Pith Number

pith:SPDX765J

pith:2013:SPDX765J66222GXK4VIATCJKGO

not attested not anchored not stored refs pending

Gr\"obner-Shirshov Bases for Commutative Algebras with Multiple Operators and Free Commutative Rota-Baxter Algebras

Jianjun Qiu

arxiv:1301.5018 v1 · 2013-01-18 · 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{SPDX765J66222GXK4VIATCJKGO}

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	2026-05-18T03:35:53.290969Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93c77ffba9f7b5ad1aeae55009892a33bb566ee7f31567eb2a8f57bc5c27b064

Aliases

arxiv: 1301.5018 · arxiv_version: 1301.5018v1 · doi: 10.48550/arxiv.1301.5018 · pith_short_12: SPDX765J6622 · pith_short_16: SPDX765J66222GXK · pith_short_8: SPDX765J

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/SPDX765J66222GXK4VIATCJKGO \
  | 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: 93c77ffba9f7b5ad1aeae55009892a33bb566ee7f31567eb2a8f57bc5c27b064

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "053c115c140fe6e84dca6259ee4001a6eb04efa77de48ade3ca0cee348b658b6",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/3.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-01-18T09:51:51Z",
    "title_canon_sha256": "62eae550f1709509973daa07b15f21af21a9487bb604373d0d69e9a5213f9e1c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.5018",
    "kind": "arxiv",
    "version": 1
  }
}