Pith Number

pith:UI5UWQAT

pith:2018:UI5UWQATJ66GPCCZTQLAH2QFNX

not attested not anchored not stored refs pending

M\"obius-Frobenius maps on irreducible polynomials

Daniela Oliveira, F.E. Brochero Mart\'inez, Lucas Reis

arxiv:1812.08900 v1 · 2018-12-21 · 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{UI5UWQATJ66GPCCZTQLAH2QFNX}

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	2026-05-17T23:57:45.964712Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a23b4b40134fbc6788599c1603ea056debc7300366cd914837bc312f0067fe8b

Aliases

arxiv: 1812.08900 · arxiv_version: 1812.08900v1 · doi: 10.48550/arxiv.1812.08900 · pith_short_12: UI5UWQATJ66G · pith_short_16: UI5UWQATJ66GPCCZ · pith_short_8: UI5UWQAT

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/UI5UWQATJ66GPCCZTQLAH2QFNX \
  | 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: a23b4b40134fbc6788599c1603ea056debc7300366cd914837bc312f0067fe8b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9be6005324d9dbe33b9bce21195e8920fbe369b7fa548a263a178d17612de0c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2018-12-21T00:26:00Z",
    "title_canon_sha256": "03b9679a92a9349f63eeb47ec3f6b2933899b56c18e6d57e998826d8cdb6cd6f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.08900",
    "kind": "arxiv",
    "version": 1
  }
}