Pith Number

pith:56W5TOUG

pith:2011:56W5TOUG34SFUESMDGVRA6WVEX

not attested not anchored not stored refs pending

Explicit Homotopy Equivalences Between Some Operads

Eduardo Hoefel

arxiv:1110.3116 v1 · 2011-10-14 · math.AT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{56W5TOUG34SFUESMDGVRA6WVEX}

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	2026-05-18T04:10:58.027900Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efadd9ba86df245a124c19ab107ad525dc20078c6c68303151439395b2c8424f

Aliases

arxiv: 1110.3116 · arxiv_version: 1110.3116v1 · doi: 10.48550/arxiv.1110.3116 · pith_short_12: 56W5TOUG34SF · pith_short_16: 56W5TOUG34SFUESM · pith_short_8: 56W5TOUG

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/56W5TOUG34SFUESMDGVRA6WVEX \
  | 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: efadd9ba86df245a124c19ab107ad525dc20078c6c68303151439395b2c8424f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e3a8b44713b02630ee5279ea503a3ae6cb109e3e1ec2120412b4a720ad08f340",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-10-14T02:50:27Z",
    "title_canon_sha256": "7f9b31edb0411544400508261c688ad688c80e041b0ebf598a7d79d307e55b46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.3116",
    "kind": "arxiv",
    "version": 1
  }
}