Pith Number

pith:DRHHVPFP

pith:2015:DRHHVPFPQQXOTLMKMPYRHDUQPU

not attested not anchored not stored refs pending

On the first sign change in Mertens' Theorem

Jan B\"uthe

arxiv:1503.01277 v2 · 2015-03-04 · 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{DRHHVPFPQQXOTLMKMPYRHDUQPU}

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	2026-05-18T01:27:38.440273Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c4e7abcaf842ee9ad8a63f1138e907d1d56acf2333187f6c77c2de3a8c42068

Aliases

arxiv: 1503.01277 · arxiv_version: 1503.01277v2 · doi: 10.48550/arxiv.1503.01277 · pith_short_12: DRHHVPFPQQXO · pith_short_16: DRHHVPFPQQXOTLMK · pith_short_8: DRHHVPFP

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/DRHHVPFPQQXOTLMKMPYRHDUQPU \
  | 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: 1c4e7abcaf842ee9ad8a63f1138e907d1d56acf2333187f6c77c2de3a8c42068

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c18102f6174c61d18ab16fb5c6d5fbec9b4c1b00c5a8b6f7b736037dfdd8e412",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-03-04T10:54:50Z",
    "title_canon_sha256": "fe9bdf17e08286b84bd0d7de870244d2b1fdf2cb47ec220a2e04ef9d0bb9cc67"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.01277",
    "kind": "arxiv",
    "version": 2
  }
}