Pith Number

pith:RP3S2H3B

pith:2011:RP3S2H3B6URMF4MTO7Q3VLJFAX

not attested not anchored not stored refs pending

Every finite group is the group of self homotopy equivalences of an elliptic space

A. Viruel, C. Costoya

arxiv:1106.1087 v3 · 2011-06-06 · math.AT · math.GR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RP3S2H3B6URMF4MTO7Q3VLJFAX}

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	2026-05-18T03:20:59.008868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8bf72d1f61f522c2f19377e1baad2505e93b59cf6ba03889c5f6d069ee30fe9f

Aliases

arxiv: 1106.1087 · arxiv_version: 1106.1087v3 · doi: 10.48550/arxiv.1106.1087 · pith_short_12: RP3S2H3B6URM · pith_short_16: RP3S2H3B6URMF4MT · pith_short_8: RP3S2H3B

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/RP3S2H3B6URMF4MTO7Q3VLJFAX \
  | 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: 8bf72d1f61f522c2f19377e1baad2505e93b59cf6ba03889c5f6d069ee30fe9f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f2a25e298b509e4f4ba6b93e3cc54f176b9178654b3ab8096b266a2a4b0fcee1",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-06-06T15:12:18Z",
    "title_canon_sha256": "6dbd10b9c64986669c81fa1c5816e96a056cfbf8cd0205e74160effe6eee8376"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1106.1087",
    "kind": "arxiv",
    "version": 3
  }
}