Pith Number

pith:3OAEPSZH

pith:2015:3OAEPSZHTYDBWGO43VSBMTGNPZ

not attested not anchored not stored refs pending

Definable tree property for successors of cardinals

Ali Sadegh Daghighi, Massoud Pourmahdian

arxiv:1511.04598 v2 · 2015-11-14 · 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{3OAEPSZHTYDBWGO43VSBMTGNPZ}

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	2026-05-18T01:26:17.519960Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

db8047cb279e061b19dcdd64164ccd7e43a9a8578282a686098a5dcbdcb1e677

Aliases

arxiv: 1511.04598 · arxiv_version: 1511.04598v2 · doi: 10.48550/arxiv.1511.04598 · pith_short_12: 3OAEPSZHTYDB · pith_short_16: 3OAEPSZHTYDBWGO4 · pith_short_8: 3OAEPSZH

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/3OAEPSZHTYDBWGO43VSBMTGNPZ \
  | 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: db8047cb279e061b19dcdd64164ccd7e43a9a8578282a686098a5dcbdcb1e677

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0828d16e3ba0f6d7d3a15a0f85f209be39c0aaf1539f3ce06c926e40d252ac35",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-11-14T18:49:00Z",
    "title_canon_sha256": "25238f36fac261e8973f75b4c2d9b77ad20afb1bb0505ed009f91e6b3ba0f7ff"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.04598",
    "kind": "arxiv",
    "version": 2
  }
}