Pith Number

pith:VHJKJQ73

pith:2010:VHJKJQ73SPVPLMZBKELUDMUQQZ

not attested not anchored not stored refs pending

Action of Non Abelian Group Generated by Affine Homotheties on R^n

Adlene Ayadi, Yahya N'Dao

arxiv:1009.5356 v4 · 2010-09-27 · 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{VHJKJQ73SPVPLMZBKELUDMUQQZ}

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	2026-05-18T04:39:49.133760Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9d2a4c3fb93eaf5b321511741b2908660f7f87229237d3f94d890fe3093ff07

Aliases

arxiv: 1009.5356 · arxiv_version: 1009.5356v4 · doi: 10.48550/arxiv.1009.5356 · pith_short_12: VHJKJQ73SPVP · pith_short_16: VHJKJQ73SPVPLMZB · pith_short_8: VHJKJQ73

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/VHJKJQ73SPVPLMZBKELUDMUQQZ \
  | 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: a9d2a4c3fb93eaf5b321511741b2908660f7f87229237d3f94d890fe3093ff07

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b186d8d62e695e02d63523e13477cb4d4df910c78cef1ec767018c1d322e36a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-09-27T19:03:41Z",
    "title_canon_sha256": "8ca36a44e624423d523fc912367025effda7cb016501d58089feb53753946265"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1009.5356",
    "kind": "arxiv",
    "version": 4
  }
}