Pith Number

pith:K4FARB3S

pith:2026:K4FARB3SM7MCOCB4I6X3UWV37T

not attested not anchored not stored refs pending

Relative Property (T), simplices of invariant measures, and existentially closed models

Tom\'as Ibarluc\'ia

arxiv:2608.07649 v1 · 2026-08-07 · math.LO · math.FA · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{K4FARB3SM7MCOCB4I6X3UWV37T}

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	2026-08-11T00:15:34.427952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

570a08877267d827083c47afba5abbfce666d4cbababea5f5cc74a143ebacf53

Aliases

arxiv: 2608.07649 · arxiv_version: 2608.07649v1 · doi: 10.48550/arxiv.2608.07649 · pith_short_12: K4FARB3SM7MC · pith_short_16: K4FARB3SM7MCOCB4 · pith_short_8: K4FARB3S

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/K4FARB3SM7MCOCB4I6X3UWV37T \
  | 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: 570a08877267d827083c47afba5abbfce666d4cbababea5f5cc74a143ebacf53

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f4e54a8d5490a4de75128bf238dcb07e2dd1a9669e158e67c25d29033f229dd2",
    "cross_cats_sorted": [
      "math.FA",
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2026-08-07T17:23:42Z",
    "title_canon_sha256": "892d1c5f0e10e8532fc16bae3d2f9fd7b75ee1b9857011dd7318e3f9f8f0748d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2608.07649",
    "kind": "arxiv",
    "version": 1
  }
}