Pith Number

pith:NNGSWSB6

pith:2012:NNGSWSB6IX7KWNZG5WSWISN7NZ

not attested not anchored not stored refs pending

Multitensor lifting and strictly unital higher category theory

Denis-Charles Cisinski, Mark Weber, Michael Batanin

arxiv:1209.2776 v2 · 2012-09-13 · 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{NNGSWSB6IX7KWNZG5WSWISN7NZ}

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	2026-05-18T03:13:10.784638Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6b4d2b483e45feab3726eda56449bf6e5420f1f3ea47f17034e2c89d39252f75

Aliases

arxiv: 1209.2776 · arxiv_version: 1209.2776v2 · doi: 10.48550/arxiv.1209.2776 · pith_short_12: NNGSWSB6IX7K · pith_short_16: NNGSWSB6IX7KWNZG · pith_short_8: NNGSWSB6

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/NNGSWSB6IX7KWNZG5WSWISN7NZ \
  | 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: 6b4d2b483e45feab3726eda56449bf6e5420f1f3ea47f17034e2c89d39252f75

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ab566e0c0c63289c79dbbf304fbf5ec1ed359a565bc05234ec927502a9b7f0eb",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2012-09-13T04:15:11Z",
    "title_canon_sha256": "16b34290a2c13efcad50effc36242a11b9565e0efc7e96229b0c5c0bedea4488"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.2776",
    "kind": "arxiv",
    "version": 2
  }
}