Pith Number

pith:XM4342TP

pith:2016:XM4342TP4C7CGEMAUXBBYCXKED

not attested not anchored not stored refs pending

Mutual Dimension and Random Sequences

Adam Case, Jack H. Lutz

arxiv:1603.09390 v1 · 2016-03-30 · cs.CC · 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{XM4342TP4C7CGEMAUXBBYCXKED}

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	2026-05-18T01:17:58.755073Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bb39be6a6fe0be231180a5c21c0aea20c89efa302e499b4c7833f9f8554d1a72

Aliases

arxiv: 1603.09390 · arxiv_version: 1603.09390v1 · doi: 10.48550/arxiv.1603.09390 · pith_short_12: XM4342TP4C7C · pith_short_16: XM4342TP4C7CGEMA · pith_short_8: XM4342TP

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/XM4342TP4C7CGEMAUXBBYCXKED \
  | 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: bb39be6a6fe0be231180a5c21c0aea20c89efa302e499b4c7833f9f8554d1a72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9c2632d5c69049133999c54c81d3dfbfcfa69cb9e8936eafdd3017fb4b76c3ca",
    "cross_cats_sorted": [
      "math.PR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2016-03-30T21:31:47Z",
    "title_canon_sha256": "e7a435b320fd03a1c613e8842efdef8daf22f6eae2f6bb20d23eac7198109760"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.09390",
    "kind": "arxiv",
    "version": 1
  }
}