Pith Number

pith:SPNGIHXO

pith:2026:SPNGIHXOBPRLGASUKCEKQQHWP6

not attested not anchored not stored refs pending

Generalizing a family of scattered quadrinomials in $\mathbb{F}_{q^{2t}}[X]$

Alessandro Giannoni, Giovanni Giuseppe Grimaldi, Giovanni Longobardi, Marco Timpanella

arxiv:2601.09415 v4 · 2026-01-14 · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SPNGIHXOBPRLGASUKCEKQQHWP6}

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	2026-07-17T00:20:43.197140Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93da641eee0be2b302545088a840f67f8c986832c24accb6c90d194ec393aaca

Aliases

arxiv: 2601.09415 · arxiv_version: 2601.09415v4 · doi: 10.48550/arxiv.2601.09415 · pith_short_12: SPNGIHXOBPRL · pith_short_16: SPNGIHXOBPRLGASU · pith_short_8: SPNGIHXO

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/SPNGIHXOBPRLGASUKCEKQQHWP6 \
  | 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: 93da641eee0be2b302545088a840f67f8c986832c24accb6c90d194ec393aaca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8e4bceaa16cafabb6061a8553bd66e43b7c1d77c880c309e6abb7b35cc1830d0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2026-01-14T12:09:11Z",
    "title_canon_sha256": "7686a85c38c6db6b9f71f89a867ea2f997bf607ca38c55a4385ff8c4ce27f51e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.09415",
    "kind": "arxiv",
    "version": 4
  }
}