Pith Number

pith:MZMYGUSQ

pith:2026:MZMYGUSQZQXC5HRNBGD2G74ZLW

not attested not anchored not stored refs pending

The Gamified Kat\v{e}tov order is not linear (in fact, very much not so)

Ming Ng, Takayuki Kihara

arxiv:2605.21473 v1 · 2026-05-20 · math.LO · math.CT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{MZMYGUSQZQXC5HRNBGD2G74ZLW}

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	2026-05-21T02:05:38.917839Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6659835250cc2e2e9e2d0987a37f995d8651bb26a602d524974d6d9565e50015

Aliases

arxiv: 2605.21473 · arxiv_version: 2605.21473v1 · doi: 10.48550/arxiv.2605.21473 · pith_short_12: MZMYGUSQZQXC · pith_short_16: MZMYGUSQZQXC5HRN · pith_short_8: MZMYGUSQ

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/MZMYGUSQZQXC5HRNBGD2G74ZLW \
  | 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: 6659835250cc2e2e9e2d0987a37f995d8651bb26a602d524974d6d9565e50015

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e908ff84586fe62b1aaa2049dc3daf815f7a28910e28e61ff36a19f73254ded",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-05-20T17:55:23Z",
    "title_canon_sha256": "0c5565ebf0469573d55932c088bd371134ea0b45399464e42a1afd656683f9d7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21473",
    "kind": "arxiv",
    "version": 1
  }
}