Pith Number

pith:UDBYSYLW

pith:2017:UDBYSYLW2HJOIJZGC2AETJULBI

not attested not anchored not stored refs pending

Permutation polynomials, fractional polynomials, and algebraic curves

Daniele Bartoli, Massimo Giulietti

arxiv:1708.04841 v1 · 2017-08-16 · math.CO · 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{UDBYSYLW2HJOIJZGC2AETJULBI}

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	2026-05-18T00:37:57.211246Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a0c3896176d1d2e42726168049a68b0a12de87e25933531dd83409b658d164f1

Aliases

arxiv: 1708.04841 · arxiv_version: 1708.04841v1 · doi: 10.48550/arxiv.1708.04841 · pith_short_12: UDBYSYLW2HJO · pith_short_16: UDBYSYLW2HJOIJZG · pith_short_8: UDBYSYLW

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/UDBYSYLW2HJOIJZGC2AETJULBI \
  | 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: a0c3896176d1d2e42726168049a68b0a12de87e25933531dd83409b658d164f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1e82264e129af7bda98ac0efe4f8c946682bba897128ab8ccb2bb0e42e9c2425",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2017-08-16T10:42:48Z",
    "title_canon_sha256": "925b6b60134b623a49fec983fe922bd01c97189f946533be5b5d48e2aa55a5b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.04841",
    "kind": "arxiv",
    "version": 1
  }
}