Pith Number

pith:BGP4T35G

pith:2016:BGP4T35G6DKUNW7QZJWUCLFVBJ

not attested not anchored not stored refs pending

Detecting Koszulness and related homological properties from the algebra structure of Koszul homology

Amanda Croll, Anjan Gupta, Denise Rangel Tracy, Gabriel Sosa, Justin Hoffmeier, Liana M. \c{S}ega, Peder Thompson, Roger Dellaca, Vivek Mukundan

arxiv:1611.04001 v2 · 2016-11-12 · 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{BGP4T35G6DKUNW7QZJWUCLFVBJ}

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	2026-05-18T00:35:05.070667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

099fc9efa6f0d546dbf0ca6d412cb50a575b8685edce1171faee30e6452c1e49

Aliases

arxiv: 1611.04001 · arxiv_version: 1611.04001v2 · doi: 10.48550/arxiv.1611.04001 · pith_short_12: BGP4T35G6DKU · pith_short_16: BGP4T35G6DKUNW7Q · pith_short_8: BGP4T35G

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/BGP4T35G6DKUNW7QZJWUCLFVBJ \
  | 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: 099fc9efa6f0d546dbf0ca6d412cb50a575b8685edce1171faee30e6452c1e49

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d5b03bd7fae4042fb60ba5c83e3da739eca7c19fa08685791cd0a428e2d10f48",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2016-11-12T14:06:04Z",
    "title_canon_sha256": "050d50669524aefe1fc02dbc99f822791abe62818f3c43d39bb6c4e1c8d119e0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1611.04001",
    "kind": "arxiv",
    "version": 2
  }
}