Pith Number

pith:XCXJLNSO

pith:2012:XCXJLNSOBJUHOAPU5L4BF7IKMT

not attested not anchored not stored refs pending

Algorithmic randomness and stochastic selection function

Hayato Takahashi

arxiv:1205.5504 v4 · 2012-05-24 · cs.IT · math.IT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{XCXJLNSOBJUHOAPU5L4BF7IKMT}

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	2026-05-18T01:23:33.868920Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8ae95b64e0a687701f4eaf812fd0a64d12075370bbcaef9ba323902d65597c0

Aliases

arxiv: 1205.5504 · arxiv_version: 1205.5504v4 · doi: 10.48550/arxiv.1205.5504 · pith_short_12: XCXJLNSOBJUH · pith_short_16: XCXJLNSOBJUHOAPU · pith_short_8: XCXJLNSO

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/XCXJLNSOBJUHOAPU5L4BF7IKMT \
  | 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: b8ae95b64e0a687701f4eaf812fd0a64d12075370bbcaef9ba323902d65597c0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "709e1a4c4aaeaf34c8b4db024fa6d9bcfc4a62b75e3b7b546d604329a79fac5d",
    "cross_cats_sorted": [
      "math.IT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2012-05-24T17:07:34Z",
    "title_canon_sha256": "806e307b50a414b714f4a283b50489e4f9aa6e2bbe161b9c5f87ac1cb413e9e9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1205.5504",
    "kind": "arxiv",
    "version": 4
  }
}