Pith Number

pith:WPO4EK23

pith:2011:WPO4EK23QGVYSMLLGCB47BVF6Z

not attested not anchored not stored refs pending

On distortion in groups of homeomorphisms

Jarek K\k{e}dra, \'Swiatos{\l}aw Gal

arxiv:1111.1449 v1 · 2011-11-06 · 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{WPO4EK23QGVYSMLLGCB47BVF6Z}

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	2026-05-18T04:07:53.713290Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b3ddc22b5b81ab89316b3083cf86a5f65595008cf7b00f8e5bb3d68d21c2503c

Aliases

arxiv: 1111.1449 · arxiv_version: 1111.1449v1 · doi: 10.48550/arxiv.1111.1449 · pith_short_12: WPO4EK23QGVY · pith_short_16: WPO4EK23QGVYSMLL · pith_short_8: WPO4EK23

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/WPO4EK23QGVYSMLLGCB47BVF6Z \
  | 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: b3ddc22b5b81ab89316b3083cf86a5f65595008cf7b00f8e5bb3d68d21c2503c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6599bac843e0347e24eae7e8ff8dfa7a86bca16adc1481aff090d026459d48ec",
    "cross_cats_sorted": [
      "math.GR",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-11-06T20:15:54Z",
    "title_canon_sha256": "632df8817752d636408aa58ef291f81295229e3648fbbc755c345b534ed6cc4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1111.1449",
    "kind": "arxiv",
    "version": 1
  }
}