Pith Number

pith:6DSAFKGL

pith:2010:6DSAFKGL7JVZRNVFU5ZMCHIO7R

not attested not anchored not stored refs pending

There is no minimal action of Z^2 on the plane

Fr\'ed\'eric Le Roux (LM-Orsay)

arxiv:1004.5270 v2 · 2010-04-29 · 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{6DSAFKGL7JVZRNVFU5ZMCHIO7R}

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	2026-05-18T04:41:05.873949Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0e402a8cbfa6b98b6a5a772c11d0efc7b6c6ef6725454464180d1869769cf27

Aliases

arxiv: 1004.5270 · arxiv_version: 1004.5270v2 · doi: 10.48550/arxiv.1004.5270 · pith_short_12: 6DSAFKGL7JVZ · pith_short_16: 6DSAFKGL7JVZRNVF · pith_short_8: 6DSAFKGL

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/6DSAFKGL7JVZRNVFU5ZMCHIO7R \
  | 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: f0e402a8cbfa6b98b6a5a772c11d0efc7b6c6ef6725454464180d1869769cf27

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f93975c97b37e614fac45ddab208bb6ca7765463c70af0a7aa242b11762f6bf3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2010-04-29T13:18:50Z",
    "title_canon_sha256": "ee34d646fbc43b1f999cb032465982fe894cbbe256ea91455f5fb7e942e6ce06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.5270",
    "kind": "arxiv",
    "version": 2
  }
}