Pith Number

pith:RW5JDLIA

pith:2000:RW5JDLIAWBEKD4J2J2VMZMRCSD

not attested not anchored not stored refs pending

Fixed points of analytic actions of supersoluble Lie groups on compact surfaces

Alan Weinstein, Morris W. Hirsch

arxiv:math/0002013 v2 · 2000-02-02 · math.DS · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RW5JDLIAWBEKD4J2J2VMZMRCSD}

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	2026-07-04T14:34:15.098236Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8dba91ad00b048a1f13a4eaaccb22290e759feb9fc92fdb1bbb9387dd5f79be9

Aliases

arxiv: math/0002013 · arxiv_version: math/0002013v2 · doi: 10.48550/arxiv.math/0002013 · pith_short_12: RW5JDLIAWBEK · pith_short_16: RW5JDLIAWBEKD4J2 · pith_short_8: RW5JDLIA

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/RW5JDLIAWBEKD4J2J2VMZMRCSD \
  | 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: 8dba91ad00b048a1f13a4eaaccb22290e759feb9fc92fdb1bbb9387dd5f79be9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6532934204a5187283e0bf720a602a51663e848d91b768fe44c6bb92e6beb650",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2000-02-02T00:58:37Z",
    "title_canon_sha256": "70825ec499884a2e86682b12af5d6d9e7dcc7f00d81afca2444ca13937eed870"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0002013",
    "kind": "arxiv",
    "version": 2
  }
}