Pith Number

pith:27BWADXS

pith:2009:27BWADXSNXOPJ3UBO5JPCWNYB6

not attested not anchored not stored refs pending

Dendroidal sets as models for homotopy operads

Denis-Charles Cisinski, Ieke Moerdijk

arxiv:0902.1954 v2 · 2009-02-11 · math.CT · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{27BWADXSNXOPJ3UBO5JPCWNYB6}

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	2026-05-18T02:55:36.787706Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d7c3600ef26ddcf4ee817752f159b80fa1812753b0193bb091798ea398047ffe

Aliases

arxiv: 0902.1954 · arxiv_version: 0902.1954v2 · doi: 10.48550/arxiv.0902.1954 · pith_short_12: 27BWADXSNXOP · pith_short_16: 27BWADXSNXOPJ3UB · pith_short_8: 27BWADXS

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/27BWADXSNXOPJ3UBO5JPCWNYB6 \
  | 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: d7c3600ef26ddcf4ee817752f159b80fa1812753b0193bb091798ea398047ffe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d859ec9040b7a3feeace4dacf309baea43c1f04e030995958227fdb9e796c91d",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2009-02-11T20:10:31Z",
    "title_canon_sha256": "aab157c5044c51810c1a2d5c82e0e7838c145b6d34514311de51af75405a6641"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0902.1954",
    "kind": "arxiv",
    "version": 2
  }
}