Pith Number

pith:LZVNNL2H

pith:2014:LZVNNL2H7KEND3425KU5TLQLYS

not attested not anchored not stored refs pending

Categorical characterizations of the natural numbers require primitive recursion

Keita Yokoyama, Leszek Aleksander Ko{\l}odziejczyk

arxiv:1410.3649 v2 · 2014-10-14 · 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{LZVNNL2H7KEND3425KU5TLQLYS}

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	2026-05-18T02:39:56.715896Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5e6ad6af47fa88d1ef9aeaa9d9ae0bc4b1d03d7fa5e55ccd01fb1f79333ea1ce

Aliases

arxiv: 1410.3649 · arxiv_version: 1410.3649v2 · doi: 10.48550/arxiv.1410.3649 · pith_short_12: LZVNNL2H7KEN · pith_short_16: LZVNNL2H7KEND342 · pith_short_8: LZVNNL2H

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/LZVNNL2H7KEND3425KU5TLQLYS \
  | 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: 5e6ad6af47fa88d1ef9aeaa9d9ae0bc4b1d03d7fa5e55ccd01fb1f79333ea1ce

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ecd8e98a475ea9d22adc94361aa81c74cb7e054f8b9ac3b9cc1dc6c09fc7014",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2014-10-14T11:20:29Z",
    "title_canon_sha256": "96ead55add6288fade83546053e9719d2583ad00395952589d914f740aaff42b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1410.3649",
    "kind": "arxiv",
    "version": 2
  }
}