Pith Number

pith:UQGXUZ4V

pith:2011:UQGXUZ4VSBFC23CN7542XMHVGU

not attested not anchored not stored refs pending

Stepped surfaces and Rauzy fractals induced from automorphisms on the free group of rank 2

Hiromi Ei

arxiv:1105.5965 v3 · 2011-05-30 · 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{UQGXUZ4VSBFC23CN7542XMHVGU}

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	2026-05-18T04:08:44.647463Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a40d7a6795904a2d6c4dff79abb0f5353b85744487acba3d8e073a30fee05413

Aliases

arxiv: 1105.5965 · arxiv_version: 1105.5965v3 · doi: 10.48550/arxiv.1105.5965 · pith_short_12: UQGXUZ4VSBFC · pith_short_16: UQGXUZ4VSBFC23CN · pith_short_8: UQGXUZ4V

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/UQGXUZ4VSBFC23CN7542XMHVGU \
  | 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: a40d7a6795904a2d6c4dff79abb0f5353b85744487acba3d8e073a30fee05413

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "679805687c3906c15aadbee4d10ad8b04db47e036f7e13481b0f87c04032ce91",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2011-05-30T12:40:41Z",
    "title_canon_sha256": "4e4d92a77086828ea48149d7594b4110754fbc8ac99b7d38abd3ce490373d112"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.5965",
    "kind": "arxiv",
    "version": 3
  }
}