Pith Number

pith:PVNGPP6O

pith:2015:PVNGPP6OWDZSG4IOV2FU65Y5FY

not attested not anchored not stored refs pending

Shelah's strong covering property and CH in V[r]

Esfandiar Eslami, Mohammad Golshani

arxiv:1510.02935 v1 · 2015-10-10 · 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{PVNGPP6OWDZSG4IOV2FU65Y5FY}

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	2026-05-18T01:30:33.275763Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7d5a67bfceb0f323710eae8b4f771d2e0041f1e599c8bee22abefd3f9712fd12

Aliases

arxiv: 1510.02935 · arxiv_version: 1510.02935v1 · doi: 10.48550/arxiv.1510.02935 · pith_short_12: PVNGPP6OWDZS · pith_short_16: PVNGPP6OWDZSG4IO · pith_short_8: PVNGPP6O

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/PVNGPP6OWDZSG4IOV2FU65Y5FY \
  | 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: 7d5a67bfceb0f323710eae8b4f771d2e0041f1e599c8bee22abefd3f9712fd12

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3b726704a3ad4b8b1d3f670c6b6a5618662ddea710fd863508a2e3ed68d9fa8a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-10-10T13:59:01Z",
    "title_canon_sha256": "7d1efb0e6024b6a2d3601cc20633ddbc5febbf901bc0f7157a14aec5d303957b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02935",
    "kind": "arxiv",
    "version": 1
  }
}