Pith Number

pith:Q423U2VL

pith:2011:Q423U2VL5KPGWDZJVTMZ3GSICT

not attested not anchored not stored refs pending

Homotopy Colimits of Algebras Over Cat-Operads and Iterated Loop Spaces

Manfred Stelzer, Rainer M. Vogt, Zbigniew Fiedorowicz

arxiv:1109.0265 v4 · 2011-09-01 · 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{Q423U2VL5KPGWDZJVTMZ3GSICT}

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	2026-05-18T03:17:14.926343Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8735ba6aabea9e6b0f29acd99d9a4814d75a9b713a715e8c6c9cf30dae4dc8a0

Aliases

arxiv: 1109.0265 · arxiv_version: 1109.0265v4 · doi: 10.48550/arxiv.1109.0265 · pith_short_12: Q423U2VL5KPG · pith_short_16: Q423U2VL5KPGWDZJ · pith_short_8: Q423U2VL

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/Q423U2VL5KPGWDZJVTMZ3GSICT \
  | 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: 8735ba6aabea9e6b0f29acd99d9a4814d75a9b713a715e8c6c9cf30dae4dc8a0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50772c7a30e68919c0f3d1adef319bac16600ffef4fd70a2b857634867dd0f66",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-09-01T19:15:49Z",
    "title_canon_sha256": "90fd5b6a26375f0012f2757637c7fdf4c9c391caa3743c679d06fdd631dce0ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1109.0265",
    "kind": "arxiv",
    "version": 4
  }
}