Pith Number

pith:7P3QXEBZ

pith:2012:7P3QXEBZMCAMZEPZDEKKS3SJFD

not attested not anchored not stored refs pending

On the existence of a derived equivalence between a Koszul algebra and its Yoneda algebra

E. N. Marcos, R. M. Aquino, Sonia Trepode

arxiv:1209.1806 v1 · 2012-09-09 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7P3QXEBZMCAMZEPZDEKKS3SJFD}

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	2026-05-18T03:45:54.303642Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbf70b90396080cc91f91914a96e4928d59b646dce420da4cb2fc5ab1315ce86

Aliases

arxiv: 1209.1806 · arxiv_version: 1209.1806v1 · doi: 10.48550/arxiv.1209.1806 · pith_short_12: 7P3QXEBZMCAM · pith_short_16: 7P3QXEBZMCAMZEPZ · pith_short_8: 7P3QXEBZ

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/7P3QXEBZMCAMZEPZDEKKS3SJFD \
  | 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: fbf70b90396080cc91f91914a96e4928d59b646dce420da4cb2fc5ab1315ce86

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1354cf5609e191492b587e8d3f54920aac1d682917e7968b92b00e9ad524ff5e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2012-09-09T15:23:50Z",
    "title_canon_sha256": "cc075089f2af2df796837045a36bbc6a0247b559dd06f9b80ca183316132f12d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1806",
    "kind": "arxiv",
    "version": 1
  }
}