Pith Number

pith:PCKWVA6W

pith:2022:PCKWVA6WUBFOJ2UG5ZKWWZQ2CL

not attested not anchored not stored refs pending

On definable groups in real closed fields with a generic derivation, and related structures

Anand Pillay, Francoise Point, Ya'acov Peterzil

arxiv:2208.08293 v2 · 2022-08-17 · 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{PCKWVA6WUBFOJ2UG5ZKWWZQ2CL}

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

Generic derivations on algebraically bounded structures II. Model theoretical properties

Receipt and verification

First computed	2026-07-05T05:45:32.202626Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

78956a83d6a04ae4ea86ee556b661a12d2c049c21f4a50ab887268702c44f289

Aliases

arxiv: 2208.08293 · arxiv_version: 2208.08293v2 · doi: 10.48550/arxiv.2208.08293 · pith_short_12: PCKWVA6WUBFO · pith_short_16: PCKWVA6WUBFOJ2UG · pith_short_8: PCKWVA6W

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/PCKWVA6WUBFOJ2UG5ZKWWZQ2CL \
  | 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: 78956a83d6a04ae4ea86ee556b661a12d2c049c21f4a50ab887268702c44f289

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d644e66fec09bd56cefd909659bd9ab6b4f25ff0c5767d3212c3b3a633f7de21",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.LO",
    "submitted_at": "2022-08-17T13:47:30Z",
    "title_canon_sha256": "d0a414c15b4e0b879d6a008257be08c57861a8dd4f8595aae4089bcd1629d11a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2208.08293",
    "kind": "arxiv",
    "version": 2
  }
}