Pith Number

pith:KXNFZDOP

pith:2018:KXNFZDOPGA7VCXCDQF2TGEG66C

not attested not anchored not stored refs pending

Two results on cardinal invariants at uncountable cardinals

Dilip Raghavan, Saharon Shelah

arxiv:1801.09369 v1 · 2018-01-29 · 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{KXNFZDOPGA7VCXCDQF2TGEG66C}

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	2026-05-18T00:24:57.612537Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

55da5c8dcf303f515c4381753310def099297548a3bf48750d72fc309339402a

Aliases

arxiv: 1801.09369 · arxiv_version: 1801.09369v1 · doi: 10.48550/arxiv.1801.09369 · pith_short_12: KXNFZDOPGA7V · pith_short_16: KXNFZDOPGA7VCXCD · pith_short_8: KXNFZDOP

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/KXNFZDOPGA7VCXCDQF2TGEG66C \
  | 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: 55da5c8dcf303f515c4381753310def099297548a3bf48750d72fc309339402a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d8d05c676b59c4106598a16fe829031770d80821dc9f543d807793447ecc7dd5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2018-01-29T05:54:28Z",
    "title_canon_sha256": "da7165e1d5c5111c3a2763ff351caeef404b97141136eb7fe70e98b1eb5e9870"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1801.09369",
    "kind": "arxiv",
    "version": 1
  }
}