Pith Number

pith:Z5X43UBK

pith:2024:Z5X43UBKXJ3ZLNFZMEWW2FHRQE

not attested not anchored not stored refs pending

Chain level Koszul duality between the Gravity and Hypercommutative operads

Paolo Salvatore, Tommaso Rossi

arxiv:2412.03474 v1 · 2024-12-04 · math.AT · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{Z5X43UBKXJ3ZLNFZMEWW2FHRQE}

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	2026-07-05T09:44:30.115640Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cf6fcdd02aba7795b4b9612d6d14f1810117fc8dc65bbe63b1722011caaf779b

Aliases

arxiv: 2412.03474 · arxiv_version: 2412.03474v1 · doi: 10.48550/arxiv.2412.03474 · pith_short_12: Z5X43UBKXJ3Z · pith_short_16: Z5X43UBKXJ3ZLNFZ · pith_short_8: Z5X43UBK

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/Z5X43UBKXJ3ZLNFZMEWW2FHRQE \
  | 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: cf6fcdd02aba7795b4b9612d6d14f1810117fc8dc65bbe63b1722011caaf779b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "25f96a669f9fc9e5b53e5203b475508d7d856dda0d69ff8a13ab097a42045106",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2024-12-04T17:02:17Z",
    "title_canon_sha256": "8d2e5e61ba9dd6b638b6586220eaf83fc91d6c8b54d4659ae591b9073e06506a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2412.03474",
    "kind": "arxiv",
    "version": 1
  }
}