Pith Number

pith:NFDCX7DU

pith:2015:NFDCX7DU6QXHFLW3PQQDPB5JDW

not attested not anchored not stored refs pending

The Berkovits Complex and Semi-free Extensions of Koszul Algebras

Andrew Tonks, Imma G\'alvez, Vassily Gorbounov, Zain Shaikh

arxiv:1504.07489 v2 · 2015-04-28 · math.AC · math-ph · math.MP · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NFDCX7DU6QXHFLW3PQQDPB5JDW}

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	2026-05-18T01:35:10.231945Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69462bfc74f42e72aedb7c203787a91daea94e490306c13df6645e97d2560936

Aliases

arxiv: 1504.07489 · arxiv_version: 1504.07489v2 · doi: 10.48550/arxiv.1504.07489 · pith_short_12: NFDCX7DU6QXH · pith_short_16: NFDCX7DU6QXHFLW3 · pith_short_8: NFDCX7DU

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/NFDCX7DU6QXHFLW3PQQDPB5JDW \
  | 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: 69462bfc74f42e72aedb7c203787a91daea94e490306c13df6645e97d2560936

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1100dd2dce3f8cae4ade77717b6981637a8d9cb73d96ed5259f83355e5e92686",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP",
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2015-04-28T14:17:26Z",
    "title_canon_sha256": "3bfd7705fb025070341e4f5256d44b4875b28ff9778fe8ad150337af27a4903d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1504.07489",
    "kind": "arxiv",
    "version": 2
  }
}