Pith Number

pith:6ZPHORFG

pith:2016:6ZPHORFGBGZG35OZXQIYTMKMDG

not attested not anchored not stored refs pending

Localization of Cofibration Categories and Groupoid $C^*$-algebras

Karol Szumi{\l}o, Markus Land, Thomas Nikolaus

arxiv:1609.03805 v1 · 2016-09-13 · math.AT · math.CT · math.KT · math.OA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6ZPHORFGBGZG35OZXQIYTMKMDG}

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	2026-05-18T00:20:57.220528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f65e7744a609b26df5d9bc1189b14c1984ed246c34f0ba08a1a23fea99d4c595

Aliases

arxiv: 1609.03805 · arxiv_version: 1609.03805v1 · doi: 10.48550/arxiv.1609.03805 · pith_short_12: 6ZPHORFGBGZG · pith_short_16: 6ZPHORFGBGZG35OZ · pith_short_8: 6ZPHORFG

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/6ZPHORFGBGZG35OZXQIYTMKMDG \
  | 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: f65e7744a609b26df5d9bc1189b14c1984ed246c34f0ba08a1a23fea99d4c595

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fe25cb93229f09515b40bce04e18ecd6ec3c36c9eebf39d9b74f4f66ac9daa21",
    "cross_cats_sorted": [
      "math.CT",
      "math.KT",
      "math.OA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2016-09-13T12:50:13Z",
    "title_canon_sha256": "efa151ea3e8147f236a7317655bf69606506e558a781e6a3a5a8329120c07b42"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03805",
    "kind": "arxiv",
    "version": 1
  }
}