Pith Number

pith:UYA5EKVR

pith:2012:UYA5EKVRS27UFL45666G23GS77

not attested not anchored not stored refs pending

Higher Koszul duality for associative algebras

Bruno Vallette, Vladimir Dotsenko

arxiv:1201.6509 v2 · 2012-01-31 · math.RA · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UYA5EKVRS27UFL45666G23GS77}

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	2026-05-18T03:27:21.376757Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a601d22ab196bf42af9df7bc6d6cd2ffd0f1cfd2167fc492e8916ca05481c989

Aliases

arxiv: 1201.6509 · arxiv_version: 1201.6509v2 · doi: 10.48550/arxiv.1201.6509 · pith_short_12: UYA5EKVRS27U · pith_short_16: UYA5EKVRS27UFL45 · pith_short_8: UYA5EKVR

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/UYA5EKVRS27UFL45666G23GS77 \
  | 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: a601d22ab196bf42af9df7bc6d6cd2ffd0f1cfd2167fc492e8916ca05481c989

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2621b642b8353b97353c252e89df1f2fed0419fc4e4f7b6a645f6f8693650f21",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2012-01-31T11:16:50Z",
    "title_canon_sha256": "a63f6e541edd0df3f6d45d2bbeefbd6d716916e78f29ca2192d7cb97e6034ce4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6509",
    "kind": "arxiv",
    "version": 2
  }
}