Pith Number

pith:6ERWRCEO

pith:2012:6ERWRCEONUFJ4HOZZUCTYF74O6

not attested not anchored not stored refs pending

Pretentious multiplicative functions and the prime number theorem for arithmetic progressions

Dimitris Koukoulopoulos

arxiv:1203.0596 v3 · 2012-03-03 · 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{6ERWRCEONUFJ4HOZZUCTYF74O6}

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	2026-05-17T23:53:36.284541Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f12368888e6d0a9e1dd9cd053c17fc77b7ca30f872b6c962dd20a3256e75e193

Aliases

arxiv: 1203.0596 · arxiv_version: 1203.0596v3 · doi: 10.48550/arxiv.1203.0596 · pith_short_12: 6ERWRCEONUFJ · pith_short_16: 6ERWRCEONUFJ4HOZ · pith_short_8: 6ERWRCEO

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/6ERWRCEONUFJ4HOZZUCTYF74O6 \
  | 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: f12368888e6d0a9e1dd9cd053c17fc77b7ca30f872b6c962dd20a3256e75e193

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe78c79b9f40c8c80f36cf738f54dc62c9918e0093a62793227f391339623215",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2012-03-03T01:26:10Z",
    "title_canon_sha256": "d65e95bde8fdd6c6972c25eb2e5338daa88ff10ca9839a795d7866d1fd4d4d15"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.0596",
    "kind": "arxiv",
    "version": 3
  }
}