Pith Number

pith:W5WWS3XI

pith:2025:W5WWS3XIRJBNSX55ZXLF6NX6YI

not attested not anchored not stored refs pending

Strong uniqueness of enhancements for the dual numbers: a case study

Alberto Canonaco, Amnon Neeman, Paolo Stellari

arxiv:2505.10374 v1 · 2025-05-15 · math.AG · math.AC · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{W5WWS3XIRJBNSX55ZXLF6NX6YI}

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	2026-07-05T11:03:37.470480Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b76d696ee88a42d95fbdcdd65f36fec20f375981da1ecd285f0d2356b20aabea

Aliases

arxiv: 2505.10374 · arxiv_version: 2505.10374v1 · doi: 10.48550/arxiv.2505.10374 · pith_short_12: W5WWS3XIRJBN · pith_short_16: W5WWS3XIRJBNSX55 · pith_short_8: W5WWS3XI

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/W5WWS3XIRJBNSX55ZXLF6NX6YI \
  | 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: b76d696ee88a42d95fbdcdd65f36fec20f375981da1ecd285f0d2356b20aabea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd2913b6f5ac4dbf8c92df625bb4277561e12665fb2cd8fc56e4a1bcad5d49d1",
    "cross_cats_sorted": [
      "math.AC",
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2025-05-15T14:57:41Z",
    "title_canon_sha256": "bb9907cc9dad4d2d4f75cfa2ea634ee46ae8e324b45dccf423494012641da4cd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.10374",
    "kind": "arxiv",
    "version": 1
  }
}