Pith Number

pith:XK5R552Q

pith:2011:XK5R552QLFSWCK3ZBMOW4S4YIP

not attested not anchored not stored refs pending

The Homotopy Theory of Simplicially Enriched Multicategories

Marcy Robertson

arxiv:1111.4146 v1 · 2011-11-17 · 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{XK5R552QLFSWCK3ZBMOW4S4YIP}

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	2026-05-18T04:08:05.597091Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

babb1ef7505965612b790b1d6e4b9843e8e570f848ad6aeba131fa9ae65f6a26

Aliases

arxiv: 1111.4146 · arxiv_version: 1111.4146v1 · doi: 10.48550/arxiv.1111.4146 · pith_short_12: XK5R552QLFSW · pith_short_16: XK5R552QLFSWCK3Z · pith_short_8: XK5R552Q

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/XK5R552QLFSWCK3ZBMOW4S4YIP \
  | 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: babb1ef7505965612b790b1d6e4b9843e8e570f848ad6aeba131fa9ae65f6a26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5d1fb5db872d7528052e52685972b2135ed851f4012cee3fe2efd6ce7f1eb444",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-11-17T16:46:20Z",
    "title_canon_sha256": "04df3263c993835366038649c99eeae575b25ce411eec2b536ae1a918fd01aa5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.4146",
    "kind": "arxiv",
    "version": 1
  }
}