Pith Number

pith:YUGQCJ43

pith:2016:YUGQCJ434KQ5OUGEVEO75B5EIT

not attested not anchored not stored refs pending

The "paradox" of computability and a recursive relative version of the Busy Beaver function

Felipe S. Abrah\~ao

arxiv:1612.07400 v1 · 2016-12-22 · cs.LO · math.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{YUGQCJ434KQ5OUGEVEO75B5EIT}

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	2026-05-18T00:54:10.105455Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c50d01279be2a1d750c4a91dfe87a444c514bb3566fb58826c0c00d47f728730

Aliases

arxiv: 1612.07400 · arxiv_version: 1612.07400v1 · doi: 10.48550/arxiv.1612.07400 · pith_short_12: YUGQCJ434KQ5 · pith_short_16: YUGQCJ434KQ5OUGE · pith_short_8: YUGQCJ43

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/YUGQCJ434KQ5OUGEVEO75B5EIT \
  | 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: c50d01279be2a1d750c4a91dfe87a444c514bb3566fb58826c0c00d47f728730

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d20ddcb814e7f832f689c20d407602f0036dc8512db6b084805412f0ce0598ae",
    "cross_cats_sorted": [
      "math.LO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2016-12-22T00:28:59Z",
    "title_canon_sha256": "a5e372637567b2c892d856ee007d4a8e535bad812a06b0b3cb8b66ee630c6382"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.07400",
    "kind": "arxiv",
    "version": 1
  }
}