Pith Number

pith:M6WGMU6I

pith:2014:M6WGMU6IA2IH5G6TJUBWBEOBTR

not attested not anchored not stored refs pending

On Mertens-Ces\`aro Theorem for Number Fields

Andrea Ferraguti, Giacomo Micheli

arxiv:1409.6527 v5 · 2014-09-23 · 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{M6WGMU6IA2IH5G6TJUBWBEOBTR}

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	2026-05-17T23:54:17.177102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67ac6653c806907e9bd34d036091c19c7f37e224d3c0cd469dde6f1c81f17d2a

Aliases

arxiv: 1409.6527 · arxiv_version: 1409.6527v5 · doi: 10.48550/arxiv.1409.6527 · pith_short_12: M6WGMU6IA2IH · pith_short_16: M6WGMU6IA2IH5G6T · pith_short_8: M6WGMU6I

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/M6WGMU6IA2IH5G6TJUBWBEOBTR \
  | 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: 67ac6653c806907e9bd34d036091c19c7f37e224d3c0cd469dde6f1c81f17d2a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "078979eb6f9ccd1da6eb0cc7a56b3f9e2d166e3dd8dcbfcd1658610a33f1ebda",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2014-09-23T13:32:36Z",
    "title_canon_sha256": "7cf8b007d882d75ed117ce74eefd00cc098791fd57be7870836e13c935a1897d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.6527",
    "kind": "arxiv",
    "version": 5
  }
}