Pith Number

pith:GB4PIEN7

pith:2014:GB4PIEN7KDA44VFQXHM724NUHT

not attested not anchored not stored refs pending

Rota-Baxter operators on the polynomial algebras, integration and averaging operators

Li Guo, Markus Rosenkranz, Shanghua Zheng

arxiv:1407.5306 v1 · 2014-07-20 · math.RA · math.AC · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GB4PIEN7KDA44VFQXHM724NUHT}

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	2026-05-18T01:22:21.972914Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3078f411bf50c1ce54b0b9d9fd71b43cdca12713afb74e123146e0a4924b780a

Aliases

arxiv: 1407.5306 · arxiv_version: 1407.5306v1 · doi: 10.48550/arxiv.1407.5306 · pith_short_12: GB4PIEN7KDA4 · pith_short_16: GB4PIEN7KDA44VFQ · pith_short_8: GB4PIEN7

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/GB4PIEN7KDA44VFQXHM724NUHT \
  | 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: 3078f411bf50c1ce54b0b9d9fd71b43cdca12713afb74e123146e0a4924b780a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a886a6339376b05a3546a1940ba68e1a9fffb1f5673ae5fa02014ac9ccb4cabb",
    "cross_cats_sorted": [
      "math.AC",
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2014-07-20T16:33:31Z",
    "title_canon_sha256": "021c09c8be675f6eed4313e41d9185eb5ce4d2cef4539dc2fceb7c13ba27ca41"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.5306",
    "kind": "arxiv",
    "version": 1
  }
}