Pith Number

pith:U4QNIIUF

pith:2019:U4QNIIUFOPUHOAJLIT66BO2RHG

not attested not anchored not stored refs pending

Relative nonhomogeneous Koszul duality

Leonid Positselski

arxiv:1911.07402 v10 · 2019-11-18 · math.RA · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{U4QNIIUFOPUHOAJLIT66BO2RHG}

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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.

Cited by

1 paper in Pith

Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity

Receipt and verification

First computed	2026-07-05T03:57:59.508180Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a720d4228573e877012b44fde0bb51398a4c76a46aea09a75f547224221f8bbf

Aliases

arxiv: 1911.07402 · arxiv_version: 1911.07402v10 · doi: 10.48550/arxiv.1911.07402 · pith_short_12: U4QNIIUFOPUH · pith_short_16: U4QNIIUFOPUHOAJL · pith_short_8: U4QNIIUF

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/U4QNIIUFOPUHOAJLIT66BO2RHG \
  | 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: a720d4228573e877012b44fde0bb51398a4c76a46aea09a75f547224221f8bbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48b2a4e2de2242177c1b75bac47a6069f0386eb32cea856b8694049f3c9505cb",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RA",
    "submitted_at": "2019-11-18T02:55:51Z",
    "title_canon_sha256": "0614da14c88e5141e15c8bdaea2909f3464d0e80fc58fc896c7d1a7a94b8108f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1911.07402",
    "kind": "arxiv",
    "version": 10
  }
}