Pith Number

pith:VW5NAZNJ

pith:2013:VW5NAZNJ2DSET7LLGTDN73R2VR

not attested not anchored not stored refs pending

Gr\"obner-Shirshov bases for the non-symmetric operads of dendriform algebras and quadri-algebras (unabridged version)

Sara Madariaga

arxiv:1304.5184 v2 · 2013-04-18 · 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{VW5NAZNJ2DSET7LLGTDN73R2VR}

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	2026-05-18T03:11:09.257295Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adbad065a9d0e449fd6b34c6dfee3aac58942b2b15281209a8c4d68230871b64

Aliases

arxiv: 1304.5184 · arxiv_version: 1304.5184v2 · doi: 10.48550/arxiv.1304.5184 · pith_short_12: VW5NAZNJ2DSE · pith_short_16: VW5NAZNJ2DSET7LL · pith_short_8: VW5NAZNJ

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/VW5NAZNJ2DSET7LLGTDN73R2VR \
  | 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: adbad065a9d0e449fd6b34c6dfee3aac58942b2b15281209a8c4d68230871b64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e28534b9acf1ed11bc22424fdd46b38e907032055fb58051b488d69af499a3e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2013-04-18T16:50:01Z",
    "title_canon_sha256": "70d7377a304d5a1df84123c8daa63267caddc62bce9baa101098e90f4f276544"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1304.5184",
    "kind": "arxiv",
    "version": 2
  }
}