "title_canon_sha256": "104e9d33dd3af9f3312e0706703619904817083d28e0fcab60cc688cd6af9206"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.02724",
    "kind": "arxiv",
    "version": 1
  }
}