Pith Number

pith:APYERKKV

pith:2006:APYERKKVSESW4ONFUU3HTKR3B2

not attested not anchored not stored refs pending

Two cardinal models for singular mu

Saharon Shelah, Shimon Garti

arxiv:math/0612247 v1 · 2006-12-09 · 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{APYERKKVSESW4ONFUU3HTKR3B2}

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	2026-05-18T00:24:36.159258Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

03f048a95591256e39a5a53679aa3b0e8a66a045df350cee74bda183eb52b108

Aliases

arxiv: math/0612247 · arxiv_version: math/0612247v1 · doi: 10.48550/arxiv.math/0612247 · pith_short_12: APYERKKVSESW · pith_short_16: APYERKKVSESW4ONF · pith_short_8: APYERKKV

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/APYERKKVSESW4ONFUU3HTKR3B2 \
  | 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: 03f048a95591256e39a5a53679aa3b0e8a66a045df350cee74bda183eb52b108

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "125cf0dc870f5268228968d346b54f81a1a8739a1f47cbee27244d9d666be363",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "2006-12-09T20:33:19Z",
    "title_canon_sha256": "718e9c5b9da5165274bf94312aaadf456e0edf5299f4c0c401900964e10f32f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0612247",
    "kind": "arxiv",
    "version": 1
  }
}