Pith Number

pith:2HDV7QSJ

pith:2013:2HDV7QSJMDWA27UEZAI5GYV3FK

not attested not anchored not stored refs pending

(Contravariant) Koszul duality for DG algebras

Luchezar L. Avramov

arxiv:1305.4230 v1 · 2013-05-18 · math.KT · math.RA · 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{2HDV7QSJMDWA27UEZAI5GYV3FK}

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	2026-05-18T03:25:24.470292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d1c75fc24960ec0d7e84c811d362bb2a96ce61d074a8c35d68f5245aae7e0fb5

Aliases

arxiv: 1305.4230 · arxiv_version: 1305.4230v1 · doi: 10.48550/arxiv.1305.4230 · pith_short_12: 2HDV7QSJMDWA · pith_short_16: 2HDV7QSJMDWA27UE · pith_short_8: 2HDV7QSJ

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/2HDV7QSJMDWA27UEZAI5GYV3FK \
  | 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: d1c75fc24960ec0d7e84c811d362bb2a96ce61d074a8c35d68f5245aae7e0fb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be7c0d84c251dbd3aab7e647be4f9ebfc4410a5f06e56139b7c2407f0fa6e34b",
    "cross_cats_sorted": [
      "math.RA",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2013-05-18T05:47:39Z",
    "title_canon_sha256": "1f663f07d46e108a27b6d7a88d1d50e40d224fd96646710a0826835ca17f70f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.4230",
    "kind": "arxiv",
    "version": 1
  }
}