Pith Number

pith:XB4RYRUI

pith:2019:XB4RYRUII66WANVNFP3VS7GES6

not attested not anchored not stored refs pending

Saturated Free Algebras and Almost Indiscernible Theories

Anand Pillay, T. G. Kucera

arxiv:1908.02712 v5 · 2019-08-07 · 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{XB4RYRUII66WANVNFP3VS7GES6}

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	2026-07-05T03:48:03.172515Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b8791c468847bd6036ad2bf7597cc497a7bc55c6c6520c47cbaf30e03856a52a

Aliases

arxiv: 1908.02712 · arxiv_version: 1908.02712v5 · doi: 10.48550/arxiv.1908.02712 · pith_short_12: XB4RYRUII66W · pith_short_16: XB4RYRUII66WANVN · pith_short_8: XB4RYRUI

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/XB4RYRUII66WANVNFP3VS7GES6 \
  | 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: b8791c468847bd6036ad2bf7597cc497a7bc55c6c6520c47cbaf30e03856a52a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "915c363da0cca582d0ea4eb6ab82d1f5a96c2ba5210943e94d5993094076ea3b",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-08-07T16:32:53Z",
    "title_canon_sha256": "e32bebaae9fc3871d18a7712c06b3ecb7c8e2f604ac9ff5b48a0e62fc6286be7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.02712",
    "kind": "arxiv",
    "version": 5
  }
}