Pith Number

pith:EZKVBI6F

pith:2018:EZKVBI6FBTLBFYIPGZYYFZNKYN

not attested not anchored not stored refs pending

Extendible cardinals and the mantle

Toshimichi Usuba

arxiv:1803.03944 v3 · 2018-03-11 · 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{EZKVBI6FBTLBFYIPGZYYFZNKYN}

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	2026-05-18T00:10:16.987591Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

265550a3c50cd612e10f367182e5aac34d9a0d9463f9aaf8b33865b20978ec4b

Aliases

arxiv: 1803.03944 · arxiv_version: 1803.03944v3 · doi: 10.48550/arxiv.1803.03944 · pith_short_12: EZKVBI6FBTLB · pith_short_16: EZKVBI6FBTLBFYIP · pith_short_8: EZKVBI6F

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/EZKVBI6FBTLBFYIPGZYYFZNKYN \
  | 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: 265550a3c50cd612e10f367182e5aac34d9a0d9463f9aaf8b33865b20978ec4b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "be13eeccd8f74227fb4c2310aaf8d5509b1b4c4e33372dd59a9704726a25358f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-03-11T11:15:15Z",
    "title_canon_sha256": "35c1008d47f57f1367439a6eb4602baa767717b8ce655453941accf73352a170"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1803.03944",
    "kind": "arxiv",
    "version": 3
  }
}