Pith Number

pith:QJ6QLNYV

pith:2017:QJ6QLNYVGPXRCORGBX75BYVEFB

not attested not anchored not stored refs pending

New classes of examples satisfying the three matrix analog of Gerstenhaber's theorem

Jenna Rajchgot, Matthew Satriano

arxiv:1711.10109 v1 · 2017-11-28 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{QJ6QLNYVGPXRCORGBX75BYVEFB}

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	2026-05-18T00:29:23.373722Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

827d05b71533ef113a260dffd0e2a4285f74cfa711a5b332d09cac97f2e2cbe9

Aliases

arxiv: 1711.10109 · arxiv_version: 1711.10109v1 · doi: 10.48550/arxiv.1711.10109 · pith_short_12: QJ6QLNYVGPXR · pith_short_16: QJ6QLNYVGPXRCORG · pith_short_8: QJ6QLNYV

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/QJ6QLNYVGPXRCORGBX75BYVEFB \
  | 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: 827d05b71533ef113a260dffd0e2a4285f74cfa711a5b332d09cac97f2e2cbe9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2a33208788c1b1165911c0f38156fc740f99f2a6a64c37bd2720c958d0009226",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2017-11-28T04:06:03Z",
    "title_canon_sha256": "583cbf8eb814985680bbb5abecd20f76a1263ab7902540bf8feeeb3548c6a7c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.10109",
    "kind": "arxiv",
    "version": 1
  }
}