Pith Number

pith:5VJYXYS5

pith:2015:5VJYXYS5FHXPGKLX6UF5GK6EN5

not attested not anchored not stored refs pending

A New Generalized Cassini Determinant

Igor Urbiha, Ivica Martinjak

arxiv:1509.03226 v1 · 2015-09-10 · 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{5VJYXYS5FHXPGKLX6UF5GK6EN5}

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	2026-05-18T01:33:25.002159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ed538be25d29eef32977f50bd32bc46f4c3ecbf90049130dcbe790752011c7c1

Aliases

arxiv: 1509.03226 · arxiv_version: 1509.03226v1 · doi: 10.48550/arxiv.1509.03226 · pith_short_12: 5VJYXYS5FHXP · pith_short_16: 5VJYXYS5FHXPGKLX · pith_short_8: 5VJYXYS5

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/5VJYXYS5FHXPGKLX6UF5GK6EN5 \
  | 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: ed538be25d29eef32977f50bd32bc46f4c3ecbf90049130dcbe790752011c7c1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cc2f215764731e66c6751eab99f691dc98723f9428d39edfd61fd21e5bfb39da",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2015-09-10T16:52:33Z",
    "title_canon_sha256": "8f93c3270014f9a6579eb473a41da3e833c01ef70f6162e81e40d300acc93986"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1509.03226",
    "kind": "arxiv",
    "version": 1
  }
}