Pith Number

pith:4XQ35HMW

pith:2017:4XQ35HMWGEAMUNR24GIO5BLYBX

not attested not anchored not stored refs pending

The Strong Small Index Property for Free Homogeneous Structures

Gianluca Paolini, Saharon Shelah

arxiv:1703.10517 v3 · 2017-03-30 · 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{4XQ35HMWGEAMUNR24GIO5BLYBX}

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.

Cited by

1 paper in Pith

An unusual example of a universal automorphism group

Receipt and verification

First computed	2026-05-18T00:04:08.402904Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e5e1be9d963100ca363ae190ee85780ddf4cb1e9f365b659acd58691499a759a

Aliases

arxiv: 1703.10517 · arxiv_version: 1703.10517v3 · doi: 10.48550/arxiv.1703.10517 · pith_short_12: 4XQ35HMWGEAM · pith_short_16: 4XQ35HMWGEAMUNR2 · pith_short_8: 4XQ35HMW

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/4XQ35HMWGEAMUNR24GIO5BLYBX \
  | 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: e5e1be9d963100ca363ae190ee85780ddf4cb1e9f365b659acd58691499a759a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b05345c7d75542c4fb58433653793515de256f755a41e7b6a2620492cebd1bd5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2017-03-30T15:19:03Z",
    "title_canon_sha256": "d6c9903341c4bd34ff7bc3ad8534f422419df59b0c4b18fa7cf7b9404b9f0a58"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10517",
    "kind": "arxiv",
    "version": 3
  }
}