Pith Number

pith:IIDFTU6P

pith:2018:IIDFTU6P6WLNFTLCCGRRBGC7P4

not attested not anchored not stored refs pending

Bernoulli shifts with bases of equal entropy are isomorphic

Brandon Seward

arxiv:1805.08279 v1 · 2018-05-21 · math.DS · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{IIDFTU6P6WLNFTLCCGRRBGC7P4}

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	2026-05-18T00:15:27.052375Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

420659d3cff596d2cd6211a310985f7f1411341a0bde9e6488c672cbefcbbcb0

Aliases

arxiv: 1805.08279 · arxiv_version: 1805.08279v1 · doi: 10.48550/arxiv.1805.08279 · pith_short_12: IIDFTU6P6WLN · pith_short_16: IIDFTU6P6WLNFTLC · pith_short_8: IIDFTU6P

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/IIDFTU6P6WLNFTLCCGRRBGC7P4 \
  | 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: 420659d3cff596d2cd6211a310985f7f1411341a0bde9e6488c672cbefcbbcb0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "92e468d1a7fbb2798fdbc733869cb12da72f6d121d0588834922218db11eca05",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-05-21T20:15:00Z",
    "title_canon_sha256": "2018eed48fd32d90aef6c41d0cf0db199e7eb016fceb182dd8d7cf7368119e57"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1805.08279",
    "kind": "arxiv",
    "version": 1
  }
}