Pith Number

pith:SDFPAQC4

pith:2018:SDFPAQC4QJVCDGQZJ2EY265UOV

not attested not anchored not stored refs pending

Calculating the density of solutions of equations related to the P\'olya-Ostrowski group through Markov chains

Dario Spirito

arxiv:1803.04280 v1 · 2018-03-12 · math.NT · math.AC

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SDFPAQC4QJVCDGQZJ2EY265UOV}

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	2026-05-18T00:21:32.083785Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90caf0405c826a219a194e898d7bb475451b2b118c2cb3105daeefb3ab267f7f

Aliases

arxiv: 1803.04280 · arxiv_version: 1803.04280v1 · doi: 10.48550/arxiv.1803.04280 · pith_short_12: SDFPAQC4QJVC · pith_short_16: SDFPAQC4QJVCDGQZ · pith_short_8: SDFPAQC4

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/SDFPAQC4QJVCDGQZJ2EY265UOV \
  | 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: 90caf0405c826a219a194e898d7bb475451b2b118c2cb3105daeefb3ab267f7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21e48fed1969730b3f0579550cd1d5996cefdf1f74cdb74a44e28a6d0869d0b9",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-03-12T14:28:24Z",
    "title_canon_sha256": "4710813e50829e44a74a6450897f835aba10c56a0da3a44d6f4fffb425b61d83"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.04280",
    "kind": "arxiv",
    "version": 1
  }
}