Pith Number

pith:HU52SOMI

pith:2016:HU52SOMIB732VQH6QTYECT7IBC

not attested not anchored not stored refs pending

Exact completion of path categories and algebraic set theory -- Part I: Exact completion of path categories

Benno van den Berg, Ieke Moerdijk

arxiv:1603.02456 v4 · 2016-03-08 · math.CT · math.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HU52SOMIB732VQH6QTYECT7IBC}

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	2026-05-18T00:42:07.788341Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d3ba939880ff7aac0fe84f0414fe8089cc1b56c8847d2b94f538c4ca0e56476

Aliases

arxiv: 1603.02456 · arxiv_version: 1603.02456v4 · doi: 10.48550/arxiv.1603.02456 · pith_short_12: HU52SOMIB732 · pith_short_16: HU52SOMIB732VQH6 · pith_short_8: HU52SOMI

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/HU52SOMIB732VQH6QTYECT7IBC \
  | 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: 3d3ba939880ff7aac0fe84f0414fe8089cc1b56c8847d2b94f538c4ca0e56476

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6f8388a6fb05c8100041d3623045d649e5237df120dfc16bf64919823f1a2785",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-03-08T10:13:10Z",
    "title_canon_sha256": "ea96607c822919a492fd4463acc9ca522241c3b19bcadc3b25580661fbc2b793"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.02456",
    "kind": "arxiv",
    "version": 4
  }
}