Pith Number

pith:GSHXCUIE

pith:2015:GSHXCUIESLAIZ37TASM2JUYQQ6

not attested not anchored not stored refs pending

An extension of the Ehrenfeucht-Fraisse game for first order logics augmented with Lindstrom quantifiers

Saharon Shelah, Simi Haber

arxiv:1510.06581 v1 · 2015-10-22 · 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{GSHXCUIESLAIZ37TASM2JUYQQ6}

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	2026-05-18T01:29:30.573198Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

348f71510492c08ceff30499a4d31087ae7e540a113e5e177272ae7f83824abe

Aliases

arxiv: 1510.06581 · arxiv_version: 1510.06581v1 · doi: 10.48550/arxiv.1510.06581 · pith_short_12: GSHXCUIESLAI · pith_short_16: GSHXCUIESLAIZ37T · pith_short_8: GSHXCUIE

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/GSHXCUIESLAIZ37TASM2JUYQQ6 \
  | 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: 348f71510492c08ceff30499a4d31087ae7e540a113e5e177272ae7f83824abe

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3710a6230fb3225598b19ba8dd8096bf159dca313c879adc9018ee68d90e0e82",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2015-10-22T11:23:31Z",
    "title_canon_sha256": "1a57b47e515233610794436dc8a36515f5fd4070f73329cd4e4f63f90f56bfb4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.06581",
    "kind": "arxiv",
    "version": 1
  }
}