Pith Number

pith:DZNSECV6

pith:2011:DZNSECV6QEZQLO3ZMQTZEOM34F

not attested not anchored not stored refs pending

Partition Calculus and Cardinal Invariants

Saharon Shelah, Shimon Garti

arxiv:1112.5772 v3 · 2011-12-25 · 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{DZNSECV6QEZQLO3ZMQTZEOM34F}

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	2026-05-18T00:17:55.793678Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1e5b220abe813305bb79642792399be170e9d8bf770a3866b342dcd95d6faa2d

Aliases

arxiv: 1112.5772 · arxiv_version: 1112.5772v3 · doi: 10.48550/arxiv.1112.5772 · pith_short_12: DZNSECV6QEZQ · pith_short_16: DZNSECV6QEZQLO3Z · pith_short_8: DZNSECV6

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/DZNSECV6QEZQLO3ZMQTZEOM34F \
  | 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: 1e5b220abe813305bb79642792399be170e9d8bf770a3866b342dcd95d6faa2d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9f08e53133bea3409e1040b976ff8ea02195e64b59ad183483e064a3970e13d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2011-12-25T09:44:43Z",
    "title_canon_sha256": "ee0dbbe0c0a93ae75187c71432f16c2c069cff77e43e38466e0ccc1b2ddee1c5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.5772",
    "kind": "arxiv",
    "version": 3
  }
}