Pith Number

pith:YEUEVWQ5

pith:2013:YEUEVWQ55BEQFBABPOALQA6HJK

not attested not anchored not stored refs pending

On the Invariant Density of the Random Beta-Transformation

Tom Kempton

arxiv:1303.1081 v1 · 2013-03-05 · math.DS · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YEUEVWQ55BEQFBABPOALQA6HJK}

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	2026-05-18T03:31:45.609338Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c1284ada1de8490284017b80b803c74aa5c388ebef170c309689458516d2ae9a

Aliases

arxiv: 1303.1081 · arxiv_version: 1303.1081v1 · doi: 10.48550/arxiv.1303.1081 · pith_short_12: YEUEVWQ55BEQ · pith_short_16: YEUEVWQ55BEQFBAB · pith_short_8: YEUEVWQ5

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/YEUEVWQ55BEQFBABPOALQA6HJK \
  | 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: c1284ada1de8490284017b80b803c74aa5c388ebef170c309689458516d2ae9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cede15d5f20e25904945257565c3d8ea9251ff92061d980cde2690206e03d901",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-03-05T16:02:18Z",
    "title_canon_sha256": "42b23439fbb30de54fcdfb8dbe9260028d5f20d7c875537ab204e9f60979d372"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1081",
    "kind": "arxiv",
    "version": 1
  }
}