Pith Number

pith:IZVPR3QZ

pith:2018:IZVPR3QZSLUKRZAS4W4VKSZCBI

not attested not anchored not stored refs pending

Classifying spaces for commutativity of low-dimensional Lie groups

Bernardo Villarreal, Omar Antol\'in-Camarena, Simon Gritschacher

arxiv:1802.03632 v2 · 2018-02-10 · 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{IZVPR3QZSLUKRZAS4W4VKSZCBI}

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	2026-05-17T23:40:36.606292Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

466af8ee1992e8a8e412e5b9554b220a08e640fe18ea01758ab8487ab9c50184

Aliases

arxiv: 1802.03632 · arxiv_version: 1802.03632v2 · doi: 10.48550/arxiv.1802.03632 · pith_short_12: IZVPR3QZSLUK · pith_short_16: IZVPR3QZSLUKRZAS · pith_short_8: IZVPR3QZ

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/IZVPR3QZSLUKRZAS4W4VKSZCBI \
  | 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: 466af8ee1992e8a8e412e5b9554b220a08e640fe18ea01758ab8487ab9c50184

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "99cc65f77156f6d739f506ea0c8db842b6e641645c58bf8f6d13f17dda75e0dd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2018-02-10T18:14:14Z",
    "title_canon_sha256": "9fe089a38b78e142fde0465a5d4d1ba13eb6397d658bece54df3c475359f9ac6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1802.03632",
    "kind": "arxiv",
    "version": 2
  }
}