Pith Number

pith:P2EZOC42

pith:2016:P2EZOC42VA4VV2XWQKT626IKTP

not attested not anchored not stored refs pending

Differences of halting probabilities

Andrew Lewis-Pye, George Barmpalias

arxiv:1604.00216 v2 · 2016-04-01 · cs.CC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{P2EZOC42VA4VV2XWQKT626IKTP}

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.

Cited by

1 paper in Pith

Bishop's (up)crossing inequality and lower semicomputable random reals revisited

Receipt and verification

First computed	2026-05-18T00:44:13.849411Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7e89970b9aa8395aeaf682a7ed790a9bff88ed4934dbc2f87676c0e2cafc0cd5

Aliases

arxiv: 1604.00216 · arxiv_version: 1604.00216v2 · doi: 10.48550/arxiv.1604.00216 · pith_short_12: P2EZOC42VA4V · pith_short_16: P2EZOC42VA4VV2XW · pith_short_8: P2EZOC42

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/P2EZOC42VA4VV2XWQKT626IKTP \
  | 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: 7e89970b9aa8395aeaf682a7ed790a9bff88ed4934dbc2f87676c0e2cafc0cd5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a71d01a24a2de081e962c8de8dafe452f4508100ac69744b373621ab628f1c3f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.CC",
    "submitted_at": "2016-04-01T12:19:31Z",
    "title_canon_sha256": "2d0ba6f69a6e435972fdd06c9a9e4a3bc00a6c0987e759c8b0114ee5fd57a2c1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.00216",
    "kind": "arxiv",
    "version": 2
  }
}