Pith Number

pith:JEGO4WPM

pith:2009:JEGO4WPM4LGIIYBCQVVBGPIGHG

not attested not anchored not stored refs pending

Irregular sets, the $\beta$-transformation and the almost specification property

Daniel J. Thompson

arxiv:0905.0739 v2 · 2009-05-06 · 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{JEGO4WPM4LGIIYBCQVVBGPIGHG}

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	2026-05-18T03:56:34.286478Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

490cee59ece2cc846022856a133d0639a63d1057139db93e31d0e6d1af21de95

Aliases

arxiv: 0905.0739 · arxiv_version: 0905.0739v2 · doi: 10.48550/arxiv.0905.0739 · pith_short_12: JEGO4WPM4LGI · pith_short_16: JEGO4WPM4LGIIYBC · pith_short_8: JEGO4WPM

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/JEGO4WPM4LGIIYBCQVVBGPIGHG \
  | 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: 490cee59ece2cc846022856a133d0639a63d1057139db93e31d0e6d1af21de95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7587d279ee5602d4abf63b50356aa33173ed4c20ed304f6a335d87ed06368c0f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-05-06T13:05:31Z",
    "title_canon_sha256": "4624c922c6a23d1cd8e379363aad1b7eef0271aa24e788836108237172a8b35d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0905.0739",
    "kind": "arxiv",
    "version": 2
  }
}