Pith Number

pith:RKOS6LDM

pith:2016:RKOS6LDMWPHEVU4BCHPKNOV6M7

not attested not anchored not stored refs pending

Explicit Estimates in the Theory of Prime Numbers

Adrian Dudek

arxiv:1611.07251 v1 · 2016-11-22 · 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{RKOS6LDMWPHEVU4BCHPKNOV6M7}

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	2026-05-18T00:57:24.452758Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8a9d2f2c6cb3ce4ad38111dea6babe67d5dc5eb0fa5ac6ae21ee90882e66ab85

Aliases

arxiv: 1611.07251 · arxiv_version: 1611.07251v1 · doi: 10.48550/arxiv.1611.07251 · pith_short_12: RKOS6LDMWPHE · pith_short_16: RKOS6LDMWPHEVU4B · pith_short_8: RKOS6LDM

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/RKOS6LDMWPHEVU4BCHPKNOV6M7 \
  | 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: 8a9d2f2c6cb3ce4ad38111dea6babe67d5dc5eb0fa5ac6ae21ee90882e66ab85

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b5770c30f2663613640d2a505c218a6a381fdf27d713fddfff3b2f2212ede8a6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2016-11-22T11:22:11Z",
    "title_canon_sha256": "b66b6cdd993112ca8c0c6a80ef3a0ac22ae48c71f0ff9823f787a6de4fa19c1b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.07251",
    "kind": "arxiv",
    "version": 1
  }
}