Pith Number

pith:VPXY7WTJ

pith:2017:VPXY7WTJD7IT62CU2UL2XNR3RV

not attested not anchored not stored refs pending

The Koszul Property for Graded Twisted Tensor Products

Andrew Conner, Peter Goetz

arxiv:1708.02514 v2 · 2017-08-08 · math.RA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VPXY7WTJD7IT62CU2UL2XNR3RV}

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	2026-05-18T00:14:16.368743Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

abef8fda691fd13f6854d517abb63b8d652a96eb1cb573021799b222a008a289

Aliases

arxiv: 1708.02514 · arxiv_version: 1708.02514v2 · doi: 10.48550/arxiv.1708.02514 · pith_short_12: VPXY7WTJD7IT · pith_short_16: VPXY7WTJD7IT62CU · pith_short_8: VPXY7WTJ

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/VPXY7WTJD7IT62CU2UL2XNR3RV \
  | 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: abef8fda691fd13f6854d517abb63b8d652a96eb1cb573021799b222a008a289

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98f3688c6e65e04e266123dce5210a551c4a54ee338c234f1344df7be19946ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2017-08-08T15:09:40Z",
    "title_canon_sha256": "166ec0e84b5f9554cd59f8639648efa1e0f7b03d2acaeef791b2fc7d85c83ddd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1708.02514",
    "kind": "arxiv",
    "version": 2
  }
}