Pith Number

pith:CJORYF7X

pith:2016:CJORYF7X6746U34BOY5PZ42OZD

not attested not anchored not stored refs pending

Multiple Recurrence and Algorithmic Randomness

Andre Nies, Rodney G. Downey, Satyadev Nandakumar

arxiv:1604.04230 v2 · 2016-04-14 · math.LO · 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{CJORYF7X6746U34BOY5PZ42OZD}

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	2026-05-18T01:15:22.378114Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

125d1c17f7f7f9ea6f81763afcf34ec8d691b7a8174418b15f77ec6d41c7ec30

Aliases

arxiv: 1604.04230 · arxiv_version: 1604.04230v2 · doi: 10.48550/arxiv.1604.04230 · pith_short_12: CJORYF7X6746 · pith_short_16: CJORYF7X6746U34B · pith_short_8: CJORYF7X

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/CJORYF7X6746U34BOY5PZ42OZD \
  | 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: 125d1c17f7f7f9ea6f81763afcf34ec8d691b7a8174418b15f77ec6d41c7ec30

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "85968ffcc39dc7237024e936b54e61233edee2903d6d12b9b4a50807cdfd4a24",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-04-14T17:37:09Z",
    "title_canon_sha256": "6526e71458900b9789c23d815a99add3198652cbf6cf05f37487999f2b9d7660"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04230",
    "kind": "arxiv",
    "version": 2
  }
}