Pith Number

pith:2RZGNOEQ

pith:2017:2RZGNOEQA5AY3HCK4AOWEW7O72

not attested not anchored not stored refs pending

Growth in varieties of multioperator algebras and Groebner bases in operads

Dmitri Piontkovski

arxiv:1705.03356 v2 · 2017-05-05 · math.RA · math.AT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2RZGNOEQA5AY3HCK4AOWEW7O72}

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	2026-05-18T00:27:52.549357Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d47266b89007418d9c4ae01d625beefe988863c749aa43071d899dd0674c6432

Aliases

arxiv: 1705.03356 · arxiv_version: 1705.03356v2 · doi: 10.48550/arxiv.1705.03356 · pith_short_12: 2RZGNOEQA5AY · pith_short_16: 2RZGNOEQA5AY3HCK · pith_short_8: 2RZGNOEQ

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/2RZGNOEQA5AY3HCK4AOWEW7O72 \
  | 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: d47266b89007418d9c4ae01d625beefe988863c749aa43071d899dd0674c6432

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "45b86047bbc12088bf19ccb9bd0f2b05d135f631148a8a6b058863b76d12a265",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-05-05T22:33:14Z",
    "title_canon_sha256": "f6f7964a8a09bd069923c6ec4a48ffa7a58e0c35983682388a04df9cbed7e9ed"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.03356",
    "kind": "arxiv",
    "version": 2
  }
}