Pith Number

pith:PPDSRNZS

pith:2008:PPDSRNZSXIXSZLGBFYT5AV4Q6S

not attested not anchored not stored refs pending

Definability of groups in $\aleph_0$-stable metric structures

Ita\"i Ben Yaacov (ICJ)

arxiv:0802.4286 v3 · 2008-02-28 · 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{PPDSRNZSXIXSZLGBFYT5AV4Q6S}

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	2026-05-18T02:59:48.936571Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7bc728b732ba2f2cacc12e27d05790f4b52714a177fdf872716f7f525f30e8a9

Aliases

arxiv: 0802.4286 · arxiv_version: 0802.4286v3 · doi: 10.48550/arxiv.0802.4286 · pith_short_12: PPDSRNZSXIXS · pith_short_16: PPDSRNZSXIXSZLGB · pith_short_8: PPDSRNZS

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/PPDSRNZSXIXSZLGBFYT5AV4Q6S \
  | 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: 7bc728b732ba2f2cacc12e27d05790f4b52714a177fdf872716f7f525f30e8a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8d7c4fd27f494f83820bbb0a3f2ba57e7417e045d7602d174992b35f9befa567",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2008-02-28T12:40:17Z",
    "title_canon_sha256": "78e1740d632a1d1bfd349316d4a5b488a6da06b77cbf2f2aad9b7c28ec2c3514"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0802.4286",
    "kind": "arxiv",
    "version": 3
  }
}