Pith Number

pith:OUEZCLOF

pith:2012:OUEZCLOFGAMUDORUVPU4DGNTNB

not attested not anchored not stored refs pending

On the homotopy theory of enriched categories

Clemens Berger, Ieke Moerdijk

arxiv:1201.2134 v3 · 2012-01-10 · 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{OUEZCLOFGAMUDORUVPU4DGNTNB}

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	2026-05-18T01:17:57.665537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7509912dc5301941ba34abe9c199b3686411dc32c991b1c8b6e12f272f8895fa

Aliases

arxiv: 1201.2134 · arxiv_version: 1201.2134v3 · doi: 10.48550/arxiv.1201.2134 · pith_short_12: OUEZCLOFGAMU · pith_short_16: OUEZCLOFGAMUDORU · pith_short_8: OUEZCLOF

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/OUEZCLOFGAMUDORUVPU4DGNTNB \
  | 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: 7509912dc5301941ba34abe9c199b3686411dc32c991b1c8b6e12f272f8895fa

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "004fafeec18a51281206f6d3a28423d31f2de9039c15b361ffbb7dab05bbbd6e",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-01-10T18:30:40Z",
    "title_canon_sha256": "bdcb6f41586570abe092d3b7d33f6cf0fa8fc9a9518c78d4aaa768fa813ecd1d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.2134",
    "kind": "arxiv",
    "version": 3
  }
}