Pith Number

pith:Y56VXJHD

pith:2018:Y56VXJHDDF2MQJPCXQTM4HVVHJ

not attested not anchored not stored refs pending

On some properties of LS algebras

Rocco Chiriv\`i

arxiv:1809.10191 v3 · 2018-09-26 · math.AC · math.AG · math.CO · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Y56VXJHDDF2MQJPCXQTM4HVVHJ}

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	2026-05-17T23:59:32.206813Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c77d5ba4e31974c825e2bc26ce1eb53a73945bde65ae4f9997b37daf59092d7d

Aliases

arxiv: 1809.10191 · arxiv_version: 1809.10191v3 · doi: 10.48550/arxiv.1809.10191 · pith_short_12: Y56VXJHDDF2M · pith_short_16: Y56VXJHDDF2MQJPC · pith_short_8: Y56VXJHD

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/Y56VXJHDDF2MQJPCXQTM4HVVHJ \
  | 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: c77d5ba4e31974c825e2bc26ce1eb53a73945bde65ae4f9997b37daf59092d7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3d796398e94407b5d3cbd49f78a2e66d44b447ec175d5abac52a2490252303f0",
    "cross_cats_sorted": [
      "math.AG",
      "math.CO",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2018-09-26T19:00:34Z",
    "title_canon_sha256": "ef31305d45ea3cb8a9b7173d3a7a18a99973b19e750953d8e99f5ad051b5129a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1809.10191",
    "kind": "arxiv",
    "version": 3
  }
}