Pith Number

pith:QN4IPYML

pith:2025:QN4IPYMLL4ZLDYA7GUFYHGDGNM

not attested not anchored not stored refs pending

Examples of scalar extension Hopf algebroids over a universal enveloping algebra

Martina Stoji\'c, Zoran \v{S}koda

arxiv:2506.03125 v1 · 2025-06-03 · math.QA · 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{QN4IPYMLL4ZLDYA7GUFYHGDGNM}

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	2026-07-05T11:15:15.299405Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

837887e18b5f32b1e01f350b8398666b173ddb6aa1b01bd6730905f216836900

Aliases

arxiv: 2506.03125 · arxiv_version: 2506.03125v1 · doi: 10.48550/arxiv.2506.03125 · pith_short_12: QN4IPYMLL4ZL · pith_short_16: QN4IPYMLL4ZLDYA7 · pith_short_8: QN4IPYML

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/QN4IPYMLL4ZLDYA7GUFYHGDGNM \
  | 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: 837887e18b5f32b1e01f350b8398666b173ddb6aa1b01bd6730905f216836900

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "238bbdffdcb56a605a37fa9fec4d8a4ae5ce09336eaca8c9160a5e488143f415",
    "cross_cats_sorted": [
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.QA",
    "submitted_at": "2025-06-03T17:55:14Z",
    "title_canon_sha256": "fb4e68872dbe6e1ef875020d7fc6a370e1d5ad5266a94c0f5bfc09db48f869dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2506.03125",
    "kind": "arxiv",
    "version": 1
  }
}