Pith Number

pith:GR43SBFV

pith:2011:GR43SBFVYDFW7WRKSX5NQKGOII

not attested not anchored not stored refs pending

Idempotent Generated Endomorphisms of an Independence Algebra

Jo\~ao Ara\'ujo

arxiv:1101.5710 v1 · 2011-01-29 · 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{GR43SBFVYDFW7WRKSX5NQKGOII}

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	2026-05-18T04:30:24.993469Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3479b904b5c0cb6fda2a95fad828ce4233349da26e20f534fdc9719e77426ae2

Aliases

arxiv: 1101.5710 · arxiv_version: 1101.5710v1 · doi: 10.48550/arxiv.1101.5710 · pith_short_12: GR43SBFVYDFW · pith_short_16: GR43SBFVYDFW7WRK · pith_short_8: GR43SBFV

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/GR43SBFVYDFW7WRKSX5NQKGOII \
  | 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: 3479b904b5c0cb6fda2a95fad828ce4233349da26e20f534fdc9719e77426ae2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "90c5d5254eaea51234300de8f09bb0281c2ac3ea76bbdde00a94833e14402501",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2011-01-29T17:50:17Z",
    "title_canon_sha256": "b7c1f0c1d7651e4b41c3b4c0162b2b03555eef19243e6eb49b9557a2a00d4254"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.5710",
    "kind": "arxiv",
    "version": 1
  }
}