Pith Number

pith:B6SJF44I

pith:2008:B6SJF44IO4WOXWYNTNKNDTWBP6

not attested not anchored not stored refs pending

Nonsmoothable, locally indicable group actions on the interval

Danny Calegari

arxiv:0802.2707 v1 · 2008-02-19 · math.DS · math.GR · 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{B6SJF44IO4WOXWYNTNKNDTWBP6}

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	2026-05-18T02:41:51.765397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fa492f388772cebdb0d9b54d1cec17fa28061e7f6ed6d1b9ee938e35b0e83e3

Aliases

arxiv: 0802.2707 · arxiv_version: 0802.2707v1 · doi: 10.48550/arxiv.0802.2707 · pith_short_12: B6SJF44IO4WO · pith_short_16: B6SJF44IO4WOXWYN · pith_short_8: B6SJF44I

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/B6SJF44IO4WOXWYNTNKNDTWBP6 \
  | 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: 0fa492f388772cebdb0d9b54d1cec17fa28061e7f6ed6d1b9ee938e35b0e83e3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c607575e568f4f8edfea8fdae7ba7ed26a8e679db453c4c425220f48dad51734",
    "cross_cats_sorted": [
      "math.GR",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2008-02-19T20:42:11Z",
    "title_canon_sha256": "1f1ba5adf3d7f08956d286efa0da47069fb340a37aaa3c723ee53a9779e22062"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.2707",
    "kind": "arxiv",
    "version": 1
  }
}