Pith Number

pith:LVBS3NB6

pith:2013:LVBS3NB66RNY3OG6D7QQUVCD6V

not attested not anchored not stored refs pending

Homotopy colimits of classifying spaces of abelian subgroups of a finite group

Cihan Okay

arxiv:1307.2950 v3 · 2013-07-11 · math.AT · math.GR · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LVBS3NB66RNY3OG6D7QQUVCD6V}

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	2026-05-18T02:31:27.518855Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d432db43ef45b8db8de1fe10a5443f5530d8686cc9f10b44d3c9938d77c288e

Aliases

arxiv: 1307.2950 · arxiv_version: 1307.2950v3 · doi: 10.48550/arxiv.1307.2950 · pith_short_12: LVBS3NB66RNY · pith_short_16: LVBS3NB66RNY3OG6 · pith_short_8: LVBS3NB6

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/LVBS3NB66RNY3OG6D7QQUVCD6V \
  | 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: 5d432db43ef45b8db8de1fe10a5443f5530d8686cc9f10b44d3c9938d77c288e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71733f693e1071d79528bfbb937080a18d1579ba78136ea6099be6efbab2941d",
    "cross_cats_sorted": [
      "math.GR",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2013-07-11T00:05:04Z",
    "title_canon_sha256": "bb2be3d4501a7c61e4622df1fe114900d9d67b6cb9b5ba4a6f287d78f8ee3e1e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1307.2950",
    "kind": "arxiv",
    "version": 3
  }
}