Pith Number

pith:RSW4OMGG

pith:2006:RSW4OMGGZ25OAJ2J6IRUYPVYJK

not attested not anchored not stored refs pending

Rotation numbers in Thompson-Stein groups and applications

Isabelle Liousse

arxiv:math/0604109 v2 · 2006-04-05 · math.DS · 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{RSW4OMGGZ25OAJ2J6IRUYPVYJK}

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	2026-05-18T04:14:55.318111Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8cadc730c6cebae02749f2234c3eb84a80b96db5ed02a3fd4f58db30807f56a5

Aliases

arxiv: math/0604109 · arxiv_version: math/0604109v2 · doi: 10.48550/arxiv.math/0604109 · pith_short_12: RSW4OMGGZ25O · pith_short_16: RSW4OMGGZ25OAJ2J · pith_short_8: RSW4OMGG

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/RSW4OMGGZ25OAJ2J6IRUYPVYJK \
  | 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: 8cadc730c6cebae02749f2234c3eb84a80b96db5ed02a3fd4f58db30807f56a5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "df21d40b56e411b218a95290b9732b15ac130016da33c65fbfeb5ea89ba3afb0",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2006-04-05T14:50:13Z",
    "title_canon_sha256": "373c12b0511de40796d8a4d79c1ef3bf9473549bdbe755cc9c2654c3d524ef6b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0604109",
    "kind": "arxiv",
    "version": 2
  }
}