Pith Number

pith:7PO6333U

pith:2013:7PO6333U5YV2MTIP3C64FUBL45

not attested not anchored not stored refs pending

Inside the Muchnik Degrees II: The Degree Structures induced by the Arithmetical Hierarchy of Countably Continuous Functions

Kojiro Higuchi, Takayuki Kihara

arxiv:1309.1937 v1 · 2013-09-08 · math.LO · 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{7PO6333U5YV2MTIP3C64FUBL45}

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	2026-05-18T03:13:56.951093Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fbddedef74ee2ba64d0fd8bdc2d02be77e6cde6afcaa49322584661d58aa0007

Aliases

arxiv: 1309.1937 · arxiv_version: 1309.1937v1 · doi: 10.48550/arxiv.1309.1937 · pith_short_12: 7PO6333U5YV2 · pith_short_16: 7PO6333U5YV2MTIP · pith_short_8: 7PO6333U

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/7PO6333U5YV2MTIP3C64FUBL45 \
  | 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: fbddedef74ee2ba64d0fd8bdc2d02be77e6cde6afcaa49322584661d58aa0007

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c095612f0d89fbbddf96035ce2feb17702f046741e772363b82206235f756f20",
    "cross_cats_sorted": [
      "cs.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2013-09-08T08:01:40Z",
    "title_canon_sha256": "c6b76d1821e7d75b7ae2a04d8a1ba1aa94918a52e76558423e56fa1d9013a7bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1309.1937",
    "kind": "arxiv",
    "version": 1
  }
}