Pith Number

pith:UBNHHVYB

pith:2025:UBNHHVYB6ESDATZBSQACJJ5ZN2

not attested not anchored not stored refs pending

The Combinatorial Nullstellensatz, Chevalley-Warning Theorem and weak Finitesatz in skew polynomial rings

Angelot Behajaina, Elad Paran, Gil Alon

arxiv:2508.07257 v1 · 2025-08-10 · math.AC · math.CO · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UBNHHVYB6ESDATZBSQACJJ5ZN2}

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	2026-07-05T11:53:28.527458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a05a73d701f124304f21940024a7b96e93192344a9b4467809cdd83ebf579243

Aliases

arxiv: 2508.07257 · arxiv_version: 2508.07257v1 · doi: 10.48550/arxiv.2508.07257 · pith_short_12: UBNHHVYB6ESD · pith_short_16: UBNHHVYB6ESDATZB · pith_short_8: UBNHHVYB

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/UBNHHVYB6ESDATZBSQACJJ5ZN2 \
  | 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: a05a73d701f124304f21940024a7b96e93192344a9b4467809cdd83ebf579243

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a457d79a7c4ef1602694bc788f6c8cc0622f27583d92758079f60b585f5d093d",
    "cross_cats_sorted": [
      "math.CO",
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2025-08-10T09:17:29Z",
    "title_canon_sha256": "f069c06709f9289e6382fd496a8c59247758abc86727818caa086ef078111e36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2508.07257",
    "kind": "arxiv",
    "version": 1
  }
}