Pith Number

pith:IKECDYCZ

pith:2026:IKECDYCZGP6YSJW5M3PLVOI3RH

not attested not anchored not stored refs pending

Cardinal invariants on universally null sets

Tatsuya Goto

arxiv:2607.12936 v1 · 2026-07-14 · 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{IKECDYCZGP6YSJW5M3PLVOI3RH}

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	2026-07-15T01:22:26.092128Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

428821e05933fd8926dd66debab91b89f5c9edcc20396e389fa75e47e172c1e4

Aliases

arxiv: 2607.12936 · arxiv_version: 2607.12936v1 · doi: 10.48550/arxiv.2607.12936 · pith_short_12: IKECDYCZGP6Y · pith_short_16: IKECDYCZGP6YSJW5 · pith_short_8: IKECDYCZ

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/IKECDYCZGP6YSJW5M3PLVOI3RH \
  | 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: 428821e05933fd8926dd66debab91b89f5c9edcc20396e389fa75e47e172c1e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "04b187d1de7f35b649e0160d68460593a345763090880bb155c8effde30e4c54",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-07-14T16:09:33Z",
    "title_canon_sha256": "fca386a045add3fa2cd1250703abcbf07ce34c211b9179ec340906cc7a7da35f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2607.12936",
    "kind": "arxiv",
    "version": 1
  }
}