Pith Number

pith:XRPEW43J

pith:2009:XRPEW43JUTL533QSHFY2CNBSDR

not attested not anchored not stored refs pending

Exponential unitary divisors

L\'aszl\'o T\'oth, Nicu\c{s}or Minculete

arxiv:0910.2798 v1 · 2009-10-15 · 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{XRPEW43JUTL533QSHFY2CNBSDR}

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	2026-05-18T04:12:55.135081Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bc5e4b7369a4d7ddee123971a134321c48c8da7243d59e4a1a3bab9bf090b952

Aliases

arxiv: 0910.2798 · arxiv_version: 0910.2798v1 · doi: 10.48550/arxiv.0910.2798 · pith_short_12: XRPEW43JUTL5 · pith_short_16: XRPEW43JUTL533QS · pith_short_8: XRPEW43J

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/XRPEW43JUTL533QSHFY2CNBSDR \
  | 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: bc5e4b7369a4d7ddee123971a134321c48c8da7243d59e4a1a3bab9bf090b952

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e437cde67e3fb5b0448ae66cd1540cc1b149881085f5193cf681cbaab92ffe4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2009-10-15T07:52:57Z",
    "title_canon_sha256": "985d013ec44251015c24b1f1f5fa084ad7f9e10478fef8d5008e4b13aa5e924d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.2798",
    "kind": "arxiv",
    "version": 1
  }
}