Pith Number

pith:IDZ563XR

pith:1996:IDZ563XRPMNHXHXJ6Y7ECPVUUF

not attested not anchored not stored refs pending

Chains of End Elementary Extensions of Models of Set Theory

Andres Villaveces

arxiv:math/9611209 v1 · 1996-11-13 · 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{IDZ563XRPMNHXHXJ6Y7ECPVUUF}

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	2026-05-18T01:05:46.932383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

40f3df6ef17b1a7b9ee9f63e413eb4a144f3f3bec6a9b5319c8464de51c8ee6f

Aliases

arxiv: math/9611209 · arxiv_version: math/9611209v1 · doi: 10.48550/arxiv.math/9611209 · pith_short_12: IDZ563XRPMNH · pith_short_16: IDZ563XRPMNHXHXJ · pith_short_8: IDZ563XR

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/IDZ563XRPMNHXHXJ6Y7ECPVUUF \
  | 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: 40f3df6ef17b1a7b9ee9f63e413eb4a144f3f3bec6a9b5319c8464de51c8ee6f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "676beaf3824065e128c5c71aa0733733824d4cad26223b3ce9bce7f66d8790e1",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "1996-11-13T00:00:00Z",
    "title_canon_sha256": "c14d726c7c0e04dea156e381b9320767a6c2a0e13a8509d59aa489f9363f7f1f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/9611209",
    "kind": "arxiv",
    "version": 1
  }
}