Pith Number

pith:XPHIJKVQ

pith:2015:XPHIJKVQ35L3HZCHYK4KOV2N7B

not attested not anchored not stored refs pending

A Rice-like theorem for primitive recursive functions

Mathieu Hoyrup

arxiv:1503.05025 v1 · 2015-03-17 · 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{XPHIJKVQ35L3HZCHYK4KOV2N7B}

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	2026-05-18T02:22:20.717950Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bbce84aab0df57b3e447c2b8a7574df84ad45bca3218235ec16a2ca86b863ff8

Aliases

arxiv: 1503.05025 · arxiv_version: 1503.05025v1 · doi: 10.48550/arxiv.1503.05025 · pith_short_12: XPHIJKVQ35L3 · pith_short_16: XPHIJKVQ35L3HZCH · pith_short_8: XPHIJKVQ

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/XPHIJKVQ35L3HZCHYK4KOV2N7B \
  | 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: bbce84aab0df57b3e447c2b8a7574df84ad45bca3218235ec16a2ca86b863ff8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a9ee7a5bf567abafa6d344e245dad91e3c459952a7d853486841c3e5ec27c8bd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.LO",
    "submitted_at": "2015-03-17T12:56:59Z",
    "title_canon_sha256": "17c1b83be8b5efe08f44745eeda060b59e61a7f6dc906c035394b282847fdccd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1503.05025",
    "kind": "arxiv",
    "version": 1
  }
}