Pith Number

pith:OOM5JUNR

pith:2013:OOM5JUNRDBXMUB3ZBGCSQCCRT5

not attested not anchored not stored refs pending

Construction of free commutative integro-differential algebras by the method of Gr\"{o}bner-Shirshov bases

Li Guo, Shanghua Zheng, Xing Gao

arxiv:1302.0041 v1 · 2013-02-01 · math.AC · math.CA · 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{OOM5JUNRDBXMUB3ZBGCSQCCRT5}

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	2026-05-18T02:50:13.563020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7399d4d1b1186eca077909852808519f41e9fa61dcdf886325ba842f6838455a

Aliases

arxiv: 1302.0041 · arxiv_version: 1302.0041v1 · doi: 10.48550/arxiv.1302.0041 · pith_short_12: OOM5JUNRDBXM · pith_short_16: OOM5JUNRDBXMUB3Z · pith_short_8: OOM5JUNR

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/OOM5JUNRDBXMUB3ZBGCSQCCRT5 \
  | 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: 7399d4d1b1186eca077909852808519f41e9fa61dcdf886325ba842f6838455a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dd33dfb673b9e0817cc01871b4cad9aebf402c2ede4c8e6a2d5430aea1a95db9",
    "cross_cats_sorted": [
      "math.CA",
      "math.QA",
      "math.RA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2013-02-01T00:00:01Z",
    "title_canon_sha256": "efc537b70fb43cd5fa319cfce3c5057f29f4aed41afa17aadc6dad438aa85ddc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.0041",
    "kind": "arxiv",
    "version": 1
  }
}