Pith Number

pith:TIF7T3VA

pith:2011:TIF7T3VA3FOJ6QHKF3G5HIMK5T

not attested not anchored not stored refs pending

Projective Cyclic Groups in Higher Dimensions

Alejandro Ucan, Angel Cano, Luis Loeza

arxiv:1112.4107 v4 · 2011-12-18 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TIF7T3VA3FOJ6QHKF3G5HIMK5T}

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	2026-05-18T00:53:24.915588Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9a0bf9eea0d95c9f40ea2ecdd3a18aecfbebbaa181fbf3b1a9b7434df32dd7ca

Aliases

arxiv: 1112.4107 · arxiv_version: 1112.4107v4 · doi: 10.48550/arxiv.1112.4107 · pith_short_12: TIF7T3VA3FOJ · pith_short_16: TIF7T3VA3FOJ6QHK · pith_short_8: TIF7T3VA

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/TIF7T3VA3FOJ6QHKF3G5HIMK5T \
  | 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: 9a0bf9eea0d95c9f40ea2ecdd3a18aecfbebbaa181fbf3b1a9b7434df32dd7ca

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "14b4d58688d6ddc36d323ceeddab3e363d0397a8272b099913ca6a797966f6cf",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-12-18T02:17:44Z",
    "title_canon_sha256": "d077e3e10048c8529a55f2d1a630bb1409bc3029549cb07428ea7557aea44ea7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.4107",
    "kind": "arxiv",
    "version": 4
  }
}