Pith Number

pith:37UKKDYG

pith:2009:37UKKDYGUSZFNYHPHJPUHVRJFT

not attested not anchored not stored refs pending

Operads of natural operations I: Lattice paths, braces and Hochschild cochains

Clemens Berger, Martin Markl, Michael Batanin

arxiv:0906.4097 v2 · 2009-06-22 · 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{37UKKDYGUSZFNYHPHJPUHVRJFT}

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	2026-05-18T03:48:59.421575Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dfe8a50f06a4b256e0ef3a5f43d6292ce1f4295ad1a8a25363bc48a175703bbc

Aliases

arxiv: 0906.4097 · arxiv_version: 0906.4097v2 · doi: 10.48550/arxiv.0906.4097 · pith_short_12: 37UKKDYGUSZF · pith_short_16: 37UKKDYGUSZFNYHP · pith_short_8: 37UKKDYG

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/37UKKDYGUSZFNYHPHJPUHVRJFT \
  | 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: dfe8a50f06a4b256e0ef3a5f43d6292ce1f4295ad1a8a25363bc48a175703bbc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "94365c272c461bc4c505add0ef7bd6952b52f8ba74aae7044b3c109b7f2d6c88",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-06-22T19:44:02Z",
    "title_canon_sha256": "6b7ee6ffa0892b970328a7823387fafb61df67970e3f7f748c3b084bc7fbf67f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.4097",
    "kind": "arxiv",
    "version": 2
  }
}