Pith Number

pith:QZLGLCG7

pith:2013:QZLGLCG7MDSHFXCMDHAJAEV6UH

not attested not anchored not stored refs pending

The origin of the logarithmic integral in the prime number theorem

Kolbj{\o}rn Tunstr{\o}m

arxiv:1311.1093 v1 · 2013-09-30 · 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{QZLGLCG7MDSHFXCMDHAJAEV6UH}

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	2026-05-18T03:07:55.612837Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

86566588df60e472dc4c19c09012bea1c74204a8bbf526c89fd1122b4d5ec0f3

Aliases

arxiv: 1311.1093 · arxiv_version: 1311.1093v1 · doi: 10.48550/arxiv.1311.1093 · pith_short_12: QZLGLCG7MDSH · pith_short_16: QZLGLCG7MDSHFXCM · pith_short_8: QZLGLCG7

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/QZLGLCG7MDSHFXCMDHAJAEV6UH \
  | 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: 86566588df60e472dc4c19c09012bea1c74204a8bbf526c89fd1122b4d5ec0f3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39376bbecc75111767f20a6ea7986ebd9625443e8e7043210b18ef7690ceb21d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2013-09-30T19:56:44Z",
    "title_canon_sha256": "2def7db7ef00f21a94fc88db2b90c4abc833594f92c57f13f6a86b74b6212510"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.1093",
    "kind": "arxiv",
    "version": 1
  }
}