Pith Number

pith:KLRDXAY2

pith:2012:KLRDXAY2FRU2MKQZKHVG3NE4CQ

not attested not anchored not stored refs pending

Strong Tree Properties for Small Cardinals

Laura Fontanella

arxiv:1201.6673 v3 · 2012-01-31 · 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{KLRDXAY2FRU2MKQZKHVG3NE4CQ}

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	2026-05-18T03:55:23.300403Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

52e23b831a2c69a62a1951ea6db49c1414d518a4504c43c6c89331527c0ed641

Aliases

arxiv: 1201.6673 · arxiv_version: 1201.6673v3 · doi: 10.48550/arxiv.1201.6673 · pith_short_12: KLRDXAY2FRU2 · pith_short_16: KLRDXAY2FRU2MKQZ · pith_short_8: KLRDXAY2

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/KLRDXAY2FRU2MKQZKHVG3NE4CQ \
  | 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: 52e23b831a2c69a62a1951ea6db49c1414d518a4504c43c6c89331527c0ed641

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7451a63cba3df7ef6c3b5c120dac67461f1c6d4d9c3ba938b4d574b874107d0d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2012-01-31T20:24:05Z",
    "title_canon_sha256": "36c638fa0ce08850c2b96d494e8de628a059737b62dffd007f2ca17b38c60908"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.6673",
    "kind": "arxiv",
    "version": 3
  }
}