Pith Number

pith:NQ7JQRGK

pith:2011:NQ7JQRGK6ICYPWSR6G5VVP6VA5

not attested not anchored not stored refs pending

A modified M\"obius $\mu$-function

J\"orn Steuding, L\'aszl\'o T\'oth, Rasa Steuding

arxiv:1109.4242 v1 · 2011-09-20 · 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{NQ7JQRGK6ICYPWSR6G5VVP6VA5}

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	2026-05-18T04:12:43.793785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6c3e9844caf20587da51f1bb5abfd5077f06e33a6995473919acb0838d0416f7

Aliases

arxiv: 1109.4242 · arxiv_version: 1109.4242v1 · doi: 10.48550/arxiv.1109.4242 · pith_short_12: NQ7JQRGK6ICY · pith_short_16: NQ7JQRGK6ICYPWSR · pith_short_8: NQ7JQRGK

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/NQ7JQRGK6ICYPWSR6G5VVP6VA5 \
  | 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: 6c3e9844caf20587da51f1bb5abfd5077f06e33a6995473919acb0838d0416f7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "322557f3ed827808770275a0770ba06a891aae61d029213d12ef21a778e61d14",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2011-09-20T09:03:33Z",
    "title_canon_sha256": "f5ed84d3473c10239a69f693ffc9415a7cafb5bb9a33f5915a20e85f90f6457f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.4242",
    "kind": "arxiv",
    "version": 1
  }
}