Pith Number

pith:WIIJZE3Z

pith:2014:WIIJZE3ZXJ4R3IIJOELRMHK3LV

not attested not anchored not stored refs pending

Random strings and tt-degrees of Turing complete C.E. sets

Joseph Miller (University of Wisconson, Madison), Mingzhong Cai (University of Wisconson, Rachel Epstein (Swathmore College), Rodney G Downey (Victoria University Wellington), Steffen Lempp (University of Wisconson

arxiv:1408.5636 v2 · 2014-08-24 · 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{WIIJZE3ZXJ4R3IIJOELRMHK3LV}

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	2026-05-18T01:37:35.604287Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b2109c9379ba791da1097117161d5b5d7200e800c23723c6bedab6414be69a72

Aliases

arxiv: 1408.5636 · arxiv_version: 1408.5636v2 · doi: 10.48550/arxiv.1408.5636 · pith_short_12: WIIJZE3ZXJ4R · pith_short_16: WIIJZE3ZXJ4R3IIJ · pith_short_8: WIIJZE3Z

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/WIIJZE3ZXJ4R3IIJOELRMHK3LV \
  | 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: b2109c9379ba791da1097117161d5b5d7200e800c23723c6bedab6414be69a72

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05dd1fdf94dbb33a92446be713c307c8aa0dc6b9a3795e7569f17fec6b1c2c3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2014-08-24T21:17:28Z",
    "title_canon_sha256": "abc81cca2320243fa517a0bb2a7779790e26e25754fdefa0d6ab6d4f8a3ab298"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.5636",
    "kind": "arxiv",
    "version": 2
  }
}