Pith Number

pith:PIIVJKF2

pith:2015:PIIVJKF2YRGVRSDW3ROKX4FIYJ

not attested not anchored not stored refs pending

A non-Golod ring with a trivial product on its Koszul homology

Lukas Katth\"an

arxiv:1511.04883 v2 · 2015-11-16 · math.AC · 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{PIIVJKF2YRGVRSDW3ROKX4FIYJ}

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	2026-05-18T00:51:52.143863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a1154a8bac44d58c876dc5cabf0a8c25a3d5bdcb23d0585180f3f090db2e1fc

Aliases

arxiv: 1511.04883 · arxiv_version: 1511.04883v2 · doi: 10.48550/arxiv.1511.04883 · pith_short_12: PIIVJKF2YRGV · pith_short_16: PIIVJKF2YRGVRSDW · pith_short_8: PIIVJKF2

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/PIIVJKF2YRGVRSDW3ROKX4FIYJ \
  | 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: 7a1154a8bac44d58c876dc5cabf0a8c25a3d5bdcb23d0585180f3f090db2e1fc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a587edfee8b3250188f6ad65f4e6e4df22bc2fd7446afefe64719ad5a1d53f3c",
    "cross_cats_sorted": [
      "math.AT",
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-11-16T09:42:33Z",
    "title_canon_sha256": "6b450aa9cc3847116c9e287890a170d457d17ce68105fdce944ad876f947b666"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04883",
    "kind": "arxiv",
    "version": 2
  }
}