Pith Number

pith:GU5UCFKZ

pith:2019:GU5UCFKZ5D7TZZE3MH3VSUTHZB

not attested not anchored not stored refs pending

An NIP structure which does not interpret an infinite group but whose Shelah expansion interprets an infinite field

Erik Walsberg

arxiv:1910.13504 v1 · 2019-10-29 · 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{GU5UCFKZ5D7TZZE3MH3VSUTHZB}

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

Externally definable fsg groups in NIP theories

Receipt and verification

First computed	2026-07-05T00:15:52.738858Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

353b411559e8ff3ce49b61f7595267c867ec6fe50f624c194f492bd3ad4ac36d

Aliases

arxiv: 1910.13504 · arxiv_version: 1910.13504v1 · doi: 10.48550/arxiv.1910.13504 · pith_short_12: GU5UCFKZ5D7T · pith_short_16: GU5UCFKZ5D7TZZE3 · pith_short_8: GU5UCFKZ

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/GU5UCFKZ5D7TZZE3MH3VSUTHZB \
  | 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: 353b411559e8ff3ce49b61f7595267c867ec6fe50f624c194f492bd3ad4ac36d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "591a65a291ed959b3590c614574b2a7552a9233b5a1408710311f5361416da18",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2019-10-29T19:59:46Z",
    "title_canon_sha256": "c73919e9d1efe33283c154de7b00a5eea49bf5383200a0f6df2b68a8fb43c110"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1910.13504",
    "kind": "arxiv",
    "version": 1
  }
}