Pith Number

pith:D2KVJH4V

pith:2016:D2KVJH4VAH5JEP5RU7VMRUL6FC

not attested not anchored not stored refs pending

Optimal asymptotic bounds on the oracle use in computations from Chaitin's Omega

Andrew Lewis-Pye, George Barmpalias, Nan Fang

arxiv:1602.03208 v2 · 2016-02-05 · math.LO · cs.CC · cs.LO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{D2KVJH4VAH5JEP5RU7VMRUL6FC}

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	2026-05-18T01:15:49.691298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e95549f9501fa923fb1a7eac8d17e28bf703b9866e88c0babe6d89b44845a64

Aliases

arxiv: 1602.03208 · arxiv_version: 1602.03208v2 · doi: 10.48550/arxiv.1602.03208 · pith_short_12: D2KVJH4VAH5J · pith_short_16: D2KVJH4VAH5JEP5R · pith_short_8: D2KVJH4V

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/D2KVJH4VAH5JEP5RU7VMRUL6FC \
  | 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: 1e95549f9501fa923fb1a7eac8d17e28bf703b9866e88c0babe6d89b44845a64

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0d276338c1c456202640a5ee2115bb97f3c0c8d1c05a33968107a75743b0c54",
    "cross_cats_sorted": [
      "cs.CC",
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2016-02-05T08:59:56Z",
    "title_canon_sha256": "80901a76c2bfcbd55e84f073a6263acb45468c789123b587ee359bc854404cc2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.03208",
    "kind": "arxiv",
    "version": 2
  }
}