Pith Number

pith:4UZ5TWHS

pith:2026:4UZ5TWHS5UDCHG5QCNEFNYWYFE

not attested not anchored not stored refs pending

Martin's Axiom, Large Continuum and Global $\Sigma^1_n$-Uniformization

Stefan Hoffelner

arxiv:2605.21189 v1 · 2026-05-20 · 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{4UZ5TWHS5UDCHG5QCNEFNYWYFE}

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	2026-05-21T01:05:42.613951Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e533d9d8f2ed06239bb0134856e2d8293ffac0899936de4d7e6e2bd221c9a0e7

Aliases

arxiv: 2605.21189 · arxiv_version: 2605.21189v1 · doi: 10.48550/arxiv.2605.21189 · pith_short_12: 4UZ5TWHS5UDC · pith_short_16: 4UZ5TWHS5UDCHG5Q · pith_short_8: 4UZ5TWHS

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/4UZ5TWHS5UDCHG5QCNEFNYWYFE \
  | 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: e533d9d8f2ed06239bb0134856e2d8293ffac0899936de4d7e6e2bd221c9a0e7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71d0ffb2641ff0c9c3607bc7bb809c7e037acadfc8b3fbd9f590007c26715182",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-05-20T13:53:09Z",
    "title_canon_sha256": "40dd4bd14b90a918fcbc754e4208c0891da46f11135aea41ef30e7762df0b007"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2605.21189",
    "kind": "arxiv",
    "version": 1
  }
}