Pith Number

pith:IEX43BFZ

pith:2026:IEX43BFZS2R7JZD3GZTXOLDTZW

not attested not anchored not stored refs pending

Toward a unified theory for common affine roots of general sets of multivariate polynomials

Olav Geil

arxiv:2601.01004 v5 · 2026-01-02 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IEX43BFZS2R7JZD3GZTXOLDTZW}

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	2026-05-20T00:05:39.816009Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

412fcd84b996a3f4e47b3667772c73cdbe26368a106a45daf7136f750817f71b

Aliases

arxiv: 2601.01004 · arxiv_version: 2601.01004v5 · doi: 10.48550/arxiv.2601.01004 · pith_short_12: IEX43BFZS2R7 · pith_short_16: IEX43BFZS2R7JZD3 · pith_short_8: IEX43BFZ

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/IEX43BFZS2R7JZD3GZTXOLDTZW \
  | 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: 412fcd84b996a3f4e47b3667772c73cdbe26368a106a45daf7136f750817f71b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "29529b074e266e376f0d7db0b2c7eb38568720fe260892424ae24fad8d21dca6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2026-01-02T23:36:04Z",
    "title_canon_sha256": "43420e8632797934ad1158776b718ed32f06ab1b90f01047f85190287da0280a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.01004",
    "kind": "arxiv",
    "version": 5
  }
}