Pith Number

pith:BQ2DCCOD

pith:2009:BQ2DCCODIFYGZFPN5HCWGU4AJJ

not attested not anchored not stored refs pending

The lattice path operad and Hochschild cochains

Clemens Berger, Michael Batanin

arxiv:0902.0556 v2 · 2009-02-03 · math.AT · 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{BQ2DCCODIFYGZFPN5HCWGU4AJJ}

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	2026-05-18T01:17:57.734678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c343109c341706c95ede9c56353804a4abc1177f4390871e98c12137c9fa574

Aliases

arxiv: 0902.0556 · arxiv_version: 0902.0556v2 · doi: 10.48550/arxiv.0902.0556 · pith_short_12: BQ2DCCODIFYG · pith_short_16: BQ2DCCODIFYGZFPN · pith_short_8: BQ2DCCOD

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/BQ2DCCODIFYGZFPN5HCWGU4AJJ \
  | 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: 0c343109c341706c95ede9c56353804a4abc1177f4390871e98c12137c9fa574

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dfea18c45b7db318efc4b7ef1de811b00460627e3237a49026a7d03d4ba87090",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-02-03T17:21:25Z",
    "title_canon_sha256": "4f9c44a3cd89c65a649bad39da768464d0e46a3156240a95f1c019e28ba31c0c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.0556",
    "kind": "arxiv",
    "version": 2
  }
}