Pith Number

pith:47ZDJ545

pith:2015:47ZDJ545WBAISOFO2LWNFYIOGI

not attested not anchored not stored refs pending

The tree property on a countable segment of successors of singular cardinals

Mohammad Golshani, Yair Hayut

arxiv:1512.02792 v3 · 2015-12-09 · 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{47ZDJ545WBAISOFO2LWNFYIOGI}

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	2026-05-18T00:49:34.804797Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e7f234f79db0408938aed2ecd2e10e3218bc04a66d15cc706476d5d4c2ca5031

Aliases

arxiv: 1512.02792 · arxiv_version: 1512.02792v3 · doi: 10.48550/arxiv.1512.02792 · pith_short_12: 47ZDJ545WBAI · pith_short_16: 47ZDJ545WBAISOFO · pith_short_8: 47ZDJ545

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/47ZDJ545WBAISOFO2LWNFYIOGI \
  | 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: e7f234f79db0408938aed2ecd2e10e3218bc04a66d15cc706476d5d4c2ca5031

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c3ae36cbe9e608dc0a159dfa05346cae60c0be8a5833f3720be378cd6b235cab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-12-09T09:09:02Z",
    "title_canon_sha256": "99fe1a779fb654185efdd7cbed6a917ddf7f2409a33b0a5ba6451f72e4a472fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.02792",
    "kind": "arxiv",
    "version": 3
  }
}