Pith Number

pith:IVTMWFCT

pith:2003:IVTMWFCTWAOWNC42P47ZCGMOEY

not attested not anchored not stored refs pending

A definable nonstandard model of the reals

Saharon Shelah, Vladimir Kanovei

arxiv:math/0311165 v1 · 2003-11-11 · 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{IVTMWFCTWAOWNC42P47ZCGMOEY}

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	2026-05-18T00:08:01.275363Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4566cb1453b01d668b9a7f3f91198e262f7d552fb125e7d4e434add52b91c425

Aliases

arxiv: math/0311165 · arxiv_version: math/0311165v1 · doi: 10.48550/arxiv.math/0311165 · pith_short_12: IVTMWFCTWAOW · pith_short_16: IVTMWFCTWAOWNC42 · pith_short_8: IVTMWFCT

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/IVTMWFCTWAOWNC42P47ZCGMOEY \
  | 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: 4566cb1453b01d668b9a7f3f91198e262f7d552fb125e7d4e434add52b91c425

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d83d65ad9143a5cb518f1ec6669d14916f6a90235a998555a62361d798279626",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "math.LO",
    "submitted_at": "2003-11-11T12:58:31Z",
    "title_canon_sha256": "8315dbe48d04f1d4f28759feee2e2ca998eb25aeb6cd1632d783c6b90f721bf6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0311165",
    "kind": "arxiv",
    "version": 1
  }
}