Pith Number

pith:V3WORXA2

pith:2018:V3WORXA22XX4BURQRA544GW2TP

not attested not anchored not stored refs pending

Cluster algebras with Grassmann variables

Michael Shapiro, Valentin Ovsienko

arxiv:1809.01860 v2 · 2018-09-06 · 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{V3WORXA22XX4BURQRA544GW2TP}

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	2026-05-17T23:52:33.836606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

aeece8dc1ad5efc0d230883bce1ada9bc54e26a5026f7a3dba79e0838ac18260

Aliases

arxiv: 1809.01860 · arxiv_version: 1809.01860v2 · doi: 10.48550/arxiv.1809.01860 · pith_short_12: V3WORXA22XX4 · pith_short_16: V3WORXA22XX4BURQ · pith_short_8: V3WORXA2

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/V3WORXA22XX4BURQRA544GW2TP \
  | 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: aeece8dc1ad5efc0d230883bce1ada9bc54e26a5026f7a3dba79e0838ac18260

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "519afceb42a83f3aada3ea928fb564d3a831d99cdf5a7958d4d4d6fef9424b5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2018-09-06T07:46:33Z",
    "title_canon_sha256": "cae8cf187032cb61403b0799dc3bf49118d20e26ecde1cfa4e96a51156b752ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.01860",
    "kind": "arxiv",
    "version": 2
  }
}