Pith Number

pith:AWDYUMBF

pith:2019:AWDYUMBFVDWNRTE5KSE7SZ33QI

not attested not anchored not stored refs pending

On the non-existence of $\kappa$-mad families

Haim Horowitz, Saharon Shelah

arxiv:1906.09538 v1 · 2019-06-23 · 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{AWDYUMBFVDWNRTE5KSE7SZ33QI}

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	2026-05-17T23:42:37.659233Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

05878a3025a8ecd8cc9d5489f9677b823df1af4fb308b8279553bfffd0d6ffa1

Aliases

arxiv: 1906.09538 · arxiv_version: 1906.09538v1 · doi: 10.48550/arxiv.1906.09538 · pith_short_12: AWDYUMBFVDWN · pith_short_16: AWDYUMBFVDWNRTE5 · pith_short_8: AWDYUMBF

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/AWDYUMBFVDWNRTE5KSE7SZ33QI \
  | 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: 05878a3025a8ecd8cc9d5489f9677b823df1af4fb308b8279553bfffd0d6ffa1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db9d566d26ee2f5a5581b7fd7255ad2d0e64a145ad85977a2340e006a85817cb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-06-23T02:34:30Z",
    "title_canon_sha256": "5fdae9361d47a8f5d30c78f4d5aac4bb27f981cbb748dc31da81164367f9fe11"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1906.09538",
    "kind": "arxiv",
    "version": 1
  }
}