Pith Number

pith:RMH7DHQO

pith:2015:RMH7DHQOOZ2IZBG4ABJNDPO7UA

not attested not anchored not stored refs pending

Koszul duality and homotopy theory of curved Lie algebras

James Maunder

arxiv:1512.01975 v2 · 2015-12-07 · math.AT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RMH7DHQOOZ2IZBG4ABJNDPO7UA}

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	2026-05-18T00:44:58.247451Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8b0ff19e0e76748c84dc0052d1bddfa0370595ba62017ab677e460610a120c8c

Aliases

arxiv: 1512.01975 · arxiv_version: 1512.01975v2 · doi: 10.48550/arxiv.1512.01975 · pith_short_12: RMH7DHQOOZ2I · pith_short_16: RMH7DHQOOZ2IZBG4 · pith_short_8: RMH7DHQO

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/RMH7DHQOOZ2IZBG4ABJNDPO7UA \
  | 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: 8b0ff19e0e76748c84dc0052d1bddfa0370595ba62017ab677e460610a120c8c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0c803be6cbfee63a02c5b771c52350fd47032d10cd9d97d650e24d83a9231cc9",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-12-07T10:57:24Z",
    "title_canon_sha256": "a33a9fa2d0d8ade9d60e68fc7c061b9cc0529b6c9478e97792f03b7ed15b01a4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.01975",
    "kind": "arxiv",
    "version": 2
  }
}