Pith Number

pith:BQ5DJ423

pith:2016:BQ5DJ4233GGQTCRMI4HTDMPIHS

not attested not anchored not stored refs pending

Covering groupoids of categorical groups

Osman Mucuk, Tun\c{c}ar \c{S}ahan

arxiv:1601.07104 v1 · 2016-01-26 · 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{BQ5DJ4233GGQTCRMI4HTDMPIHS}

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	2026-05-18T01:21:57.454637Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0c3a34f35bd98d098a2c470f31b1e83ca5bea489a77cbb9a4bf5e8527efcfa01

Aliases

arxiv: 1601.07104 · arxiv_version: 1601.07104v1 · doi: 10.48550/arxiv.1601.07104 · pith_short_12: BQ5DJ4233GGQ · pith_short_16: BQ5DJ4233GGQTCRM · pith_short_8: BQ5DJ423

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/BQ5DJ4233GGQTCRMI4HTDMPIHS \
  | 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: 0c3a34f35bd98d098a2c470f31b1e83ca5bea489a77cbb9a4bf5e8527efcfa01

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2089ae44cc25974ab8a0fda11717262e8e16475d1ebc5f02d7789afac39a16b1",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-01-26T17:22:52Z",
    "title_canon_sha256": "a6552064602b1d4d1880a604fdc4f1c9744c00b6b34f6f4e400e624cd74f1feb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.07104",
    "kind": "arxiv",
    "version": 1
  }
}